Question 1

The ratio of the specific heat of an ideal gas at constant volume to its specific heat at constant pressure is:

Accepted Answer

A)  R 
B)  1/R 
C)  dependent on the temperature 
D)  dependent on the pressure 
E)  different for monatomic, diatomic, and polyatomic gases 
A)  R 
B)  1/R 
C)  dependent on the temperature 
D)  dependent on the pressure 
E)  different for monatomic, diatomic, and polyatomic gases

Question 2

When work W is done on an ideal gas of N diatomic molecules in thermal isolation the temperature increases by:

Accepted Answer

A)  W/2Nk 
B)  W/3Nk 
C)  2W/3Nk 
D)  2W/5Nk 
E)  W/Nk 
A)  W/2Nk 
B)  W/3Nk 
C)  2W/3Nk 
D)  2W/5Nk 
E)  W/Nk

Question 3

As the volume of an ideal gas is increased at constant pressure the average molecular speed:

Accepted Answer

A)  increases 
B)  decreases 
C)  increases at high temperature, decreases at low 
D)  decreases at high temperature, increases at low 
E)  stays the same 
A)  increases 
B)  decreases 
C)  increases at high temperature, decreases at low 
D)  decreases at high temperature, increases at low 
E)  stays the same

Question 4

The number of degrees of freedom of a triatomic molecule is:

Accepted Answer

A)  1 
B)  3 
C)  6 
D)  8 
E)  9 
A)  1 
B)  3 
C)  6 
D)  8 
E)  9

Question 5

Over 1 cycle of a cyclic process in which a system does net work on its environment:

Accepted Answer

A)  the change in the pressure of the system cannot be zero 
B)  the change in the volume of the system cannot be zero 
C)  the change in the temperature of the system cannot be zero 
D)  the change in the internal energy of the system cannot be zero 
E)  none of the above 
A)  the change in the pressure of the system cannot be zero 
B)  the change in the volume of the system cannot be zero 
C)  the change in the temperature of the system cannot be zero 
D)  the change in the internal energy of the system cannot be zero 
E)  none of the above

Question 6

Oxygen (molar mass = 32 g) occupies a volume of 12 liters when its temperature is 20$\degree$C and its pressure is 1 atm. Using R = 0.082 liter . atm/mole. K, calculate the mass of the oxygen:

Accepted Answer

A)  6.4 g 
B)  10.7 g 
C)  16 g 
D)  32 g 
E)  64 g 
A)  6.4 g 
B)  10.7 g 
C)  16 g 
D)  32 g 
E)  64 g

Question 7

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)  5.3 m/s 
B)  5.7 m/s 
C)  7.3 m/s 
D)  28 m/s 
E)  32 m/s 
A)  5.3 m/s 
B)  5.7 m/s 
C)  7.3 m/s 
D)  28 m/s 
E)  32 m/s

Question 8

A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal or isobaric. Rank those three processes in order of the work required of an external agent, least to greatest.

Accepted Answer

A)  adiabatic, isothermal, isobaric 
B)  adiabatic, isobaric, isothermal 
C)  isothermal, adiabatic, isobaric 
D)  isobaric, adiabatic, isothermal 
E)  isobaric, isothermal, adiabatic 
A)  adiabatic, isothermal, isobaric 
B)  adiabatic, isobaric, isothermal 
C)  isothermal, adiabatic, isobaric 
D)  isobaric, adiabatic, isothermal 
E)  isobaric, isothermal, adiabatic

Question 9

The internal energy of an ideal gas depends on:

Accepted Answer

A)  the temperature only 
B)  the pressure only 
C)  the volume only 
D)  the temperature and pressure only 
E)  temperature, pressure, and volume 
A)  the temperature only 
B)  the pressure only 
C)  the volume only 
D)  the temperature and pressure only 
E)  temperature, pressure, and volume

Question 10

An automobile tire is pumped up to a gauge pressure of 2.0 * 105 Pa when the temperature is 27$\degree$C. What is its gauge pressure after the car has been running on a hot day so that the tire temperature is 77$\degree$C? Assume that the volume remains fixed and take atmospheric pressure to be 1.013 *105 Pa.

Accepted Answer

A)  1.6 *105 Pa 
B)  2.6 *105 Pa 
C)  3.6 *105 Pa 
D)  5.9*105 Pa 
E)  7.9 * 105 Pa 
A)  1.6 *105 Pa 
B)  2.6 *105 Pa 
C)  3.6 *105 Pa 
D)  5.9*105 Pa 
E)  7.9 * 105 Pa

Question 11

A real gas is changed slowly from state 1 to state 2. During this process no work is done on or by the gas. This process must be:

Accepted Answer

A)  isothermal 
B)  adiabatic 
C)  isovolumic 
D)  isobaric 
E)  a closed cycle with point 1 coinciding with point 2 
A)  isothermal 
B)  adiabatic 
C)  isovolumic 
D)  isobaric 
E)  a closed cycle with point 1 coinciding with point 2

Question 12

Both the pressure and volume of an ideal gas of diatomic molecules are doubled. The ratio of the new internal energy to the old both measured relative to the internal energy at 0 K 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 13

Two identical rooms in a house are connected by an open doorway. The temperatures in the two rooms are maintained at different values. Which room contains more air?

Accepted Answer

A)  the room with higher temperature 
B)  the room with lower temperature 
C)  the room with higher pressure 
D)  neither because both have the same pressure 
E)  neither because both have the same volume 
A)  the room with higher temperature 
B)  the room with lower temperature 
C)  the room with higher pressure 
D)  neither because both have the same pressure 
E)  neither because both have the same volume

Question 14

The root-mean-square sped of molecules in a gas is:

Accepted Answer

A)  the most probable speed 
B)  that speed such that half the molecules are moving faster than vrms and the other half are moving slower 
C)  the average speed of the molecules 
D)  the square root of the square of the average speed 
E)  none of the above 
A)  the most probable speed 
B)  that speed such that half the molecules are moving faster than vrms and the other half are moving slower 
C)  the average speed of the molecules 
D)  the square root of the square of the average speed 
E)  none of the above

Question 15

A real gas undergoes a process which can be represented as a curve on a p-V diagram. The work done by the gas during this process is:

Accepted Answer

A)  pV 
B)  p(V2 - V1) 
C)  (p2 - p1)V 
D)  $\int$p dV 
E)  V dp 
A)  pV 
B)  p(V2 - V1) 
C)  (p2 - p1)V 
D)  $\int$p dV 
E)  V dp

Exam 19: The Kinetic Theory of Gases

The ratio of the specific heat of an ideal gas at constant volume to its specific heat at constant pressure is:

When work W is done on an ideal gas of N diatomic molecules in thermal isolation the temperature increases by:

As the volume of an ideal gas is increased at constant pressure the average molecular speed:

The number of degrees of freedom of a triatomic molecule is:

Over 1 cycle of a cyclic process in which a system does net work on its environment:

Oxygen (molar mass = 32 g) occupies a volume of 12 liters when its temperature is 20 °\degree° C and its pressure is 1 atm. Using R = 0.082 liter . atm/mole. K, calculate the mass of the oxygen:

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:

A quantity of an ideal gas is compressed to half its initial volume. The process may be adiabatic, isothermal or isobaric. Rank those three processes in order of the work required of an external agent, least to greatest.

The internal energy of an ideal gas depends on:

A real gas is changed slowly from state 1 to state 2. During this process no work is done on or by the gas. This process must be:

Both the pressure and volume of an ideal gas of diatomic molecules are doubled. The ratio of the new internal energy to the old both measured relative to the internal energy at 0 K is:

Two identical rooms in a house are connected by an open doorway. The temperatures in the two rooms are maintained at different values. Which room contains more air?

The root-mean-square sped of molecules in a gas is:

A real gas undergoes a process which can be represented as a curve on a p-V diagram. The work done by the gas during this process is:

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Oxygen (molar mass = 32 g) occupies a volume of 12 liters when its temperature is 20 $\degree$ C and its pressure is 1 atm. Using R = 0.082 liter . atm/mole. K, calculate the mass of the oxygen: