Question 1

An ideal diatomic gas has a molar specific heat at constant pressure, Cp, of:

Accepted Answer

A) R 
B) 3R/2 
C) 5R/2 
D) 7R/2 
E) 9R/2 
A) R 
B) 3R/2 
C) 5R/2 
D) 7R/2 
E) 9R/2 D

Question 2

The heat capacity at constant volume of an ideal gas depends on:

Accepted Answer

A) the temperature 
B) the pressure 
C) the volume 
D) the number of molecules 
E) none of the above 
A) the temperature 
B) the pressure 
C) the volume 
D) the number of molecules 
E) none of the above D

Question 3

The heat capacity at constant volume and the heat capacity at constant pressure have different values because:

Accepted Answer

A) heat increases the internal energy at constant volume but not at constant pressure 
B) heat increases the internal energy at constant pressure but not at constant volume 
C) the system does work at constant volume but not at constant pressure 
D) the system does work at constant pressure but not at constant volume 
E) the system does more work at constant volume than at constant pressure 
A) heat increases the internal energy at constant volume but not at constant pressure 
B) heat increases the internal energy at constant pressure but not at constant volume 
C) the system does work at constant volume but not at constant pressure 
D) the system does work at constant pressure but not at constant volume 
E) the system does more work at constant volume than at constant pressure D

Question 4

The number of degrees of freedom of a rigid diatomic molecule is:

Accepted Answer

A) 2 
B) 3 
C) 4 
D) 5 
E) 6 
A) 2 
B) 3 
C) 4 
D) 5 
E) 6

Question 5

The mean free path of molecules in a gas is proportional to:

Accepted Answer

A) the molecular cross-sectional area 
B) the reciprocal of the molecular cross-sectional area 
C) the root-mean-square molecular speed 
D) the square of the average molecular speed 
E) the molar mass 
A) the molecular cross-sectional area 
B) the reciprocal of the molecular cross-sectional area 
C) the root-mean-square molecular speed 
D) the square of the average molecular speed 
E) the molar mass

Question 6

An adiabatic process for an ideal gas is represented on a p-V diagram by:

Accepted Answer

A) a horizontal line 
B) a vertical line 
C) a hyperbola 
D) a circle 
E) none of these 
A) a horizontal line 
B) a vertical line 
C) a hyperbola 
D) a circle 
E) none of these

Question 7

Two ideal monatomic gases are in thermal equilibrium with each other.Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m.The ratio of the average molecular speeds vA/vB is:

Accepted Answer

A) 1/4 
B) 1/2 
C) 1 
D) 2 
E) 4 
A) 1/4 
B) 1/2 
C) 1 
D) 2 
E) 4

Question 8

Assume that helium behaves as an ideal monatomic gas.If 2 moles of helium undergo a temperature increase of 100 K at constant volume, how much work is done by the gas?

Accepted Answer

A) 0 J 
B) 1700 J 
C) 2500 J 
D) 4200 J 
E) 5000 J 
A) 0 J 
B) 1700 J 
C) 2500 J 
D) 4200 J 
E) 5000 J

Question 9

The speeds of 25 molecules are distributed as follows: 5 in the range from 2 to 3 m/s, 10 in the range from 3 to 4 m/s, 5 in the range from 4 to 5 m/s, 3 in the range from 5 to 6 m/s, 1 in the range from 6 to 7 m/s, and 1 in the range from 7 to 8 m/s.Their average speed is about:

Accepted Answer

A) 2 m/s 
B) 3 m/s 
C) 4 m/s 
D) 5 m/s 
E) 6 m/s 
A) 2 m/s 
B) 3 m/s 
C) 4 m/s 
D) 5 m/s 
E) 6 m/s

Question 10

What is the relationship between the ideal gas constant R and the Boltzmann constant k?

Accepted Answer

A) R = nk/N 
B) R = Nk/n 
C) R = n/Nk 
D) R = N/nk 
E) depends on the molar specific heat of the gas 
A) R = nk/N 
B) R = Nk/n 
C) R = n/Nk 
D) R = N/nk 
E) depends on the molar specific heat of the gas

Question 11

TV  $\gamma$  is constant for an ideal gas undergoing an adiabatic process, where $\gamma$ is the ratio of heat capacities Cp/Cv.This is a direct consequence of:

Accepted Answer

A) the zeroth law of thermodynamics alone 
B) the zeroth law and the ideal gas equation of state 
C) the first law of thermodynamics alone 
D) the ideal gas equation of state alone 
E) the first law and the equation of state 
A) the zeroth law of thermodynamics alone 
B) the zeroth law and the ideal gas equation of state 
C) the first law of thermodynamics alone 
D) the ideal gas equation of state alone 
E) the first law and the equation of state

Question 12

The pressure of an ideal gas is doubled during a process in which the energy given up as heat by the gas equals the work done on the gas.As a result, the volume is:

Accepted Answer

A) doubled 
B) halved 
C) unchanged 
D) need more information to answer 
E) nonsense, the process is impossible 
A) doubled 
B) halved 
C) unchanged 
D) need more information to answer 
E) nonsense, the process is impossible

Question 13

Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4m.The average molecular energies are the same if the ratio of the temperatures TA/TB is:

Accepted Answer

A) 1/4 
B) 1/2 
C) 1 
D) 2 
E) 4 
A) 1/4 
B) 1/2 
C) 1 
D) 2 
E) 4

Question 14

During a slow adiabatic expansion of a gas:

Accepted Answer

A) the pressure remains constant 
B) energy is added as heat 
C) work is done on the gas 
D) no energy enters or leaves as heat 
E) the temperature is constant 
A) the pressure remains constant 
B) energy is added as heat 
C) work is done on the gas 
D) no energy enters or leaves as heat 
E) the temperature is constant

Question 15

An ideal monatomic gas has a molar specific heat Cv at constant volume of:

Accepted Answer

A) R 
B) 3R/2 
C) 5R/2 
D) 7R/2 
E) 9R/2 
A) R 
B) 3R/2 
C) 5R/2 
D) 7R/2 
E) 9R/2

Question 16

The specific heat Cv at constant volume of a monatomic gas at low pressure is proportional to Tn where the exponent n is:

Accepted Answer

A) -1 
B) 0 
C) 1/2 
D) 1 
E) 2 
A) -1 
B) 0 
C) 1/2 
D) 1 
E) 2

Question 17

Five molecules have speeds of 2.8, 3.2, 5.8, 7.3, and 7.4 m/s.Their root-mean-square speed is closest to:

Accepted Answer

A) 2.5 m/s 
B) 5.3 m/s 
C) 5.7 m/s 
D) 28 m/s 
E) 32 m/s 
A) 2.5 m/s 
B) 5.3 m/s 
C) 5.7 m/s 
D) 28 m/s 
E) 32 m/s

Question 18

Air enters a hot-air furnace at 7 $\degree$C and leaves at 77 $\degree$C.If the pressure does not change each entering cubic meter of air expands to:

Accepted Answer

A) 0.80 m3 
B) 1.25 m3 
C) 1.9 m3 
D) 7.0 m3 
E) 11 m3 
A) 0.80 m3 
B) 1.25 m3 
C) 1.9 m3 
D) 7.0 m3 
E) 11 m3

Question 19

It is known that 28 grams of a certain ideal gas occupy 22.4 liters at standard conditions (0 $\degree$C, 1 atm).The volume occupied by 42 grams of this gas at standard conditions is:

Accepted Answer

A) 14.9 liters 
B) 22.4 liters 
C) 33.6 liters 
D) 42 liters 
E) more data are needed 
A) 14.9 liters 
B) 22.4 liters 
C) 33.6 liters 
D) 42 liters 
E) more data are needed

