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There are 309 questions tagged under Quantitative Skills.

1

### Q:

The slope of a curved graph at any given point is equal to

### A

the area under the graph

zero

### C

the slope of the tangent line at that point

### D

the slope of all other points on the graph

Tags: Quantitative Skills |

2

### Q:

An object moves a total displacement of 200 meters north. From its starting point, which of the following would result in such displacement?

### A

The body travels 300 meters due east and then 100 meters due west.

### B

The body travels 50 meters due west, 200 meters due north, and 50 meters due west.

### C

The body travels 200 meters due north, 50 meters due east, and 50 meters due west.

### D

The body travels 100 meters due west and then 300 meters due east.

Tags: Quantitative Skills |

3

### Q:

A cannonball with a mass of 10 kg is fired from a cannon and moves with an initial velocity of 100 meters per second at an angle of 60 degrees to the horizontal. After travelling a projectile path, the object lands in sand, displacing 36 liters of sand in its crater. Neglect air resistance and assume that g=10 m/s^2. What is the magnitude of the object's initial vertical veolocity? Note: sin(30)=0.5, cos(30)=0.866

25 m/s

50 m/s

87 m/s

### D

100 m/s

Tags: Kinematics | Quantitative Skills |

4

### Q:

The distance a car is away from the origin is given by the following equation: x=25t+3t^2. What is the acceleration at t=3 seconds?

1 m/s^2

2 m/s^2

3 m/s^2

### D

6 m/s^2

Tags: Kinematics | Quantitative Skills |

5

### Q:

The radius of the left cylinder is 1 meter. The radius of the right cylinder is 0.25 meters. If water is pumped from the left cylinder into the right cylinder through the tubing underneath, with a radius of 0.1 meters, what is the speed at which the water level rises in the right cylinder if it drops at a rate of 0.5 m/s in the left cylinder?

2 m/s

4 m/s

8 m/s

### D

16 m/s

Tags: Quantitative Skills |

6

### Q:

A particular species of monkey is in Hardy-Weinberg equilibrium. The monkeys notably have a dominant trait of white hair, and a recessive trait of black hair. In a field study, it was found that out of 1000 monkeys, 840 had white hair. How many monkeys are heterozygous?

300

400

500

### D

600

Tags: Quantitative Skills |

7

### Q:

You are given three capacitors of capacitance X. If you are allowed to place the capacitors in a circuit in any fashion, how many different effective capacitances can you get?

1

2

3

### D

4

Tags: Circuits | Quantitative Skills |

8

### Q:

In a particular iguana species, the gene for green skin (G) is dominant over the gene for brown skin (g). If 50% of a large offspring of iguana have brown skin, the parental cross that produced this litter was most likely

GG x Gg

GG x GG

Gg x gg

### D

gg x gg

Tags: Mendelian Concepts | Quantitative Skills |

9

### Q:

The R enantiomer of compound X rotates light +10 degrees. If a solution is made of 75% the R enantiomer and 25% the S enantiomer, what is the expected rotation of light for the solution?

+2.5 degrees

+3.8 degrees

+5 degrees

### D

+7.5 degrees

Tags: Atomic & Electronic Structure | Quantitative Skills |

10

### Q:

The molecular mass of KOH is 56. In a reaction with another compound X, 1 mol of KOH is added to 1 mol of compound X. Compound X has a molecular mass of 200. The matrix of the reaction is only water, and upon rotary evaporation, 238 grams of product are recovered. Assuming 100% recovery of the product and a 100% completed reaction, what is the most likely explanation for the mass discrepancy?

### A

The caustic solution reacted with compound X in such a way that volatile compounds were liberated and later evaporated

### B

The K+ replaced the H on -OH, allowing the H to react with OH- to form water which was evaporated

### C

Two OH- for each KOH reacted with compound X to give a mass of 238 grams

### D

There is no mass discrepancy; 238 is the maximum amount of product that can be recovered from the reaction

Tags: Stoichiometry | Quantitative Skills |

11

### Q:

In a dihybrid cross, what is the probability of an individual being heterozygous in both traits?

1/2

1/4

1/8

### D

1/16

Tags: Mendelian Concepts | Quantitative Skills |

12

### Q:

A can is filled from above with a round faucet whose radius is 1 cm. The water flows out of the faucet at a rate of 0.5 m/s with a volume-flow rate of 150 mL/s. The level of liquid in the can remains constant as it is drained from a hole with a radius of 2 cm. What is the volume-flow rate of the draining hole?

75 mL/s

150 mL/s

300 mL/s

### D

√150 mL/s

Tags: Quantitative Skills |

13

### Q:

Elemental analysis of a compound shows that it is composed of 85% Carbon and 15% Hydrogen by mass. What is the most likely identity of the compound?

C3H6

C3H8

C4H8

### D

Impossible to determine with the information given.

Tags: Periodic Table | Quantitative Skills |

14

### Q:

How far will a brick starting from rest fall freely in 3.0 seconds?

15 m

29 m

44 m

### D

88 m

Tags: Kinematics | Quantitative Skills |

15

### Q:

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south in 5.0 seconds. What is the magnitude of the average velocity of the car during this 20-second interval?

2.5 m/s

5.0 m/s

6.5 m/s

### D

7.0 m/s

Tags: Kinematics | Quantitative Skills |

16

### Q:

The slope of the velocity vs. time graph is known as:

distance

velocity2

acceleration

### D

impulse

Tags: Kinematics | Quantitative Skills |

17

### Q:

A rock is thrown horizontally off of a cliff at 15 m/s. The cliff is 200 m above a river. About how long will it take the rock to land in the river?

2 sec

4 sec

6 sec

### D

8 sec

Tags: Kinematics | Quantitative Skills |

18

### Q:

A fluid moves through a tube of diameter 10 with a speed v. The fluid continues flow, and reaches a different section of the tube which has diameter 20. What is the velocity through this section of tubing?

v

v/2

v/4

### D

2v

Tags: Kinematics | Fluids | Quantitative Skills |

19

### Q:

What is the magnitude of force on an object with a charge of q = 2 in an electric field of 5 V/m?

0.4 N

1.25 N

2.5 N

### D

10 N

Tags: Electrostatics | Quantitative Skills |

20

### Q:

F = kQq / εr2 where ε is the dielectric constant of a non-vacuum medium. Media of higher polarity have higher dielectric constants. Consider a protein in a solution of water. Two oppositely-charged amino acid residues of the protein are located 10 Angstroms apart, while a typical hydrogen bond has a length of 1.5-3.0 Angstroms. Which of the following scenarios would be predicted by the given information? Assume the distance between the amino acid residues and their respective charges remain constant in each scenario.

### A

The force pulling together the amino acid residues would increase if the residues were found on the surface of the protein than if they were found on the inside of the protein.

### B

The force pulling together the amino acid residues would decrease if the residues were found on the surface of the protein than if they were found on the inside of the protein.

### C

The force pulling together the amino acid residues would reverse direction (to push the residues apart) if the residues were found on the surface of the protein than if they were found on the inside of the protein.

### D

The force pulling together the amino acid residues would remain unchanged if the residues were found on the surface of the protein than if they were found on the inside of the protein.

Tags: Protein Structure and Function | Quantitative Skills |

21

### Q:

A particular genetic disease is autosomal recessive. What are chances that an individual offspring will have the disease if both parents are unaffected carriers?

1/4

1/2

3/4

### D

1

Tags: Mendelian Concepts | Quantitative Skills |

22

### Q:

An important tool for computational biology is the assessment of prediction results. Consider a eukaryotic gene transcript whose introns have not yet been spliced out. A computational tool predicts the exons and introns, finding several of both. To assess the sensitivity of this method, i.e. the ability of the tool to correctly find the true positives that are actually present, which of the following equations would be most useful?

### A

True Positives / (True Positives + False Negatives)

### B

True Positives / (True Positives + False Positives)

### C

True Positives / (True Negatives + False Negatives)

### D

True Positives / (False Negatives + False Positives)

Tags: Quantitative Skills |

23

### Q:

Observe the following growth curve for a yeast in fresh medium.

Which of the following statements is true about the growth of the yeast at time = t?

### A

There is no cell growth

### B

There is no cell division

### C

There is no cell death

### D

Cell division = cell death

Tags: Prokaryotes | Quantitative Skills |

24

### Q:

The New Year's Eve Ball in Times Square begins at a height H above the ground. The ball takes T seconds to make its way down (assuming freefall with negligible air resistance). If the gravitational force on Earth were reduced by four, how long would it take for the ball to make its way down?

T

2T

4T

### D

8T

Tags: Kinematics | Quantitative Skills |

25

### Q:

An asteroid is being tracked by a astronomer. The astronomer wishes to ascertain the distance the asteroid is from his telescope. The asteroid is at an angle of 60 degrees to the horizon with respect to the telescope. The telescope shines a laser on the asteroid, and sees that it took 0.02 seconds for the light to hit the asteroid and return. What is the distance of the asteroid from the telescope?

6x106sin(60°) m

3x106sin(60°) m

6x106 m

### D

3x106 m

Tags: Electromagnetics | Quantitative Skills |

26

### Q:

The saponification value of triacylglycerides is a measure of the mass of NaOH required to detach, as sodium salts, the fatty acid chains from 1 gram of the triacylglycerides. Samples A and B have saponification values of 180 mg and 320 mg respectively. Which sample has longer fatty acid chains (on average) and why?

### A

A because the mass of NaOH required is directly proportional to the mass of fat based on the length of the fatty acid chains

### B

A because the mass of NaOH required is inversely proportional to the mass of fat based on the length of the fatty acid chains

### C

B because the mass of NaOH required is directly proportional to the mass of fat based on the length of the fatty acid chains

### D

B because the mass of NaOH required is inversely proportional to the mass of fat based on the length of the fatty acid chains

Tags: Lipids | Quantitative Skills |

27

### Q:

A gas decomposes via zero order reaction to twice the number of moles. If the first half-life of the reaction is complete in 20 seconds, and the volume of the reaction system is 1 L, what will the volume be after 40 seconds? Assume constant temperature and pressure.

1.5 L

1.75 L

2 L

### D

The volume cannot be determined from the information given.

Tags: Gases | Chemical Kinetics | Quantitative Skills |

28

### Q:

In the production of ceramic water filters, 5 kg of dry clay is added with 2.5 kg of water. Once the filter has been formed and dried for 2 hours, the mass of the filter is 5.5 kg. What is the percent water content of the filter after 2 hours?

0%

9%

31%

### D

33%

Tags: Quantitative Skills |

29

### Q:

A 10-ton press stamps tokens of 3 millimeter thickness. The thickness T is determined by the square of the number of tons applied by the press. What is the thickness of a token stamped with 100 tons?

0.03 mm

31/2 mm

9 mm

### D

The answer cannot be determined with the information given.

Tags: Quantitative Skills |

30

### Q:

A mass of 1 kg is tied to a 2-meter string and spun in circles at 60 rpm. What is the tension in the string? Assume π = 3.

9.8 N

18 N

72 N

### D

288 N

Tags: Forces | Quantitative Skills |

31

### Q:

A first-order reaction has a half-life of 10 hours. How long will it take for the substance to decay to 6% of its initial value?

10 hours

20 hours

40 hours

### D

80 hours

Tags: Chemical Kinetics | Quantitative Skills |

32

### Q:

The S enantiomer of a compound rotates light +10 degrees. If a solution is made of 75% the R enantiomer and 25% the S enantiomer, what is the expected rotation of light for the solution?

-7.5 degrees

-5 degrees

5 degrees

### D

7.5 degrees

Tags: Atomic & Electronic Structure | Quantitative Skills |

33

### Q:

The area under the curve of the velocity vs. time graph depicts

### A

instantaneous velocity

average velocity

acceleration

### D

distance traveled

Tags: Kinematics | Quantitative Skills |

34

### Q:

Compound I is phthalic acid (benzene-1,2-dicarboxylic acid) while Compound II is phthalic anhydride (2-benzofuran-1,3-dione). Phthalic anhydride can be prepared from phthalic acid by adding heat. The reaction involves the loss of a molecule. Which molecule is lost from phthalic acid to prepare phthalic anhydride?

CO

CO2

H2O2

### D

H2O

Tags: Quantitative Skills |

35

### Q:

A solid metal sphere is heated to 200 °C. Energy input ceases and the sphere is cooled in air. The following time and temperature data are taken:

 t (min) temp (°C) 0 200 5 185 10 155 15 130 20 105

At what time point would you expect the temperature to be 25 °C?

25 min

30 min

35 min

### D

40 min

Tags: Quantitative Skills |

36

### Q:

If 1 m3 is 1000 L, how many L are in 1 dm3? (1 dm = 10 cm)

0.1

1

10

### D

100

Tags: Quantitative Skills |

37

### Q:

112 g of an isotope are present at t = 0. At t = 18 minutes, 28 g of isotope remain. What is the half life of the isotope?

4.5 minutes

9 minutes

18 minutes

### D

36 minutes

Tags: Nuclear Chemistry | Quantitative Skills |

38

### Q:

A metal ball on a lake has a homogeneous density of 0.30 g/mL and a volume of 5 L. What percentage of the volume of the ball rests above the water?

0%

30%

70%

### D

100%

Tags: Forces | Quantitative Skills |

39

### Q:

A 10-kg object sits on a 30° incline as shown in the diagram below.

What is the minimum coefficient of static friction needed to keep the object unmoving on the incline? Assume g = 10 m/s2. Note: the diagram is not drawn to scale.

sin(60°)

sin(30°)

### C

sin(60°)/sin(30°)

### D

sin(30°)/sin(60°)

Tags: Forces | Quantitative Skills |

40

### Q:

Two spherical bubbles merge into a single spherical bubble with no loss of total volume. Both bubbles have volume V, with radius r. What is the radius of the merged bubble?

1.5(1/3)r

2(1/3)r

2.5(1/3)r

### D

3(1/3)r

Tags: Quantitative Skills |

41

### Q:

A mass lies on a horizontal, frictionless beam and is attached to a horizontal spring with spring constant k. At full extension, the potential energy of the system is U while the kinetic energy, K, of the system is 0. What is the ratio of the potential energy to kinetic energy when the spring is at half its full extension, assuming the mass is released from full extension?

1:3

1:4

4:1

### D

3:1

Tags: Energy & Work | Quantitative Skills |

42

### Q:

In a particular population, 40% of the alleles for a particular gene are dominant and 60% are recessive. What percentage of the population are heterozygous? Assume that the population is in Hardy-Weinberg equilibrium.

12%

24%

36%

### D

48%

Tags: Mendelian Concepts | Quantitative Skills |

43

### Q:

A researcher crosses a heterozygous yellow (dominant) plant with a homozygous recessive red plant. In the next generation, 653 plants were yellow. Which of the following answers is an approximate prediction for the number of red plants in the same generation as the 653 yellow plants?

0

238

653

### D

978

Tags: Mendelian Concepts | Quantitative Skills |

44

### Q:

A heterozygous cross produces 1000 offspring. The offspring are paired, isolated, then mated, with all genotype pair combinations present in equal frequency. What proportion of the pairs will produce identical genotypes for all offspring indefinitely in subsequent generations?

1/8

1/6

1/3

### D

1/2

Tags: Mendelian Concepts | Quantitative Skills |

45

### Q:

Through a length decay process, compound X becomes compound Y. Compound X has 92 protons and an atomic mass of 238. Compound Y has 73 protons and an atomic mass of 198. Which of the following represents a potential decay reaction that could yield compound Y?

10 alpha decays

### B

5 alpha decays, followed by 1 beta decay, followed by 5 alpha decays

### C

10 alpha decays followed by 2 gamma decays

### D

5 alpha decays, followed by 1 electron capture, followed by 5 alpha decays

Tags: Nuclear Chemistry | Quantitative Skills |

46

### Q:

The potential at a point due to a unit positive charge is found to be V. If the distance between the charge and the point is quadrupled, the potential becomes

4V

V/4

V/16

### D

V

Tags: Electrostatics | Quantitative Skills |

47

### Q:

An unknown substance was shown to have a half-life of 5.0 seconds. If you observe 12.5 g of the substance after 15.0 seconds, how much of the substance was there initially?

12.5 g

25.0 g

50.0 g

### D

100 g

Tags: Nuclear Chemistry | Quantitative Skills |

48

### Q:

A mouse breeder found that the offspring between two mice had a 25% frequency of "bb" genotype. What was the genotype of their parents?

BB x Bb

bb x bb

Bb x Bb

### D

BB x bb

Tags: Mendelian Concepts | Quantitative Skills |

49

### Q:

The molecular weight of a gas is 4 times greater than that of another gas. What is the relative rate of diffusion between the two gases? (i.e. The heavier gas diffuses ____ times as fast as the lighter gas).

0.25

0.5

4

### D

8

Tags: Gases | Quantitative Skills |

50

### Q:

Two organisms with the genetic makeup of RrSs are crossed. R and S are dominant. What fraction of the offspring do we expect to have exhibit phenotypic, dominant traits (RS)?

1/16

3/16

1/4

### D

9/16

Tags: Mendelian Concepts | Quantitative Skills |

51

### Q:

Water flows through a cylindrical pipe. Initially, the water flows at 2.0 m/s in a section where the pipe radius is 6.0 m. The pipe then constricts to a pipe radius of 3.0 m. What is the water velocity through this section? Assume no friction.

2 m/s

4 m/s

8 m/s

### D

16 m/s

Tags: Kinematics | Quantitative Skills |

52

### Q:

A cube of metal masses 50 kg and has an apparent mass of 30 kg when immersed in water. What is the volume of the cube?

10 L

20 L

80 L

### D

Cannot be determined from the given information.

Tags: Forces | Quantitative Skills |

53

### Q:

A 25 cm spring is stretched by 3 cm by a pulling force of 9 N. If a pulling force of 21 N is applied (assuming the spring obeys Hooke's Law), how long is the spring then?

7 cm

12 cm

28 cm

### D

32 cm

Tags: Energy & Work | Quantitative Skills |

54

### Q:

A 10 m seesaw is set-up with the point of rotation in the middle. A 15 kg mass is placed 1 m from this point on one side. How far is the heavier mass from the 5 kg mass (on the other side of the focal point) if the seesaw is balanced?

3 m

4 m

5 m

### D

7 m

Tags: Forces | Quantitative Skills |

55

### Q:

Two pistons, filled with an incompressible fluid, are connected to each other. A force of 10 N is applied on one piston, which moves 3 cm. A force is 5 N is on the other piston. How far does this second piston move?

1.5 cm

3 cm

6 cm

### D

9 cm

Tags: Forces | Quantitative Skills |

56

### Q:

What is the energy required to run a 100 W machine for one hour?

1 kJ

100 kJ

60 kJ

### D

360 kJ

Tags: Energy & Work | Quantitative Skills |

57

### Q:

In a di-hybrid cross, what fraction of the offspring will be homozygous for both recessive traits?

1/16

3/16

5/16

### D

9/16

Tags: Mendelian Concepts | Quantitative Skills |

58

### Q:

Three capacitors are lined in parallel. The respective capacitance values are 1 F, 2 F and 3 F. What is the effective capacitance of the three capacitors?

5 F

6 F

11/6 F

### D

5/6 F

Tags: Circuits | Quantitative Skills |

59

### Q:

The energy stored in a capacitor is 60 J. The circuit voltage is 2 volts. What is the capacitance of the capacitor?

15 F

30 F

60 F

### D

120 F

Tags: Circuits | Quantitative Skills |

60

### Q:

1 mole of C5H12 is combusted in a chamber containing 10 moles of O2. How many moles of water are produced, assuming complete combustion of the hydrocarbon?

1 mole

5 moles

6 moles

### D

8 moles

Tags: Stoichiometry | Quantitative Skills |

61

### Q:

The focal length of a mirror is 2 meters. What is its radius of curvature?

0.25 m

0.5 m

2 m

### D

4 m

Tags: Optics | Quantitative Skills |

62

### Q:

When a horizontal 10 N force moves a 100 kg object across a horizontal distance of 40 m, how much work is done?

400 J

1000 J

4000 J

### D

40000 J

Tags: Energy & Work | Quantitative Skills |

63

### Q:

A 20.0 eV photon collides with a hydrogen atom which was initially in ground state (with an ionization potential of 13.6 eV). Calculate the kinetic energy of the ejected electron.

6.4 eV

13.6 eV

20.0 eV

### D

33.6 eV

Tags: Atomic & Electronic Structure | Quantitative Skills |

64

### Q:

An upright object is located on the axis of a convex lens, 6 focal lengths from the lens center. An inverted image is seen at a distance of 3/2 focal lengths on the opposite side of the lens. Calculate the ratio of the image to object height.

3/2

1/4

2/3

### D

4/1

Tags: Optics | Quantitative Skills |

65

### Q:

A sled on a horizontal plane has a massless rocket attached which provides a force of F in the +x direction for exactly 100 m. The frictional force B is equal to F at velocity V of the sled, and the velocity of the sled remains constant for the full 100 m during which F = B. How much work is done on the sled by the force of friction during the 100 m slide?

100B

100/B

B/100

### D

0

Tags: Energy & Work | Quantitative Skills |

66

### Q:

If Sally can bounce 5m in the air on a trampoline, how fast is she going when she reaches the trampoline? Assume g = 10 m/s2

4 m/s

7 m/s

10 m/s

### D

Cannot be determined from the given information.

Tags: Kinematics | Quantitative Skills |

67

### Q:

An azeotrope is a mixture of two or more liquids which distill together as if they were a single compound. Ethanol and water form an azeotrope, making it difficult to purify ethanol. Addition of benzene can help to solve this problem: benzene, ethanol, and water boil at a ratio of 7:17:76 water:ethanol:benzene. This leaves behind almost all of the excess ethanol. During a distillation, you work with a mixture whose ratio is 7:20:76. What remains after the water:ethanol:benzene azeotrope has boiled off?

3 parts ethanol

### B

Everything; the azeotrope will not boil if the liquids are not in the correct proportions.

### C

Nothing; the azeotrope will adjust to accommodate the extra 3 parts of ethanol

### D

This this cannot be determined based on the starting ratios because adjustments to the starting proportions can have unpredictable consequences on the ratio at which the azeotrope will boil.

Tags: Separation and Purification | Quantitative Skills |

68

### Q:

Bill jumps off a diving board 20 m off the ground. How long is he in the air before he hits the water? Assume g = 10 m/s2

1 second

1.4 seconds

2 seconds

### D

4 seconds

Tags: Kinematics | Quantitative Skills |

69

### Q:

The distance from the Earth to a satellite is 1.5 x 1015 meters. A radio signal is sent from the Earth to this satellite. How long would it take for the radio station on Earth to detect the returning signal from the satellite, from the time that it was first sent from Earth? Assume there is 0 time delay from the time the satellite receives the signal to the time it returns a signal.

2 x 106 seconds

5 x 106 seconds

1 x 107 seconds

### D

5 x 105 seconds

Tags: Kinematics | Quantitative Skills |

70

### Q:

An ideal gas does work on the surroundings and undergoes an expansion from 10 L to 20 L. The external pressure is constant at 1 atm. The surroundings did 1000 work on the gas. What was the change in the internal energy of the gas? (1 L*atm = 100 J)

-1000 J

1000 J

0 J

### D

2000 J

Tags: Energy & Work | Gases | Quantitative Skills |

71

### Q:

A ball is kicked vertically with a certain initial velocity and reaches a maximum height of 20 meters before falling again. What was the initial vertical velocity of the ball?

10 m/s

20 m/s

40 m/s

### D

5 m/s

Tags: Kinematics | Quantitative Skills |

72

### Q:

A ball falls from a 10m cliff. It has reached terminal velocity 1 m from the ground. What is the ball's acceleration at this point?

0 m/s2

1 m/s2

9 m/s2

### D

10 m/s2

Tags: Kinematics | Quantitative Skills |

73

### Q:

There are two resistors, each 0.5 Ohm, in series in a circuit. The power from the circuit can be used by a machine to lift a mass of 40 kg up 1 meter in a second. What is the current running through the circuit?

5 amperes

10 amperes

15 amperes

### D

20 amperes

Tags: Circuits | Quantitative Skills |

74

### Q:

How much more force must a person use to lift a 5 kg box up a height of 5 meters than to push it up the same height using a ramp that has a slope 15 meters long?

### A

the same amount of force

### B

2 times more force

### C

3 times more force

### D

4 times more force

Tags: Energy & Work | Quantitative Skills |

75

### Q:

A car is traveling at a constant velocity of 30 m/s. If the driver suddenly brakes and decelerates at 5 m/s2, how far would the car travel before coming to a complete stop?

60 meters

90 meters

180 meters

### D

15 meters

Tags: Kinematics | Quantitative Skills |

76

### Q:

A triangular ramp has a width of 3 meters and height of 4 meters. If the height of the ramp increases to 12 meters while maintaining the same width, how much more work is required to bring an object from the ground to the top of the ramp?

### A

1 times more work

### B

2 times more work

### C

3 times more work

### D

4 times more work

Tags: Energy & Work | Quantitative Skills |

77

### Q:

The energy stored in a capacitor is 100 kJ. The capacitance of the capacitor is equal to 0.02 F. What is the charge that can be held in the capacitor?

5 C

10 C

63 C

### D

20 C

Tags: Circuits | Quantitative Skills |

78

### Q:

There is a 6V circuit with a 2Ω resistor followed in series by two more 2Ω resistors (which are parallel to each other). What is the current running through this circuit?

1 A

2 A

4 A

### D

0.5 A

Tags: Quantitative Skills | Circuits |

79

### Q:

A gust of wind blows a small potted plant off a windowsill. If the windowsill is 10 meters off of the ground, what is the approximate vertical speed of the plant when it hits the ground?

5 m/s

10 m/s

14 m/s

### D

20 m/s

Tags: Kinematics | Quantitative Skills |

80

### Q:

At 200 K, Substance X is in the liquid phase. Substance X vaporizes at 400 K and has a heat of vaporization of 49.1 kJ/kg. The heat capacity of Substance X is 640 J/kg*°C. What energy input is required to fully vaporize 1 g of Substance X if its initial temperature is 200 K?

49.1 J

128 J

177.1 J

### D

49.23 kJ

Tags: Thermochemistry | Quantitative Skills |

81

### Q:

A 5-Coulomb charge moves 10 m down a 50 N/C electric field. How much work was done to move the charge down the field?

1 J

25 J

100 J

### D

2500 J

Tags: Energy & Work | Electrostatics | Quantitative Skills |

82

### Q:

An increase in sound intensity by a factor of 1000 corresponds to what increase in decibels?

10 dB

30 dB

50 dB

### D

100 dB

Tags: Sound | Quantitative Skills |

83

### Q:

In a population, there are only two alleles for a gene: B (dominant allele) and b (recessive allele). The ratio of B to b alleles in the population is 4 to 1. According to the Hardy-Weinberg equilibrium, what is the likeliness that a member of the population is heterozygous?

2/25

4/25

8/25

### D

16/25

Tags: Mendelian Concepts | Evolution | Quantitative Skills |

84

### Q:

A reaction is given by the following equation:

3 A + B → 2 C + D

Over 5 seconds, the concentration of reactant A decreased from 8.0 x 10-5 M to 2.0 x 10-5 M. What is the rate of the reaction?

6 x 10-5 M/s

4 x 10-6 M/s

2 x 10-5 M/s

### D

1.2 x 10-6 M/s

Tags: Chemical Kinetics | Quantitative Skills |

85

### Q:

A ball of mass 1 kg is dropped and reaches a final velocity of 3 m/s before hitting the ground. From what height was the ball dropped?

0.45 m

0.9 m

1.4 m

### D

2 m

Tags: Kinematics | Quantitative Skills |

86

### Q:

Magnesium and Copper (I) Sulfate are reacted to form Magnesium Sulfate and Copper. If 48 g of Magnesium are present initially and 32 g of Copper are formed, how many grams of Copper (I) Sulfate have reacted?

40 g

56 g

115 g

### D

160 g

Tags: Stoichiometry | Quantitative Skills |

87

### Q:

Anna masses 30 kg and is on a seesaw with her older sister who masses 50 kg. The see-saw is 10m long and its center is balanced on the fulcrum. If Anna is sitting at one end of the see-saw, where on the other side must her older sister sit such that the see-saw will be balanced?

### A

1 m from the center

### B

2 m from the center

2 m from the end

### D

At the end

Tags: Forces | Quantitative Skills |

88

### Q:

In which of the following populations is the recessive phenotype more abundant than the dominant phenotype, where p represents the dominant allele and q represents the recessive allele?

p = 0.4, q = 0.6

p = 0.3, q = 0.7

p = 0.2, q = 0.8

### D

The recessive genotype is more abundant than the dominant phenotype in all of these populations

Tags: Evolution | Quantitative Skills |

89

### Q:

If a ball is shot directly upwards with an initial velocity of 50 m/s, what is its displacement after 7 seconds?

75 m

105 m

145 m

### D

175 m

Tags: Kinematics | Quantitative Skills |

90

### Q:

The third harmonic of a standing wave between two walls has a wavelength of 1.5 m. What is the distance between the walls?

0.5 m

1.5 m

2.25 m

### D

4.5 m

Tags: Periodic Motion | Quantitative Skills |

91

### Q:

What is the Ksp of the following compound when dissolved in water

AB2 → A+ + 2B-

if the concentrations of A and B are 0.2 M and 0.4 M, respectively?

0.032 M3

0.080 M3

0.320 M3

### D

2.000 M3

Tags: Chemical Kinetics | Quantitative Skills |

92

### Q:

What is the percent mass of aluminum in Al2(SO4)3?

7.9%

15.8%

19.4%

### D

33.3%

Tags: Periodic Table | Quantitative Skills |

93

### Q:

A spring oscillates on a horizontal frictionless surface. At the end of the spring is attached a block of mass M. For any given spring extension, by how much does the spring potential energy change if the mass M is doubled to 2M?

### A

The energy halves.

### B

The energy remains the same.

### C

The energy doubles.

### D

The energy quandruples.

Tags: Energy & Work | Periodic Motion | Quantitative Skills |

94

### Q:

What is the focal length of a concave mirror with a radius of 1 m?

0.25 m

0.5 m

1 m

### D

2 m

Tags: Optics | Quantitative Skills |

95

### Q:

Object A chases Object B as in the diagram above. Object A emits a sound with a frequency of 1000 Hz. What is the frequency of sound heard by Object B if the velocity of sound is 350 m/s?

880 Hz

940 Hz

1060 Hz

### D

1120 Hz

Tags: Kinematics | Sound | Quantitative Skills |

96

### Q:

A charge of 3 C moves at 10 m/s through a magnetic field of 10 T. What is the maximum force it can experience assuming varied angles of passage through the magnetic field?

3 N

30 N

300 N

### D

3000 N

Tags: Electromagnetics | Quantitative Skills |

97

### Q:

In the schematic above, what is the magnitude of the downward acceleration of Block B?

0.9 m/s2

1.1 m/s2

5.5 m/s2

### D

10 m/s2

Tags: Forces | Equilibrium | Quantitative Skills |

98

### Q:

What is the percent yield of the reaction

3 Fe2O3 + CO → 2 Fe3O4 + CO2

if you start with 4 moles of Fe2O3 and 6 moles of CO, yielding 1.5 moles of Fe3O4?

16%

25%

56%

### D

67%

Tags: Stoichiometry | Quantitative Skills |

99

### Q:

Airfoils can generate lower pressures on their top surfaces than their bottom surfaces which lie at atmospheric pressure. This helps air on the bottom push the airfoil upwards. For a flying 500kg airfoil with an area of 20 m2, what is the maximum pressure on its top surface? Assume air pressure is 100 kPa. 1 Pa = 1 N/m2

0 Pa

250 Pa

75000 Pa

### D

99750 Pa

Tags: Forces | Quantitative Skills |

100

### Q:

A sound is emitted at point A in space, and radiates as a sphere in all directions outward. The total energy emitted by the sound at point A is 100 W. What is the total energy of the entire sound wave at a distance d from point A? Assume no friction.

100/d W

100/d2 W

100d2 W

### D

100 W

Tags: Energy & Work | Sound | Quantitative Skills |

101

### Q:

The frequency of a sonar pulse is given to be 4 Hz. The efficiency of a wave at a distance D can be described as E = T2/4Dkπ, where E is efficiency, T is period, and k is a scaling constant. For the sonar pulse, the efficiency is found to be X. What is the efficiency if frequency is increased to 8 Hz?

X/4

2X

3X

### D

4X

Tags: Sound | Quantitative Skills |

102

### Q:

A large board is held up by a pivot, as shown in the diagram above. It is known that 3X = Y. For the board to be in static equilibrium, which of the following must be true?

### A

The mass of the left block must be three times less than the mass of the right block

### B

The mass of the right block must be three times less than the mass of the left block

### C

The force of gravity on the left and right blocks are equal

### D

Net torque around the pivot need not be zero

Tags: Forces | Equilibrium | Quantitative Skills |

103

### Q:

At what magnitude of extension is the kinetic energy equal to the spring potential energy of a mass on the end of a spring where the spring constant is 700 N/m, and total energy is 1000 J?

1.19 m

1.43 m

2.05 m

### D

2.54 m

Tags: Periodic Motion | Quantitative Skills |

104

### Q:

A 5kg block slides down a frictionless incline of 30°. The moment it reaches 1 m/s down the incline, it hits a rough surface. What is the minimum coefficient of kinetic friction of the surface for it to stop the block before it reaches the bottom of the incline?

2/(5√3)

2/5

(√3)/2

### D

There is not enough information to answer the question.

Tags: Energy & Work | Quantitative Skills |

105

### Q:

A block slides across a plane for 15 m during which time it encounters a constant force of 100 N. If the average velocity of the block across the plane is 5 m/s, what is the power exerted on the block in Watts?

200 W

300 W

500 W

### D

The question cannot be answered with the information given.

Tags: Energy & Work | Quantitative Skills |

106

### Q:

The sensitivity of a cancer-detection procedure is given by the number of true positives divided by the number of true positives plus the number of false negatives. Given the data table below, what is the sensitivity of the detection procedure?

 With Disease No Disease Test + 400 50 Test - 100 450

1.00

0.95

0.90

### D

0.80

Tags: Quantitative Skills |

107

### Q:

How many grams of CO2 are produced in the reaction of

Al2(CO3)3 → Al2O3 + CO2 (unbalanced)

if you start with 3 moles of Al2(CO3)3 and the reaction yield is 60%?

5.4 g

79 g

238 g

### D

397 g

Tags: Stoichiometry | Quantitative Skills |

108

### Q:

The vapor pressure of an unknown pure liquid is 28 mmHg. If 4 moles of nonvolatile solute are dissolved into the liquid to form 7 moles of solution, what is the vapor pressure of the solution?

12 mmHg

16 mmHg

49 mmHg

### D

There is not enough information to determine the answer.

Tags: Fluids | Solutions | Quantitative Skills |

109

### Q:

Ball A is buoyant in an unknown liquid and has a mass of a with a volume V. A non-buoyant Ball B of mass b and volume R is suspended from Ball A. If the two remain buoyant, what is the buoyant force on the two balls combined?

ρ(V + R)

(a + b)g

(a + b)/(V + R)

### D

Va/Rb

Tags: Forces | Quantitative Skills |

110

### Q:

Which of the following is true regarding a concentration cell as the one depicted above, where both electrodes are composed of solid metal A?

### A

Electrons will flow from the half cell with the lower ion concentration to the half cell with the higher ion concentration.

### B

The salt bridge will transport A+ ions

### C

A+ ions will flow from the high-concentration electrode to the low-concentration electrode

### D

No voltage will be generated because the two half cells contain identical metals

Tags: Electrochemistry | Quantitative Skills |

111

### Q:

What is the empirical formula of a compound that is composed of 60.8% Na, 28.6% B, and 10.5% H by mass?

NaB2H6

NaB2H4

NaBH4

### D

Na2BH8

Tags: Periodic Table | Quantitative Skills |

112

### Q:

A circuit contains two capacitors in series. Their capacitance is R and Q where R < Q. Which of the following is true about the capacitance C of the circuit?

C = R + Q

C < R

R < C < Q

### D

1/C = R + Q

Tags: Circuits | Quantitative Skills |

113

### Q:

A spring with a 1kg mass attached to it oscillates with an amplitude of 15 cm. The frictionless surface on which it oscillates is replaced with a surface with a μk of 0.25. If the spring oscillates through 20 periods before coming to a halt, what was the original energy of the system? Assume each of the 20 periods covers the same distance.

7.5 J

15 J

30 J

### D

The answer cannot be determined with the given information

Tags: Periodic Motion | Quantitative Skills |

114

### Q:

A newly-discovered weak acid has a pKa of 4.8. A solution of this acid is found to have a pH of around 4.8. The concentration of the protonated form is increased 1000-fold. Which of the following is closest to the new pH of the solution?

0

1

2

### D

3

Tags: Acid/Base Equilibria | Quantitative Skills |

115

### Q:

As the mass of a planet increases, the weight of an object on the planet will

### A

only increase if the object's mass increases

### B

increase linearly with the planet's mass

### C

increase proportional to the square of the planet's mass

### D

increase proportional to the square of the object's mass

Tags: Forces | Quantitative Skills |

116

### Q:

An object is thrown off a cliff at a height of 225 m with a horizontal velocity of 30 m/s. What is its horizontal distance traveled?

100 m

150 m

200 m

### D

225 m

Tags: Kinematics | Quantitative Skills |

117

### Q:

A sphere of volume V floats in the middle of a river. The water has density d and the sphere displaces a volume X of the water. Which of the following expressions correctly gives the relationship for the mass of the sphere? (g refers to the acceleration due to gravity)

dX

dV2/X

dV/X2

### D

dgX

Tags: Forces | Quantitative Skills |

118

### Q:

What is the final velocity of a block traveling down a 5-m long frictionless incline at an angle of 18 degrees to the horizontal? Assume its starting velocity was 0 m/s at the top of the incline.

5.4 m/s

7.1 m/s

9.7 m/s

### D

there is not enough information to answer the question

Tags: Energy & Work | Quantitative Skills |

119

### Q:

A particular drug has a half-life of 3 hours. 10 g of the drug are administered to a patient, and then after 6 hours, an additional 20 g are administered. Approximately how much total drug will be in the system after a period of 12 hours after the initial administration of the drug? Assume that there are no alternative exit routes of the drug out of the body.

5 g

10 g

15 g

### D

2 g

Tags: Quantitative Skills |

120

### Q:

A diver goes deeper and deeper into a lake in Africa. Physicists have found that the lake has the mysterious property that the density at any point in the lake is proportional to the square of its depth. At a depth of H, the pressure the diver experiences is equal to P. If the diver delves to a depth of 2H, which of the following must hold true?

### A

The pressure experienced at 2H is 2P

### B

The pressure experienced is greater than 8P

### C

The pressure experienced is equal to 8P

### D

None of the above

Tags: Quantitative Skills |

121

### Q:

The kcat is a measurement of the number of molecules of product that an enzyme can produce per second. Highly efficient enzymes have kcat values upwards of 108 s-1. If a solution containing an enzyme with a kcat of 105 s-1 is able to produce 0.001 M of product per second, what is the concentration of the enzyme?

1 x 10-6 M

6 x 10-5 M

1 x 10-8 M

### D

6 x 10-3 M

Tags: Chemical Kinetics | Quantitative Skills |

122

### Q:

A tank launches a rocket at a 30 degree angle. It takes a total of 20 seconds for the rocket to reach the ground from being launched. The horizontal component of velocity of rocket (when launched) is 30 m/s. Approximately how far did the rocket travel horizontally when the rocket is at maximal height?

150 m

233 m

300 m

### D

375 m

Tags: Kinematics | Quantitative Skills |

123

### Q:

A cyclist accelerates at a constant rate from a resting state to 50 m/s. This acceleration takes place over a distance of 250 m. Which of the following is the acceleration experienced by the cyclist?

5 m/s2

10 m/s2

15 m/s2

### D

20 m/s2

Tags: Kinematics | Quantitative Skills |

124

### Q:

A block slides sits on an incline angled 30° to the horizontal. If the block masses 12 kg, what is the minimum coefficient of kinetic friction of the surface?

(√3)/2

1/√3

1/2

### D

√3

Tags: Forces | Quantitative Skills |

125

### Q:

A 5m massless string is set up with a mass of 5 kg on the end. The mass is swung like a pendulum and at its maximum amplitude reaches 90° to either side of its resting position. What is the maximum tension generated on the string during its swing?

50 N

100 N

150 N

### D

500 N

Tags: Periodic Motion | Quantitative Skills |

126

### Q:

The area under the curve of a velocity vs. time graph depicts the

### A

displacement of the object in motion.

### B

velocity of the object in motion.

### C

acceleration of the object in motion.

### D

impulse of the object in motion.

Tags: Kinematics | Quantitative Skills |

127

### Q:

A metal ion (X+) is found to undergo an electrolytic reaction to become X with an electric potential of 2.5 V. The molar mass of X is M. A current of I is applied for a time t. Given that F is Faraday's constant, which of the following expressions correctly shows the mass of X that will be formed through the current?

MFIt

MFIt / 2.5

MIt/F

### D

MIt/(2.5 * F)

Tags: Circuits | Quantitative Skills |

128

### Q:

A laptop draws 0.6 A of current over 1 hour. How much charge was delivered to the laptop?

0.6 A

36 A

2160 C

### D

3600 C

Tags: Energy & Work | Quantitative Skills |

129

### Q:

How long does it take for a ball to drop if it is released from a height of 15 m off the ground?

1.4 seconds

1.5 seconds

1.7 seconds

### D

3 seconds

Tags: Kinematics | Quantitative Skills |

130

### Q:

What is the mole fraction of oxygen in the compound Ni(CO)4?

0.2

0.37

0.44

### D

0.66

Tags: Periodic Table | Quantitative Skills |

131

### Q:

Magnesium and copper (I) sulfate are reacted to form magnesium sulfate and copper. If 48g of magnesium are present initially and 32g of copper are formed, what is the percent yield of copper if copper (I) sulfate had been present in excess?

5%

12.5%

45%

### D

62.5%

Tags: Stoichiometry | Quantitative Skills |

132

### Q:

Two ornaments are hanging from the ceiling, attached by springs with the same spring constant. Ball A masses 3kg and ball B masses 6kg. If ball A deforms the spring 5 cm from normal, how far down is ball B hanging from normal?

5 cm

8 cm

10 cm

### D

15 cm

Tags: Periodic Motion | Quantitative Skills |

133

### Q:

A car is decelerating at 5m/s2 from an initial velocity of 10m/s. What is the the total displacement when it comes to a stop?

2 m

5 m

10 m

### D

20 m

Tags: Kinematics | Quantitative Skills |

134

### Q:

Two cars, A and B, are moving toward one another but decelerating. During the deceleration, car A sounds its horn at a frequency of 400 Hz. Which of the following is most likely the frequency heard by car B?

325 Hz

375 Hz

400 Hz

### D

450 Hz

Tags: Sound | Quantitative Skills |

135

### Q:

A ball with an average density of 1.3 g/cm3 is submerged at the bottom of a tank of water. Which of the following is true about this system?

### A

The volume of water displaced is greater than the volume of the ball.

### B

There is no buoyant force on the ball since it is sunken at the bottom of the tank.

### C

The weight of the water displaced is less than the weight of the ball.

### D

None of the above is true.

Tags: Forces | Quantitative Skills |

136

### Q:

A person exerts a force of 10 N onto a box at an angle of 60° from the horizontal. The box is pushed a distance of 2 m over the course of 5 seconds. How much power was exerted?

2 W

3.4 W

7 W

### D

12.5 W

Tags: Energy & Work | Quantitative Skills |

137

### Q:

Two ornaments are hanging from the ceiling, attached by springs with the same spring constant. Ball A masses 3kg and ball B masses 6kg. What is the tension in the spring from ball A?

10 N

30 N

40 N

### D

The answer cannot be determined from the given information.

Tags: Energy & Work | Quantitative Skills |

138

### Q:

If a total of 2 x 1020 electrons flow at a constant rate through a wire over 5 seconds, what is the current in the wire? Note: 1 e- = 1.6 x 10-19 C.

1.5 A

6.4 A

32 A

### D

The answer cannot be determined from the given information.

Tags: Circuits | Quantitative Skills |

139

### Q:

A paratrooper of mass M is falling through the sky. He is moving at constant velocity due to air resistance. If the force of air resistance is X and is then suddenly decreased 3-fold, which of the following represents his acceleration?

X/3M

2X/3M

X/M

### D

3X/M

Tags: Kinematics | Quantitative Skills |

140

### Q:

What is the molarity of pure water?

0 M

18 M

55 M

### D

∞ M

Tags: Periodic Table | Quantitative Skills |

141

### Q:

At a rock concert, the band controls music using a knob with integers 1 through 10 on it. Each increasing integer doubles the sound intensity. When the knob points to 4, the sound is 45 decibels. Which of the following is closest to the decibel level if the knob is increased to 9?

52

60

80

### D

125

Tags: Sound | Quantitative Skills |

142

### Q:

What is the voltage between two points separated by a distance of 10 cm in an electric field with a magnitude of 100 N/C parallel to the direction of the displacement between the two points?

0 V

10 V

100 V

### D

1000 V

Tags: Electrostatics | Quantitative Skills |

143

### Q:

What is the percent by mass carbon in Tosyl azide (C7H7N3O2S)?

19%

27%

44%

### D

51%

Tags: Periodic Table | Quantitative Skills |

144

### Q:

A box of unknown mass slides 40 m down a frictionless slide. If the box began at a height of 10 m above ground, what is the acceleration of the box?

2.5 m/s2

4 m/s2

10 m/s2

### D

25 m/s2

Tags: Forces | Quantitative Skills |

145

### Q:

How much work is done during the launch of a 5 kg projectile if it accelerates from rest at 105 m/s2 to a speed of 900 m/s?

2250 J

4 x 105 J

8 x 105 J

### D

2 x 106 J

Tags: Energy & Work | Quantitative Skills |

146

### Q:

Osarizawaite is a mineral with the chemical formula PbCuAl2(SO4)2(OH)6. What is the percent mass of Aluminum in osarizawaite?

4.5%

9%

18%

### D

33%

Tags: Periodic Table | Quantitative Skills |

147

### Q:

A cylindrical cup is placed into water and floats with 3 cm submerged underwater and 7 cm above the surface of the water. If the mass of the cup is 500 g, how much water must be added to the cup for it to sink completely? Assume the mass of the cup is uninformly distributed along its vertical axis. (Note: the density of water is 1 g/mL)

500 mL

700 mL

1170 mL

### D

The answer cannot be determined with the given information.

Tags: Forces | Quantitative Skills |

148

### Q:

How much would a 15kg object weigh on the surface of a planet with twice the mass and three times the radius of the earth?

33 N

100 N

150 N

### D

330 N

Tags: Forces | Quantitative Skills |

149

### Q:

A large ball with a mass of 500 kg is being lowered on New Year's Eve. It unhinges at a height of 20 m from a motionless position and falls directly to the ground. The ball comes to a halt upon impact with the ground in 0.1 seconds. How much force is exerted on the ground by the ball?

2 x 103 N

104 N

105 N

### D

2 x 106 N

Tags: Forces | Quantitative Skills |

150

### Q:

How much energy needs to be added to 2 L of water to heat it from 20 °C to 100 °C? (Note: the specific heat capacity of water is 4.184 J/g*K)

669 J

6.4 x 105 J

6.69 x 105 J

### D

2.95 x 106 J

Tags: Energy & Work | Fluids | Quantitative Skills |

151

### Q:

The half-life of 164Gd is 45 seconds. How long would it take a sample of 5 x 108 nuclei to decay to 2 x 106 nuclei?

45 seconds

3 minutes

4.5 minutes

### D

6 minutes

Tags: Nuclear Chemistry | Quantitative Skills |

152

### Q:

A car accelerates steadily over 10 seconds from a stationary position to 25 m/s. The car maintains its velocity for 20 seconds, then decelerates steadily back to a stationary position in 5 seconds. What is its total displacement from start to finish?

350 m

437.5 m

687.5 m

### D

875 m

Tags: Kinematics | Quantitative Skills |

153

### Q:

A simple pendulum oscillates with a period T. It has a length of L a weight at the end of the pendulum with a mass of M. What mass would the weight need to be in order for the pendulum to oscillate with a period of T/2?

2M

M/2

M/4

### D

There is no mass that can be added to cause the pendulum to oscillate with a period of T/2

Tags: Periodic Motion | Quantitative Skills |

154

### Q:

A 5000kg object is being lifted on a fulcrum. If the object is sitting 1 meter from the pivot point, how long does the other end of the lever need to be to lift the object if only 100 N of force are applied?

50 m

100 m

500 m

### D

5000 m

Tags: Forces | Quantitative Skills |

155

### Q:

What is the specific heat capacity of an element which requires 80 J to heat 5 g of the element from 25 °C to 35 °C?

0.125 J/g°C

0.250 J/g°C

0.457 J/g°C

### D

1.60 J/g°C

Tags: Thermochemistry | Quantitative Skills |

156

### Q:

What is the minimum temperature for the decomposition of sodium bicarbonate to be spontaneous if ΔHrxn = 50 kJ/mol and ΔSrxn = 200 J/mol*K?

0.250 K

250 K

523 K

### D

The answer cannot be determined with the given information.

Tags: Thermochemistry | Quantitative Skills |

157

### Q:

For a population of birds in Hardy-Weingberg equilibrium, the red color is dominant while the purple color is recessive. For a sample of 1000 birds, if 640 are purple, what percentage of the birds are heterozygotes?

8%

32%

36%

### D

The answer cannot be determined with the given information.

Tags: Mendelian Concepts | Evolution | Quantitative Skills |

158

### Q:

A projectile is fired from a cannon with a velocity of 400 m/s at an angle of 30° to the horizontal. If the cannon is instead moving at a horizontal velocity of 10 m/s (in the same direction as the projectile) when the projectile launches, how much farther will the projectile travel? Neglect air resistance.

80 m

400 m

800 m

### D

28800 m

Tags: Kinematics | Quantitative Skills |

159

### Q:

In the dihybrid cross between AABb and AaBb, what fraction of the offspring will be homozygous dominant for A and homozygous recessive for B?

1/16

1/8

1/4

### D

1/2

Tags: Mendelian Concepts | Quantitative Skills |

160

### Q:

How much work in Joules is done when a balloon expands from a volume of 2 L to a volume of 5 L against a constant pressure of 12 atm? Note: assume 1 L·atm = 100 J.

-3600 J

400 J

3600 J

### D

6000 J

Tags: Energy & Work | Gases | Quantitative Skills |

161

### Q:

A 2kg block slides from rest down a frictionless slide at an angle of 60° to the horizontal. If it takes 2 seconds to slide to the bottom, how far has the block traveled down the slide?

5 m

8.7 m

17.3 m

### D

20 m

Tags: Kinematics | Quantitative Skills |

162

### Q:

A penny (1.7 g) is dropped off the roof of a 380m skyscraper. Nelgecting air resistance, how fast is the penny moving immediately before it hits the ground?

44 m/s

70 m/s

87 m/s

### D

The answer cannot be determined with the given information.

Tags: Kinematics | Quantitative Skills |

163

### Q:

A fulcrum with a lever is set up as in the diagram above. Ball A masses 150 kg and sits 80 cm from the pivot. Ball B masses 20 kg and sits 2 m from the pivot. If Ball C masses 5 kg, how far away from the pivot does it sit of the lever is in equilibrium?

1.6 m

8 m

16 m

### D

20 m

Tags: Forces | Equilibrium | Quantitative Skills |

164

### Q:

1 mg/kg is identical to which of the following?

1 mM

1 ppm

1 N

### D

1 mmol

Tags: Quantitative Skills |

165

### Q:

Which of the following contains the greatest moles of Cl- ions?

1 g NaCl

1 g CaCl2

1 g KCl

### D

1 g MgCl2

Tags: Periodic Table | Quantitative Skills |

166

### Q:

A boat displaces 3 L of water and has a total volume of 8 L. A piece of styrofoam with a volume of 1 L and a density of 0.15 g/mL is placed into the boat. What is the new volume of displacement by the boat? Note: the density of water is 1000 kg/m3.

3 L

3.15 L

4 L

### D

8 L

Tags: Quantitative Skills |

167

### Q:

A block sits atop an incline at 30° to the horizontal. If the block masses 5 kg and is not sliding down the incline due to friction, what is the minimum coefficient of friction that is present on the incline? Note: assume g = 10 m/s2.

1/√3

√3

1/2

### D

2

Tags: Forces | Quantitative Skills |

168

### Q:

A biconvex lens is used to magnify the image of an object. When the lens is held at a distance of 1 cm from the object, an image forms that is 5 cm from the lens. What is the focal length of the lens?

1/5 cm

5/6 cm

6/5 cm

### D

5 cm

Tags: Optics | Quantitative Skills |

169

### Q:

A cobalt (II) chloride can form multiple hydrates. Which of the following is the correct molecular formula for a cobalt (II) chloride hydrate with a molecular mass of 238 g/mol?

CoCl2 • H2O

CoCl2 • 2H2O

CoCl2 • 4H2O

### D

CoCl2 • 6H2O

Tags: Periodic Table | Quantitative Skills |

170

### Q:

What is the energy required to raise the temperature of 100 g of water from 50 °C to its boiling point and to completely vaporize it? (Assume the heat capacity of water is 4.2 J/g·K and the ΔHvaporization of water is 2260 kJ/kg)

21 kJ

247 kJ

2281 kJ

### D

21226 kJ

Tags: Fluids | Gases | Quantitative Skills |

171

### Q:

Which of the following expressions describes the work done by air resistance on a falling object between the time when it reaches its terminal velocity and the time when it impacts the ground?

mgh

### B

m(gh - (1/2)vterminal2)

√2gh

### D

(1/2)vterminal2

Tags: Forces | Energy & Work | Quantitative Skills |

172

### Q:

Water flows from a pipe with a diameter of 40 cm into a pipe with a diameter of 4 cm. How many times faster is the water moving through the narrower pipe than through the wider pipe?

√10 times faster

10 times faster

4 times faster

### D

100 times faster

Tags: Fluids | Quantitative Skills |

173

### Q:

What is the maximum mass that a car can tow along a surface if the coefficient of kinetic friction is 0.67 and the car is able to apply a towing force of 2000 N?

300 kg

3000 kg

1340 kg

### D

200 kg

Tags: Forces | Quantitative Skills |

174

### Q:

A stationary object is emitting a tone of 1000 Hz while a car approaches it. If the car is also emitting a tone of 1000 Hz, and an observer on the stationary object hears a beat frequency of 10 Hz, how fast is the car moving toward the object? Assume the speed of sound in air is 350 m/s.

0.35 m/s

1.15 m/s

3.5 m/s

### D

10 m/s

Tags: Sound | Quantitative Skills |

175

### Q:

A force F is placed on the block system below and accelerates it at 3 m/s2. How many times greater is the tension at Point II than at Point I?

1.2

1.4

2.2

### D

2.4

Tags: Forces | Quantitative Skills |

176

### Q:

What is the molarity of pure ethanol, assuming its density is 0.8 g/mL?

8 M

13.9 M

17.4 M

### D

21.8 M

Tags: Solutions | Quantitative Skills |

177

### Q:

A photon strikes an atom with 12.8 eV of energy. As a result, the atom emits another photon and has an electron excited to an energy level that is 11.4 eV higher. With what energy is the atom's photon emitted?

1.4 eV

11.4 eV

12.8 eV

### D

14.2 eV

Tags: Atomic & Electronic Structure | Quantitative Skills |

178

### Q:

Under normal conditions, for an acid whose Ka is 5 x 10-8, what is the value of its Kb?

2 x 10-5

2 x 10-6

2 x 10-7

### D

2 x 10-8

Tags: Acid/Base Equilibria | Quantitative Skills |

179

### Q:

A frog is launched into the air from a nearby rocket blast. As it sails through the air, it reaches its terminal velocity and thankfully lands in a pool of water which decelerates it uniformly over 0.2 seconds. If the frog's terminal velocity is 3 m/s and it has a mass of 100 grams, how much force is exerted on the frog's body during its landing in the water?

1.5 N

0.6 N

0.67 N

### D

The answer cannot be determined with the given information.

Tags: Forces | Quantitative Skills |

180

### Q:

Ultrasonic distance detectors emit an ultrasonic frequency that bounces off of the opposing object and is picked up by the detector. The longer it takes for the sound to come back, the farther away it is. If the time between the sound emission and detection is 30 milliseconds, how far away is the object being measured? Note: assume the speed of sound is 350 m/s.

5 m

10 m

50 m

### D

100 m

Tags: Kinematics | Sound | Quantitative Skills |

181

### Q:

For a reaction whose rate law is Rate = k[A][B]2, the rate of the reaction is 0.250 M/s when the concentration of B is 0.1 M. What is the rate of the reaction if the concentration of B is 0.2 M, all else being equal?

0.250 M/s

0.500 M/s

1.000 M/s

### D

The answer cannot be determined with the given information.

Tags: Chemical Kinetics | Quantitative Skills |

182

### Q:

A door knob requires 0.2 Nm to turn. If a child is only able to apply a 2kg mass onto the handle, what is the minimum distance from the center of the knob that the child must hold it in order to turn?

10 cm

100 cm

1 cm

### D

0.1 cm

Tags: Forces | Quantitative Skills |

183

### Q:

The next MCAT eCourse starts tomorrow! Come see how we can help improve your score.

A mass oscillating in simple harmonic motion on a spring achieves a maximum velocity of 2 m/s with a total system energy of 320 J. If the spring constant is k = 10 N/m, what is the period of the spring? Note: the period of a spring is given by the equation T = 2π√(m/k)

8 s

25 s

4 s

### D

32 s

Tags: Periodic Motion | Quantitative Skills |

184

### Q:

A car decelerates from 30 m/s to 10 m/s in 5 seconds. How far did it travel during its deceleration?

20 m

100 m

40 m

### D

400 m

Tags: Kinematics | Quantitative Skills |

185

### Q:

A series of experiments is conducted to measure how the maximum height an object will reach changes when its vertical launch velocity is changed. Which of the following graphs best depicts the relationship between the initial vertical velocity of the launched objects and their maximum height reached?

### D

Tags: Kinematics | Quantitative Skills |

186

### Q:

A 5 x 10-2 M solution of unknown identity at standard state at 298K is placed on one side of a semi-permeable membrane with pure water on the other side. Given that 3.6 atm of pressure is required to prevent the net flow of water across the membrane, what is the most likely identity of the unknown solution at standard state conditions? Osmotic Pressure ∏ = iMRT; where T is temperature, R = 0.08 L atm/mol·K, M is molarity, and i is the van't Hoff factor.

Ca(NO3)2

NaCl

ZnSO4

### D

AlCl3

Tags: Stoichiometry | Quantitative Skills |

187

### Q:

The gravitational force between the Earth and Neptune is 4.54 x 106 N. If Jupiter is 3 times closer to the Earth and 4 times more massive than Neptune, what is the gravitational force between the Earth and Jupiter?

### A

(9/4) · 4.54 x 106 N

### B

(4/9) · 4.54 x 106 N

### C

12 · 4.54 x 106 N

### D

36 · 4.54 x 106 N

Tags: Forces | Quantitative Skills |

188

### Q:

A student adds 232 grams of NaCl to 2 L of pure water. If the student tries to freeze the mixture, at what temperature will it freeze? (Assume the kf of water is 1.86 °C m-1)

-8 °C

-4 °C

4 °C

### D

8 °C

Tags: Solutions | Quantitative Skills |

189

### Q:

A person is playing a piano, with a frequency of 200 Hz, directly next to another person playing the drums with a frequency of 175 Hz. What is the beat frequency of the two?

15 Hz

25 Hz

50 Hz

### D

75 Hz

Tags: Sound | Quantitative Skills |

190

### Q:

A laboratory shines a single beam of light into a fluid at an angle of 30°. Assuming the refractive index of air is 1, and the beam of light refracts at an angle of 60°, what is the refractive index of the unknown fluid?

√3

1/√3

1/2

### D

2√3

Tags: Optics | Quantitative Skills |

191

### Q:

Zn + HCl → ZnCl2 + H2

Consider the above unbalanced reaction. How many mL of a 4 M solution of HCl would be required to produce 22.4 L of H2 gas at STP?

125 mL

250 mL

500 mL

### D

750 mL

Tags: Gases | Stoichiometry | Quantitative Skills |

192

### Q:

A solid dodecahedron has a weight of 100 N with a cross-sectional length of 50 cm from each pair of the closest opposite vertices. It is immersed in water and its weight is now 80 N. What is the density of the dodecahedron? Assume ρwater = 1.00 g/mL and g = 10 m/s2.

0.2 g/mL

2 g/mL

5 g/mL

### D

50 g/mL

Tags: Forces | Quantitative Skills |

193

### Q:

Compound A has a half-life of 4 hours while compound B has a half-life of 3 hours. At t = 0 hours, there are equal molar amounts of each compound. After 24 hours, what is the ratio of Compound A to Compound B?

1/256 : 1/64

1/256 : 64

256 : 64

### D

64 : 256

Tags: Quantitative Skills |

194

### Q:

How many times more intense (W/m2) is 60 decibels than 40 decibels?

1.5

20

100

### D

1020

Tags: Sound | Quantitative Skills |

195

### Q:

How long does it take a car decelerating at 5 m/s2 from an initial velocity of 10 m/s to stop moving?

1 sec

1.4 sec

2 sec

### D

2.7 sec

Tags: Kinematics | Quantitative Skills |

196

### Q:

A variable resistor is able to have its resistance altered without needing to be disconnected from a circuit. If a constant 5 amps of current are run through a circuit while the resistance is increased, what will happen to the voltage of the circuit?

### A

The voltage will decrease.

### B

The voltage will not change.

### C

The voltage will increase.

### D

The answer cannot be determined with the given information.

Tags: Circuits | Quantitative Skills |

197

### Q:

A hand held shopping basket 0.62 m long has a 1.81 kg cartoon of milk at the left end and a 0.72 kg box of cereal at the right end. Where should a 1.80 kg container of orange juice be placed so that the basket balances at its center?

### A

0.18 m from the center and on the same side as the milk cartoon

### B

0.18 m from the center and on the same side as the cereal box

### C

0.26 m from the center and on the same side as the milk carton

### D

0.26 m from the center and on the same side as the cereal box

Tags: Forces | Quantitative Skills |

198

### Q:

An engineer is attempting to lift a 5000-kg object using a lever and fulcrum as a pivot. The object sits at a distance of 5 m from the pivot. If he can only apply 250 N of force onto the lever, at what distance must he apply force to the lever to be able to lift the object?

40 m

400 m

1000 m

### D

5000 m

Tags: Forces | Quantitative Skills |

199

### Q:

A sample of water is heated by 50 degrees using 10,000 J. What is the mass of the water sample? Assume the specific heat of water is 4 J/(g*K).

10 g

40 g

50 g

### D

100 g

Tags: Fluids | Quantitative Skills |

200

### Q:

On a cold and frosty night, a jet plane is speeding towards you (stationary) at 162.5 m/sec and sounds its horn at 150 Hz. The outside temperature is -10 degrees Celsius. At what approximate frequency do you hear the horn? The speed of sound at -10 degrees Celsius is 325 m/sec.

75 Hz

225 Hz

1500 Hz

### D

300 Hz

Tags: Sound | Quantitative Skills |

201

### Q:

A ball is kicked at an angle of 45° to the horizontal. What is its maximum height reached if its velocity when it lands is 25 m/s? Neglect air resistance.

16 m

25/√2 m

31 m

### D

The answer cannot be determined with the given information

Tags: Kinematics | Quantitative Skills |

202

### Q:

A standard deviation is calculated for a random sampling of 2000 HIV patients. If the sample pool had been 3000 patients, which of the following would be true?

### A

The new standard deviation would be 1.5 times greater than the original standard deviation.

### B

The new standard deviation would be 2/3 of the original standard deviation.

### C

The new standard deviation would be less than the original standard deviation but it cannot be determined how much less.

### D

We cannot determine which standard deviation will be larger or smaller.

Tags: Quantitative Skills |

203

### Q:

How much force is applied on a 5g bullet if it is accelerated from rest to 800 m/s in the space of 0.001 seconds?

4 N

160 N

1280 N

### D

4000 N

Tags: Forces | Quantitative Skills |

204

### Q:

How much work is done by air resistance for a 10kg object moving at its terminal velocity from a height of 1000 m to 0 m?

0 J

√1000 J

105 J

### D

The answer cannot be determined from the given information.

Tags: Energy & Work | Quantitative Skills |

205

### Q:

A boat with a mass of 2 kg and a volume of 32 L floats atop water. 4 L of mercury are poured into the boat, which drops to a level where the water reaches the brim of the boat. Which of the following is closest to the density of the mercury? Assume water has a density of 1 g/cm3.

1.9 g/cm3

4 g/cm3

7.5 g/cm3

### D

The answer cannot be determined from the given information.

Tags: Quantitative Skills |

206

### Q:

An object with a mass of 8 grams is placed into an ethanol solution and appears to lose 3 grams of its mass. What is the approximate density of the object? Note: the density of ethanol is 0.8 g/mL.

1.7 g/mL

2.1 g/mL

3.8 g/mL

### D

8 g/mL

Tags: Forces | Quantitative Skills |

207

### Q:

A student is performing bomb calorimetry for a combustion reaction. The bomb calorimeter normally holds 5 L of water with a heat capacity of 4.185 J/g•°C. However, the student misread the directions and used 6 L of ethanol which has a heat capacity of 2.423 J/g•°C. If the student calculates the energy released by the reaction assuming it was 5 L of water, what will be the difference between the actual energy of the reaction and the calculated energy? Note: the density of ethanol and water under normal conditions is 0.8 g/mL and 1.0 g/mL, respectively.

### A

The calculated energy will be higher than the actual energy because the total heat capacity of the calorimeter with ethanol is greater than with water.

### B

The calculated energy will be higher than the actual energy because the total heat capacity of the calorimeter with ethanol is less than with water.

### C

The calculated energy will be lower than the actual energy because the total heat capacity of the calorimeter with ethanol is greater than with water.

### D

The calculated energy will be lower than the actual energy because the total heat capacity of the calorimeter with ethanol is less than with water.

Tags: Thermochemistry | Quantitative Skills |

208

### Q:

Iron (relative atomic mass = 56) and sulfur (relative atomic mass = 32) can react in multiple ways to make various forms of iron (II) sulfur. Among the possible reactions is:

8Fe + S8 → 8FeS

Suppose 7 g of iron reacted with 4 g of sulfur in the reaction above. Which of the following statements would be true?

### A

Fe is the limiting reagent

### B

S8 is the limiting reagent

### C

FeS is the limiting reagent

### D

There is no limiting reagent

Tags: Stoichiometry | Quantitative Skills |

209

### Q:

If the number of moles of gas in a closed chamber are doubled, by what proportion would the volume need to change to keep the pressure constant? Assume temperature is held constant.

### A

Decrease by a factor of 4

### B

Decrease by a factor of 2

### C

Increase by a factor of 2

### D

Increase by a factor of 4

Tags: Gases | Quantitative Skills |

210

### Q:

What is the ΔH°rxn for the reaction

CH4(g) + 4 Cl2(g) → CCl4(g) + 4HCl(g)

Given the following data:
 ΔH°f (kJ/mol) CH4 -75 CCl4 -96 HCl -92

-113 kJ

-464 kJ

-389 kJ

### D

The answer cannot be determined with the given information.

Tags: Thermochemistry | Quantitative Skills |

211

### Q:

The Arrhenius equation, shown below, is a description of the relationship between the rate constant, k, the activation energy of the reaction, and the temperature in Kelvin.

Here, A and R are constants. For ratios of EA/RT that are greater than 1, if the constant R were half of its actual value, what would happen to the rate constant k?

### A

It would increase by less than double.

### B

It would increase by more than double.

### C

It would decrease to less than half of its current value.

### D

It would decrease to more than half of its current value.

Tags: Thermochemistry | Chemical Kinetics | Quantitative Skills |

212

### Q:

A particular nitrogen oxide is comprised of 64% N by mass. Which of the following is a possible empirical formula for the oxide?

NO

N2O

N2O3

### D

NO2

Tags: Periodic Table | Quantitative Skills |

213

### Q:

In the reaction below, hydrogen peroxide acts as the limiting reagent. If 680 grams of hydrogen peroxide are reacted, how many grams of water are produced?

IO3- + 2H2O2 + CH2(COOH)2 + H+ → ICH(COOH)2 + 2O2 + 3H2O

360 g

450 g

540 g

### D

1020 g

Tags: Stoichiometry | Quantitative Skills |

214

### Q:

The oxygen-evolving reaction Ca(OCl)2 (s) → CaCl2 (s) + O2 (g) is initiated with 71 g of Ca(OCl)2 in a 5.5 L sealed chamber with an unknown amount of inert gas. If the resulting oxygen evolved increases the pressure of the chamber by 20%, how many moles of gas were in the chamber initially? Assume all gases are ideal and the temperature of the reaction remains constant.

0.5 moles

2.5 moles

3 moles

### D

11.2 moles

Tags: Stoichiometry | Quantitative Skills |

215

### Q:

A mass hung over a single pulley is attached to a spring. As the mass is released from d0, it falls to its maximum amplitude of d. Which of the following diagrams accurately depicts the force the spring applies on the mass with respect to the displacement of the mass?

### D

Tags: Forces | Quantitative Skills |

216

### Q:

According to Weber's Law, if the intensity of a stimulus changes from 2 units to 2/3 units and then to 2/9 units, one can expect the intensity of the sensation to change from:

### A

1 unit to .75 units to .5 units

### B

1 unit to 5 units to 13 units

### C

1 unit to 4 units to 3 units

### D

1 unit to .25 units to .1 units

Tags: Sensory Processing | Quantitative Skills |

217

### Q:

In a sample of 1000 individuals from a population in Hardy-Weinberg equilibrium, 600 are found to have at least one copy of a defective recessive gene. How many individuals have two copies of the defective gene?

130

360

400

### D

The answer cannot be determined with the given information.

Tags: Mitosis and Meiosis | Evolution | Quantitative Skills |

218

### Q:

Two objects start from rest at the same position and accelerate in the same direction. Object A accelerates at 2 m/s2 while Object B accelerates at 4 m/s2. At the end of 5 seconds, how much farther has Object B traveled than Object A?

15 m

25 m

50 m

### D

75 m

Tags: Kinematics | Quantitative Skills |

219

### Q:

A 2kg projectile is shot at 60° to the horizontal with a velocity of 16 m/s. At the peak of its arc, what is its total kinetic energy? Neglect air resistance.

8 J

8√3 J

64 J

### D

16√3 J

Tags: Kinematics | Energy & Work | Quantitative Skills |

220

### Q:

For an X-linked trait, a man carries the defective gene and is afflicted with the disorder. What are the chances that his son will be afflicted if his son's mother is not a carrier of the trait?

0

1/4

1/2

### D

3/4

Tags: Mendelian Concepts | Quantitative Skills |

221

### Q:

Using only three resistors with resistances of 1 Ω, 2 Ω, and 3 Ω, what is the maximum resistance that can be created in a circuit?

1.5 Ω

8/6 Ω

6 Ω

### D

9 Ω

Tags: Circuits | Quantitative Skills |

222

### Q:

The Stefan-Boltzmann law states that the power emitted per unit surface area of a black body can be written as j = kT4 where k is a constant and T is the absolute temperature in K. If a black body has its temperature increased from 25 °C to 330 °C, how much more power does it emit per unit surface area?

16 times more

305 times more

13 times more

### D

134 times more

Tags: Energy & Work | Quantitative Skills |

223

### Q:

In the reaction below, if 3 moles of HCl react completely with with excess NaHCO3, how much gas is evolved at STP?

HCl (aq) + NaHCO3 (aq) → NaCl (aq) + H2O (l) + CO2 (g)

67.2 L

7.5 L

22.4 L

### D

11.2 L

Tags: Gases | Stoichiometry | Quantitative Skills |

224

### Q:

A horizontal rocket is attached to a stationary car and begins to propel it forward. The rocket applies 10,000 N of force for 100 m of its total journey. Assuming no other propulsion is used for the car and its wheels are frictionless, how much work does the air do on the car over the course of its total journey?

0 J

10 J

106 J

### D

The answer cannot be determined with the given information.

Tags: Energy & Work | Quantitative Skills |

225

### Q:

The half-life for the degradation of a new drug in the blood is found to be 8 hours. A patient is administered a dose of 4 ng/dl and has a detection limit of 0.05 ng/dl. Approximately how long will it take for the drug to be undetectable in the blood?

8 hours

50 hours

80 hours

### D

160 hours

Tags: Quantitative Skills |

226

### Q:

The Large Hadron Collider is a particle accelerator which allows for experimentation with subatomic particles. Its circumference is 27 km. Suppose a string is wrapped around the full circumference of the collider. If the string is to be an additional 1 meter out from the circumference of the collider at all points as a slightly larger concentric circle, approximately how much additional string would need to be added?

6m

28m

0.5km

### D

1.6km

Tags: Quantitative Skills |

227

### Q:

A liquid with a density of 2.5 g/mL is poured over a ball to a height of 50 cm above the ball. A second liquid with a density of 1.5 g/mL, immiscible with the first liquid, is poured over the liquid to an additional height of 50 cm. What is the total pressure on the ball at the bottom?

12500 N/m2

32500 N/m2

20000 N/m2

### D

27500 N/m2

Tags: Fluids | Quantitative Skills |

228

### Q:

For a recessive phenotype of an autosomal gene which is lethal in utero, what proportion of viable offspring will be carriers of the gene if both parents are carriers?

1/3

3/4

1/2

### D

2/3

Tags: Mendelian Concepts | Quantitative Skills |

229

### Q:

How much greater is the beat frequency for a pair of tones at 12000 Hz and 12001 Hz versus a pair of tones at 4000 Hz and 4001 Hz?

### A

The beat frequency is 3 times greater.

### B

The beat frequency is 33% greater.

### C

The beat frequency is 2 times greater.

### D

The beat frequencies are the same for the two pairs of tones.

Tags: Sound | Quantitative Skills |

230

### Q:

Which of the following, if true, casts doubt on the assertion that tryptophan in turkey meat is responsible for induction of drowsiness after consumption?

### A

Other commonly-consumed meats like chicken and pork have higher concentrations of tryptophan than turkey.

### B

Large meals containing high amounts of turkey meat but lacking high amounts of carbohydrates do not induce drowsiness.

### C

Large meals containing high amounts of carbohydrates but lacking turkey meat induce drowsiness.

### D

Consumption of pure tryptophan causes drowsiness.

Tags: Protein Structure and Function | Quantitative Skills |

231

### Q:

An electric heater draws 12 A of current from a 120 V outlet for 90 minutes. If the cost of electricity is 15 cents per kW-hour, how much did it cost to run the heater for the 90 minutes?

13.5 cents

20.3 cents

21.6 cents

### D

32.4 cents

Tags: Energy & Work | Quantitative Skills |

232

### Q:

A 0.5kg projectile is launched 30° to the horizontal at 40 m/s. What is its total kinetic energy at the highest point of its path? Assume air resistance is negligible.

8.7 J

35 J

300 J

### D

1200 J

Tags: Kinematics | Energy & Work | Quantitative Skills |

233

### Q:

Kiliani-Fischer synthesis is a method converting a monosaccharide into a monosaccharide with one more carbon atom. Because the mechanism is not stereospecific, two epimers are produced from each monosaccharide. If a sample of D-glyceraldehyde, a triose, were used and a series of Kiliani-Fischer syntheses were applied, what proportion of all hexoses would be glucose?

13%

50%

67%

### D

100%

Tags: Carbohydrates | Quantitative Skills |

234

### Q:

How many grams of S are in 1.4 moles of Al2(SO4)3?

32.0 g

44.8 g

96.0 g

### D

134.4 g

Tags: Periodic Table | Quantitative Skills |

235

### Q:

A 20kg child sits on a swing with ropes 2 m long. The maximum speed during each swing is 4 m/s with an arc of 135°. What is the maximum tension in the swing?

160 N

200 N

360 N

### D

240 N

Tags: Forces | Quantitative Skills |

236

### Q:

A storm drain has a maximum capacity of 120 L/min. During heavy rains, an influx of 240 L/min approaches the drain. Assuming the the drain is cylindrical, by how much would the drain radius need to be increased to handle the heavier rainfall? Assume the water travels at the same linear speed in both drains.

16 times greater

42 times greater

2 times greater

### D

1.4 times greater

Tags: Kinematics | Quantitative Skills |

237

### Q:

A 70kg person is walking on slippery ice. As the person takes a step, their leg extends 30° from normal, and their entire weight shifts onto the leg. What is the minimum coefficient of friction required for the ice to not let the person slip?

0.23

0.50

0.57

### D

0.87

Tags: Forces | Quantitative Skills |

238

### Q:

What volume do the products of the reaction 4NH3 (g) + 5O2 (g) → 4NO (g) + 6H2O (g) occupy at STP if 4 moles of NH3 and 5 moles of O2 are present in the reaction? Assume the reaction goes to completion.

10 L

112 L

224 L

### D

448 L

Tags: Gases | Quantitative Skills |

239

### Q:

Heavy smokers can have up to a 50% increase in the half-life of caffeine metabolism from 6 hours for an average non-smoker to 9 hours for an average heavy smoker. How much longer would it take an average heavy smoker to metabolize 75% of a caffeine dose compared to the same dose in an average non-smoker?

3 hours

6 hours

9 hours

### D

12 hours

Tags: Quantitative Skills |

240

### Q:

A study finds that children who are exposed to multiple CT scans are 3 times more likely to develop brain cancer or leukemia. Based on this finding alone, is the conclusion that CT scans cause brain cancer valid?

### A

Yes, because correlation necessitates causation.

### B

Yes, because a 3-fold increase in the risk is statistically significant.

### C

No, because the children may be receiving multiple CT scans for conditions that are responsible for the increase in the likelihood of cancer.

### D

No, because a 3-fold increase in the risk may not be statistically significant.

Tags: Quantitative Skills |

241

### Q:

An unknown acid is found to dissociate in a 1:108 ratio (dissociates almost entirely) when dissolved in water. Its Ka can be approximated to be:

near 0.

### B

much less than 1.

### C

approximately equal to 1.

### D

much greater than 1.

Tags: Acid/Base Equilibria | Quantitative Skills |

242

### Q:

A researcher has correlated data from a study. The results indicate that Variable X and Variable Y are strongly correlated. Which correlation coefficient would indicate the strongest relationship between these variables?

+0.26

+0.35

-0.26

### D

-0.94

Tags: Quantitative Skills |

243

### Q:

In a study, subjects were asked to rate how funny cartoons appeared. One group of subjects held a pen crosswise in their lips while making the rating, whereas the other group of subjects held a pen crosswise in their teeth. The subjects holding the pen in their teeth rated the cartoons funnier than the subjects holding the pen in their lips. The independent variable in this study was:

cartoon rating

### B

pen position in mouth

### C

cartoon rating and pen position

### D

observer bias

Tags: Quantitative Skills | Miscellaneous Psychology |

244

### Q:

Jars can be difficult to open due to the limited torque for the radius available on the lid. For a jar with a lid whose diameter is 10 cm, a lever is attached to the lid whose length extends to 20 cm from the lid's center. How many times more torque can be applied using the lever rather than simply turning the lid directly?

### A

The torque will remain constant

### B

The torque will double

### D

The torque will increase 16-fold

Tags: Forces | Quantitative Skills |

245

### Q:

A person is pushing a box against a wall in order to keep it from sliding down. The force applied is directly perpendicular to the wall, which is perfectly vertical. If the coefficient of static friction is 0.65, how much force must be applied on the box to prevent it from sliding?

mg/0.65

0.65/mg

(0.65)mg

### D

0.652/mg

Tags: Forces | Quantitative Skills |

246

### Q:

An X-linked recessive gene produces red-green color blindness in humans. A woman with normal color vision whose father was color-blind has children with a color-blind man. What is the probability that their daughter will be color-blind?

1/4

1/2

3/4

### D

1

Tags: Mendelian Concepts | Quantitative Skills |

247

### Q:

A student is experimenting with a spring and wants to launch an object attached to the spring at 10 m/s. The spring is compressed and the object, with a mass of 1 kg, is placed at the end of the spring for launch. If the spring constant is 2500 N/m, how much does the spring need to be compressed to launch the object at the desired velocity?

0.2 cm

5 cm

20 cm

### D

25 cm

Tags: Energy & Work | Quantitative Skills |

248

### Q:

To test whether a gold crown is made of pure gold (ρ = 19 g/cm3) or a gold-silver alloy with a density of 15 g/cm3, the crown is dipped into water and the displaced volume is measured. What would the difference in displaced volumes be between the pure-gold crown and the gold-silver alloy crown if it masses 380 g?

4 mL

5 mL

20 mL

### D

25 mL

Tags: Quantitative Skills |

249

### Q:

A cart with mass m is accelerated to a velocity v and collided with a spring as in the diagram above. Which of the following depicts the relationship between the maximum displacement of the spring upon collision and the velocity of the cart?

### D

Tags: Kinematics | Forces | Quantitative Skills |

250

### Q:

A krypton fluoride laser can emit light in brief pulses of only 4 nanoseconds. Given the velocity of light in a vacuum is 3 x 108 m/s, how long is each pulse of light if emitted underwater? Note the index of refraction of water is 1.33.

90 cm

1.2 m

1.6 m

### D

2.1 m

Tags: Kinematics | Fluids | Quantitative Skills |

251

### Q:

How much force is applied onto a 50kg object to uniformly accelerate it from 5 m/s to 25 m/s in 8 seconds?

31 N

125 N

156 N

### D

250 N

Tags: Forces | Quantitative Skills |

252

### Q:

Researchers conduct a longitudinal randomized clinical trial to determine whether an intervention on psychologically distressed participants improves mental health. Mental health is measured continuously on a scale from 1-50, where 50 is outstanding. Which of the following central tendency measures would be used to calculate standard deviations for scores as a function of gender?

Mean

Median

Mode

### D

Percentile

Tags: Quantitative Skills |

253

### Q:

A quasi-experimental study reveals that social support may mediate the relationship between domestic violence and employment. Based on this finding, a follow-up study is conducted in which social support is manipulated. Which of the following manipulations would have the greatest number of ethical issues associated with it?

### A

Increasing social support for all study participants and measuring levels of perceived support.

### B

Measuring employment as number of hours worked and not as wages earned.

### D

Dividing participants into experimental and control groups in a cross-sectional study.

Tags: Social Thinking & Interactions | Quantitative Skills |

254

### Q:

Huntington's disease is an autosomal dominant disorder. If the frequency of the dominant allele for Huntington's disease is 0.6 in a particular isolated population, what proportion of the population is free of the disease?

36%

48%

40%

### D

16%

Tags: Evolution | Quantitative Skills |

255

### Q:

Results of an aggression study indicate a strong positive correlation between frequent viewing of violent media and aggressive acts. Which of the following would increase a follow-up study's potential to determine causality?

### A

Stratifying the sample by ethnicity

### B

Controlling for known associations

### C

Dividing participants into groups based on their personalities

### D

Determining temporality

Tags: Quantitative Skills |

256

### Q:

Using the information in the table below, calculate the enthalpy change for the reaction:

CS2 + 3 O2 → CO2 + 2 SO2
 Reaction Heat of Formation (kJ/mol) C + O2 → CO2 -400 S + O2 → SO2 -250 C + 2 S → CS2 90

-560 kJ/mol

-810 kJ/mol

-740 kJ/mol

### D

-990 kJ/mol

Tags: Thermochemistry | Quantitative Skills |

257

### Q:

A golf ball is placed into a pool of liquid metal, and floats on the surface. In order to completely submerge the ball, a force of F must be applied onto the ball. Which of the following expressions correctly describes the density of the golf ball relative to the liquid metal?

### A

mballg/(mballg + F)

mballg/F

mballg/(mballgF)

### D

mliquidg/(mballg + F)

Tags: Forces | Quantitative Skills |

258

### Q:

A 10 kg block is accelerated at 2 m/s2 up a frictionless plane inclined at 30 degrees to the horizontal. The force acting parallel to the plane pushing the block upwards is:

100 N

25 N

50 N

### D

70 N

Tags: Kinematics | Forces | Quantitative Skills |

259

### Q:

Simple mercury barometers were historically particularly useful because the high density of mercury allows a barometer to be only approximately 1 m tall to measure normal fluctuations in atmospheric pressure, which determined the height of the mercury. If a barometer reads a height of 1000 mmHg, what height would be read on a barometer using water instead? The density of mercury is 13.5 g/mL and that of water is 1 g/mL.

74 mm

74 cm

135 cm

### D

13.5 m

Tags: Fluids | Quantitative Skills |

260

### Q:

Given the potentials of the following half-reactions, how would the net reaction proceed if set up to run as a spontaneous reaction?

 Al3+ + 3e- → Al E° = -1.66 V Fe3+ + 3e- → Fe E° = -0.04 V

### A

Al3+ + Fe3+ → Al + Fe

### B

Al3+ + Fe → Al + Fe3+

### C

Al + Fe3+ → Fe + Al3+

### D

Al + Fe → Al3+ + Fe3+

Tags: Thermochemistry | Quantitative Skills |

261

### Q:

What is the maximum capacitance that can be created on a circuit with 3 capacitors with capacitance of 1 μF, 2 μF, and 4 μF?

0.57 μF

4 μF

7 μF

### D

8 μF

Tags: Circuits | Quantitative Skills |

262

### Q:

Two individuals are both carriers of an autosomal recessive gene that is fatal in utero. What fraction of their children will be carriers of the gene?

1/3

1/4

2/3

### D

3/4

Tags: Mendelian Concepts | Quantitative Skills |

263

### Q:

What beat frequency would be heard between two tones played simultaneously at 20 Hz and 25 Hz?

5 Hz

45 Hz

0.20 Hz

### D

0.25 Hz

Tags: Sound | Quantitative Skills |

264

### Q:

Researchers designed an experiment to test the effects of chewing gum on student performance in exams. One group of students was given a piece of gum and was told they could discard the gum once they were finished with it. The other group was given an unlimited supply of gum for the duration of the exam. Which of the following would be best suited as a control for the experiment?

### A

giving one group of students a different brand of gum

### B

giving one group of students no gum

### C

telling the students that the amount of gum they chewed would have no impact on their score

### D

not allowing proctors to know which students had access to the unlimited gum and which students were only allowed one piece

Tags: Quantitative Skills |

265

### Q:

A population of 500 birds is in Hardy-Weinberg equilibrium. Straight feathers are completely dominant over curly feathers. If 25% of the individuals have curly feathers, how many individuals are heterozygotes?

125

250

375

### D

450

Tags: Evolution | Quantitative Skills |

266

### Q:

A lens forms an image at 2 cm when focusing an image that is 15 cm away. What is the focal length of the lens?

17/30 cm

30/17 cm

1/17 cm

### D

17 cm

Tags: Optics | Quantitative Skills |

267

### Q:

An object in space masses 10,000 kg and accelerates from a velocity of 1500 m/s to 3500 m/s over the course of 50 seconds. How much work was done to accelerate the object?

4 x 105 J

5 x 1010 J

1.25 x 105 J

### D

2 x 109 J

Tags: Kinematics | Energy & Work | Quantitative Skills |

268

### Q:

National data on hospital administrator income groups income into three distinct categories. If researchers wish to obtain the most frequently occurring scores in each of the three groups, and the middle income for the entire sample, which measures of central tendency, respectively, should they examine?

Mean, mode

Mode, median

### C

Mean, standard deviation

### D

Median, mean

Tags: Quantitative Skills |

269

### Q:

A toy car of mass 1 kg is pressed against a spring with k=100 N/m. The spring is compressed 20cm. At what velocity would the toy car be released from the spring?

4 m/s

√5 m/s

2 m/s

### D

√10 m/s

Tags: Energy & Work | Quantitative Skills |

270

### Q:

The half-life of a radioactive element, called MCATium, is X seconds. A different element has half-life which is double that of MCATium. How long will it take for this element to undergo 6 half-lives?

6X

12X

18X

### D

36X

Tags: Quantitative Skills |

271

### Q:

A woman carries an X-linked dominant gene on one of her X-chromosomes called DISe1 which gives her a particular phenotype. If she, theoretically, were to have 100 children, how many would be expected to have a matching phenotype?

100 children

### B

50 boys, 25 girls

### C

25 boys, 25 girls

### D

25 boys, 0 girls

Tags: Mendelian Concepts | Quantitative Skills |

272

### Q:

Researchers conduct a study of depression in 100 teens. On the instrument used to measure depression, scores may range from 0-20, with higher scores indicating greater symptomatology. A score of 5 is recommended as the diagnostic cutoff. This distribution has a mean of 5, a standard deviation of 2, and a median of 4. Which of the following is NOT true for the sample?

### A

More than a third of participants are mildly-to-moderately depressed.

### B

More than half of the participants are depression-free.

### C

Over half of the participants meet the diagnostic cutoff for depression.

### D

Multiple participants are severely depressed.

Tags: Quantitative Skills |

273

### Q:

A massless tether is tied to a block and held vertically over the block. If the block masses, 5kg, how much force is required to accelerate the block upward at 2 m/s2? Assume g = 10 m/s2.

10 N

50 N

60 N

### D

20 N

Tags: Forces | Quantitative Skills |

274

### Q:

A woman is afflicted with a genetic disease that is X-linked and dominant. If only half her daughters are also afflicted with the disease, what percentage of her sons would be afflicted?

100%

50%

0%

### D

67%

Tags: Mendelian Concepts | Quantitative Skills |

275

### Q:

An observer hears a sound from a distance of d and moves to a distance of 2d from the source. At the distance of 2d, how does the amount of energy per unit area from the sound change as compared with the amount of energy from the sound at d?

2x

x/2

x/4

### D

x/8

Tags: Sound | Quantitative Skills |

276

### Q:

The ideal gas law states PV=nRT, where P is pressure, V volume, n moles, T temperature, and R the ideal gas constant. Which of the following are the correct units for R, the ideal gas constant?

L·atm·mol-1·K-1

L·atm

atm·mol·K

### D

atm·mol-1·K-1

Tags: Gases | Quantitative Skills |

277

### Q:

A continuous wave (of sinusoidal pattern) is emitted from a source and a receiver stands 1000 meters away from the source. The receiver is able to measure the amplitude of the signal. Data from the receiver shows that the time between each maximum amplitude is 4 seconds. When the wave is graphically depicted, it is found that the distance between the adjacent highest and lowest amplitude is 3 cm. Which of the following is the speed of this wave?

1.5 cm/s

3 cm/s

0.75 cm/s

### D

12 cm/s

Tags: Electromagnetics | Quantitative Skills |

278

### Q:

While half-life is a common concept in chemistry, a third-life is also sometimes used. It is defined as the time for a substance to be reduced to a third of its initial value. If a substance has a third-life of 10 minutes and we start with 1000 g of a substance, approximately how much will be left in 30 minutes?

40 g

75 g

87 g

### D

101 g

Tags: Quantitative Skills |

279

### Q:

A rocket is traveling at 10 m/s and accelerates to 100 m/s at a rate of 10 m/s2. What, approximately, is the distance the rocket traverses from initial to final velocity?

100m

500m

1000m

### D

1500m

Tags: Kinematics | Quantitative Skills |

280

### Q:

Albinism in some species is a recessive trait. If 90% of the alleles in this species are dominant and 10% are recessive, how many heterozygotes would be expected in a population of 100 animals? Assume that the population is in Hardy-Weinberg equilibrium.

14

18

24

### D

32

Tags: Evolution | Quantitative Skills |

281

### Q:

An object is placed 4m away from a giant converging lens. The image that is formed by this lens is a distance of 6m from the object. What is the focal length of the lens?

12/5

5/12

4/3

### D

3/4

Tags: Optics | Quantitative Skills |

282

### Q:

A particular virus is in the shape of a cube with sides of 1.5 x 10-3 m. The mass of this virus is 9 x 10-9 g. Assuming that the virus is homogeneously dense, which of the following is the magnitude of the density of the virus?

8/3 g/m3

71/14 g/m3

3/17 g/m3

### D

13/5 g/m3

Tags: Quantitative Skills |

283

### Q:

The gravitational potential energy of the moon with respect to the Earth is X. If the distance between the moon and Earth doubles, which of the following reflects the new gravitational potential energy?

2X

4X

X/2

### D

X/4

Tags: Energy & Work | Quantitative Skills |

284

### Q:

90 g of fructose (C6H12O6) is dissolved in 350 mL of water at 45 degrees Celcius. What is the approximate molality of this solution?

0.9

1.5

2.4

### D

2.9

Tags: Solutions | Quantitative Skills |

285

### Q:

Three capacitors are in series in a circuit. One with a capacitance of 3 farads, one with 2 farads, and one unknown. If the total capacitance is 1 farad, what is the capacitance of the third capacitor?

### D

Tags: Circuits | Quantitative Skills |

286

### Q:

A car travels 90km to the west and then 60km to the northeast (45 degrees to the horizontal). Which of the following is the approximate x-displacement of the car?

150 km

50 km

25 km

### D

10 km

Tags: Quantitative Skills |

287

### Q:

How much energy is required to run a 50 W motor for 3 hours?

50 kJ

150 kJ

360 kJ

### D

540 kJ

Tags: Energy & Work | Quantitative Skills |

288

### Q:

A car accelerates from 0 m/s to 100 m/s in 5 seconds. What distance does the car drive over to achieve this acceleration?

100m

150m

200m

### D

250m

Tags: Kinematics | Quantitative Skills |

289

### Q:

A spring with a k constant of 5 N/m is stretched 2 m from its equilibrium position by force F. Assume that this force continues to be applied as the spring is compressed to 2 m from its equilibrium position. How much work is performed by the force on the spring system?

0 J

20 J

25 J

### D

40 J

Tags: Forces | Energy & Work | Quantitative Skills |

290

### Q:

A mass is lifted from ground level to a height X and then to a height Y. It takes half the work to bring the mass from ground level to a height X than from point X to point Y. Which of the following is true?

Y = 2X

Y = 3X

Y = X/2

### D

Y = X/3

Tags: Energy & Work | Quantitative Skills |

291

### Q:

A sphere with a volume of 5 m3 and mass 3 kg floats in the ocean. Which of the following represents the volume of the sphere which is NOT submerged in the ocean? Assume the density of the ocean is 1 kg/L.

500 L

1500 L

4500 L

### D

4997 L

Tags: Forces | Quantitative Skills |

292

### Q:

What is the volume that 11 grams of carbon dioxide occupies at STP? Assume that the gas constant, R = 0.1.

3 L

7 L

10 L

### D

15 L

Tags: Gases | Quantitative Skills |

293

### Q:

Lead chloride dissolves in aqueous solution in the following fashion: PbCl2(s) → Pb2+(aq) + 2Cl-(aq). An experiment is performed by adding 100 g of solid lead chloride to 500 mL of water; 85 g of lead chloride are found to be undissolved at the end of the experiment. Which of the following is the solubility product for the reaction? Assume the molar weight of lead chloride is 300 g.

0.004

0.04

0.24

### D

0.001

Tags: Solutions | Quantitative Skills |

294

### Q:

Which of the following is the rate of flow of fluid traveling at 0.3 m/s through a lumen of cross-sectional diameter of 4 x 10-3 m?

2 x 10-4 m3/s

1.5 x 10-5 m3/s

1.25 x 10-7 m3/s

### D

4 x 10-6 m3/s

Tags: Kinematics | Quantitative Skills |

295

### Q:

In a population of 1000 in Hardy-Weinberg equilibrium, 160 individuals are homozygous dominant for a trait. With this population, there are X individuals which have this dominant gene. Which of the following is the value of X?

160

480

640

### D

720

Tags: Evolution | Quantitative Skills |

296

### Q:

A ball of weight 20N sits at the bottom of a 100m pool. Buoyancy force is calculated and is determined to be 30N. Approximately how long will it take for the ball to rise to the surface?

4 seconds

6 seconds

8 seconds

### D

10 seconds

Tags: Kinematics | Forces | Quantitative Skills |

297

### Q:

A string 25 cm long is fixed at both ends on an instrument. If the speed of sound is 350 m/s, what is the fundamental frequency of the sound?

14 Hz

700 Hz

7000 Hz

### D

8750 Hz

Tags: Sound | Quantitative Skills |

298

### Q:

An object with mass M rests on a flat surface and has a coefficient of static friction of 0.2 and kinetic friction of 0.1. How much work is applied to move this object a distance D from rest if the object does not accelerate throughout motion?

0.15 x gD

0.1 x MD

0.2 x MgD

### D

0.1 x MgD

Tags: Energy & Work | Quantitative Skills |

299

### Q:

What is the molality of a solution which contains 1 mole of sodium dissolved in 2 L of water?

0.0005 m

0.5 m

2 m

### D

20 m

Tags: Solutions | Quantitative Skills |

300

### Q:

A child playing in a river holds two identical rocks under the water. One of the rocks is held just beneath the surface and the other is held two feet under the surface. Compared to the force required to hold the first rock in place, how much force is needed to hold the second rock in place?

Half the force

### B

Zero force, since the rock isn't influenced by surface tension

The same force

### D

Twice the force

Tags: Forces | Quantitative Skills |

301

### Q:

A blood platelet is moving along through an artery that is partially blocked by deposits, though there is no accumulation or leakage of blood in the artery. Which of the following best describes the speed and pressure of the platelet as it moves from the narrow region (the region partially blocked by deposits) to the wider region?

### A

An increase in pressure, and an increase in speed

### B

An increase in pressure, and a decrease in speed

### C

A decrease in pressure, and no change in speed

### D

No change in pressure, and a decrease in speed

Tags: Kinematics | Quantitative Skills |

302

### Q:

A barge carrying multiple containers is floating in an enclosed section of a canal. By mistake, a container falls off the barge into the water and sinks. With respect to an onlooker from the shore, what will happen to the water level in this section of the canal?

### A

The water level will be unaffected

### B

The water level will drop

### C

The water level will rise by the volume of the container

### D

The water level will rise by the weight of the container

Tags: Quantitative Skills |

303

### Q:

Which of the following characteristics or examples best describes a random sample?

### A

Involves dividing the population into characteristics of importance (e.g. gender, social class, etc) based on the nature of the research at hand

### B

Provides every member of the population an equal chance of being selected

### C

Random digit dialing for telephone surveys

### D

Involves bias in the selection of the sample

Tags: Quantitative Skills | Demographics |

304

### Q:

Which of the following is NOT a characteristic of a well-constructed case study?

### A

Case studies are useful for studying events that occur infrequently

### B

Case studies can provide useful evidence to support or challenge psychological theories

### C

A case study is best used when presented with an unusual or particularly revealing set of circumstances

### D

A case study does not use random sampling during the selection of the subject for the case study

Tags: Quantitative Skills | Social Processes Affecting Human Behavior |

305

### Q:

A simple pendulum consists of mass m and length L. If the mass and pendulum length are doubled, the period will:

### A

Increase by a factor of 1.4

### B

Increase by a factor of 2

### C

Decrease by a factor of 1.4

### D

Decrease by a factor of 4

Tags: Quantitative Skills | Energy & Work | Periodic Motion |

306

### Q:

In a closed system with constant temperature, pressure can be plotted against volume in a PV diagram. Given this, which of the following is NOT true?

### A

The amount of energy expended by the system can be estimated by an area on the graph.

### B

The relationship between pressure and volume would always be linearly decreasing.

### C

The change in internal energy is equal to 0.

### D

An appropriate example that can be plotted in this PV diagram is an ideal gas in a container (in a constant-temperature environment) which is allowed to expand slowly.

Tags: Energy & Work | Miscellaneous General Chemistry | Quantitative Skills | Thermochemistry |

307

### Q:

Which of the following is NOT a characteristic of an ideal fluid?

Uniform density

Incompressible

### C

Confined to turbulent flow

### D

Does not experience viscosity

Tags: Quantitative Skills | Fluids |

308

### Q:

In an experiment, a radioactive metal atom experiences alpha decay and the alpha particles are collected as a gas. If the gas volume collected contains 2 x 10-6 moles, how many total atoms decayed?

12 x 1018 atoms

6 x 1020 atoms

1.2 x 1019 atoms

### D

1.2 x 1018 atoms

Tags: Quantitative Skills | Nuclear Chemistry | Gases |

309

### Q:

Ethene has a density of 0.72 mg/mL. What is the approximate molarity of pure ethene?

0.025 M

0.125 M

0.45 M

### D

0.75 M

Tags: Atomic & Electronic Structure | Quantitative Skills |

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