Question 20

Avogadro's number is:

Accepted Answer

A) 6.02 x 1018 mol-1 
B) 6.02 x 1020 mol-1 
C) 6.02 x 1022 mol-1 
D) 6.02 x 1023 mol-1 
E) 6.02 x 1024 mol-1 
A) 6.02 x 1018 mol-1 
B) 6.02 x 1020 mol-1 
C) 6.02 x 1022 mol-1 
D) 6.02 x 1023 mol-1 
E) 6.02 x 1024 mol-1

Exam 19: The Kinetic Theory of Gases

An ideal diatomic gas has a molar specific heat at constant pressure, Cp, of:

The heat capacity at constant volume of an ideal gas depends on:

The heat capacity at constant volume and the heat capacity at constant pressure have different values because:

The number of degrees of freedom of a rigid diatomic molecule is:

The mean free path of molecules in a gas is proportional to:

An adiabatic process for an ideal gas is represented on a p-V diagram by:

Two ideal monatomic gases are in thermal equilibrium with each other.Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m.The ratio of the average molecular speeds vA/vB is:

Assume that helium behaves as an ideal monatomic gas.If 2 moles of helium undergo a temperature increase of 100 K at constant volume, how much work is done by the gas?

The speeds of 25 molecules are distributed as follows: 5 in the range from 2 to 3 m/s, 10 in the range from 3 to 4 m/s, 5 in the range from 4 to 5 m/s, 3 in the range from 5 to 6 m/s, 1 in the range from 6 to 7 m/s, and 1 in the range from 7 to 8 m/s.Their average speed is about:

What is the relationship between the ideal gas constant R and the Boltzmann constant k?

TV γ\gammaγ is constant for an ideal gas undergoing an adiabatic process, where γ\gammaγ is the ratio of heat capacities Cp/Cv.This is a direct consequence of:

The pressure of an ideal gas is doubled during a process in which the energy given up as heat by the gas equals the work done on the gas.As a result, the volume is:

Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4m.The average molecular energies are the same if the ratio of the temperatures TA/TB is:

During a slow adiabatic expansion of a gas:

An ideal monatomic gas has a molar specific heat Cv at constant volume of:

The specific heat Cv at constant volume of a monatomic gas at low pressure is proportional to Tn where the exponent n is:

Five molecules have speeds of 2.8, 3.2, 5.8, 7.3, and 7.4 m/s.Their root-mean-square speed is closest to:

Air enters a hot-air furnace at 7 °\degree° C and leaves at 77 °\degree° C.If the pressure does not change each entering cubic meter of air expands to:

It is known that 28 grams of a certain ideal gas occupy 22.4 liters at standard conditions (0 °\degree° C, 1 atm).The volume occupied by 42 grams of this gas at standard conditions is:

Avogadro's number is:

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An ideal diatomic gas has a molar specific heat at constant pressure, C_p, of:

Two ideal monatomic gases are in thermal equilibrium with each other.Gas A is composed of molecules with mass m while gas B is composed of molecules with mass 4m.The ratio of the average molecular speeds v_A/v_B is:

TV ^$\gamma$ is constant for an ideal gas undergoing an adiabatic process, where $\gamma$ is the ratio of heat capacities C_p/C_v.This is a direct consequence of:

Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4m.The average molecular energies are the same if the ratio of the temperatures T_A/T_B is:

An ideal monatomic gas has a molar specific heat C_v at constant volume of:

The specific heat C_v at constant volume of a monatomic gas at low pressure is proportional to Tⁿ where the exponent n is:

Air enters a hot-air furnace at 7 $\degree$ C and leaves at 77 $\degree$ C.If the pressure does not change each entering cubic meter of air expands to:

It is known that 28 grams of a certain ideal gas occupy 22.4 liters at standard conditions (0 $\degree$ C, 1 atm).The volume occupied by 42 grams of this gas at standard conditions is: