Question 1

Oxygen has a molar mass of 32 g/mol.If 12 moles of oxygen are in a 0.1-m3 container with an rms speed of 480 m/s, what is the pressure of the gas?

Accepted Answer

A) 2.9 x 105 Pa 
B) 2.1 x 106 Pa 
C) 3.4 x 107 Pa 
D) 2.9 x 108 Pa 
E) 2.1 x 109 Pa 
A) 2.9 x 105 Pa 
B) 2.1 x 106 Pa 
C) 3.4 x 107 Pa 
D) 2.9 x 108 Pa 
E) 2.1 x 109 Pa

Question 2

The pressure of an ideal gas of diatomic molecules is doubled by halving the volume.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 3

If a gas expands freely into a vacuum,

Accepted Answer

A) the expansion is adiabatic, so the gas does work on its environment and its internal energy decreases. 
B) the expansion is isothermal. 
C) the expansion is occurs at constant pressure. 
D) the expansion is adiabatic but no work is done, so the internal energy of the gas and its temperature both decrease. 
E) the expansion is adiabatic but no work is done, so the internal energy of the gas and its temperature do not change. 
A) the expansion is adiabatic, so the gas does work on its environment and its internal energy decreases. 
B) the expansion is isothermal. 
C) the expansion is occurs at constant pressure. 
D) the expansion is adiabatic but no work is done, so the internal energy of the gas and its temperature both decrease. 
E) the expansion is adiabatic but no work is done, so the internal energy of the gas and its temperature do not change.

Question 4

A monatomic gas can have internal energy consisting of:

Accepted Answer

A) translational motion only 
B) rotational motion only 
C) oscillatory motion only 
D) both translational and rotational motion 
E) translational, rotational, and oscillatory motion, depending on temperature 
A) translational motion only 
B) rotational motion only 
C) oscillatory motion only 
D) both translational and rotational motion 
E) translational, rotational, and oscillatory motion, depending on temperature

Question 5

Platinum has a molar mass of 195 g/mol.If you have a ring that contains 2.3 g of platinum, how many moles does it contain?

Accepted Answer

A) 0.012 mol 
B) 85 mol 
C) 450 mol 
D) 7.2 x 1021 mol 
E) 1.4 x 1024 mol 
A) 0.012 mol 
B) 85 mol 
C) 450 mol 
D) 7.2 x 1021 mol 
E) 1.4 x 1024 mol

Question 6

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) 2.3 *105 Pa 
C) 2.5 * 105 Pa 
D) 3.6 *105 Pa 
E) 8.6 * 105 Pa 
A) 1.6 *105 Pa 
B) 2.3 *105 Pa 
C) 2.5 * 105 Pa 
D) 3.6 *105 Pa 
E) 8.6 * 105 Pa

Question 7

A diatomic gas can have internal energy consisting of:

Accepted Answer

A) translational motion only 
B) rotational motion only 
C) oscillatory motion only 
D) both translational and rotational motion 
E) translational, rotational, and oscillatory motion, depending on temperature 
A) translational motion only 
B) rotational motion only 
C) oscillatory motion only 
D) both translational and rotational motion 
E) translational, rotational, and oscillatory motion, depending on temperature

Question 8

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 speeds 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 9

In a certain gas the molecules are 5.0 *10-9 m apart on average, have a mean free path of 5.0 *10-6 m, and have an average speed of 500 m/s.The rate at which a molecule has collision with other molecules is about:

Accepted Answer

A) 10 - 11 s - 1 
B) 10 - 8 s - 1 
C) 1 s - 1 
D) 108 s - 1 
E) 1011 s - 1 
A) 10 - 11 s - 1 
B) 10 - 8 s - 1 
C) 1 s - 1 
D) 108 s - 1 
E) 1011 s - 1

Question 10

When work W is done on an ideal gas of diatomic molecules in thermal isolation the increase in the total rotational energy of the molecules is:

Accepted Answer

A) 0 
B) W/3 
C) 2W/3 
D) 2W/5 
E) W 
A) 0 
B) W/3 
C) 2W/3 
D) 2W/5 
E) W

Question 11

The energy absorbed as heat by an ideal gas for an isothermal process equals:

Accepted Answer

A) the work done by the gas 
B) the work done on the gas 
C) the change in the internal energy of the gas 
D) the negative of the change in internal energy of the gas 
E) zero since the process is isothermal 
A) the work done by the gas 
B) the work done on the gas 
C) the change in the internal energy of the gas 
D) the negative of the change in internal energy of the gas 
E) zero since the process is isothermal

Question 12

The specific heat 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

Question 13

Air is pumped into a bicycle tire at constant temperature.The pressure increases because:

Accepted Answer

A) more molecules strike the tire wall per second 
B) the molecules are larger 
C) the molecules are farther apart 
D) each molecule is moving faster 
E) each molecule has more kinetic energy 
A) more molecules strike the tire wall per second 
B) the molecules are larger 
C) the molecules are farther apart 
D) each molecule is moving faster 
E) each molecule has more kinetic energy

Question 14

During a reversible adiabatic expansion of an ideal gas, which of the following is NOT true?

Accepted Answer

A) pV γ= constant 
B) pV = nRT 
C) TV γ -1= constant 
D) W = -$\int$ pdV 
E) pV = constant 
A) pV γ= constant 
B) pV = nRT 
C) TV γ -1= constant 
D) W = -$\int$ pdV 
E) pV = constant

Question 15

Monatomic, diatomic, and polyatomic ideal gases each undergo slow adiabatic expansions from the same initial volume and the same initial pressure to the same final volume.The magnitude of the work done by the environment on the gas:

Accepted Answer

A) is greatest for the polyatomic gas 
B) is greatest for the diatomic gas 
C) is greatest for the monatomic gas 
D) is the same only for the diatomic and polyatomic gases 
E) is the same for all three gases 
A) is greatest for the polyatomic gas 
B) is greatest for the diatomic gas 
C) is greatest for the monatomic gas 
D) is the same only for the diatomic and polyatomic gases 
E) is the same for all three gases

Question 16

An ideal gas occupies 12 liters at 293 K and 1 atm (76 cm Hg).Its temperature is now raised to 373 K and its pressure increased to 215 cm Hg.The new volume is:

Accepted Answer

A) 3.3 liters 
B) 5.4 liters 
C) 27 liters 
D) 46 liters 
E) none of these 
A) 3.3 liters 
B) 5.4 liters 
C) 27 liters 
D) 46 liters 
E) none of these

Question 17

A sample of an ideal gas is compressed by a piston from 10 m3 to 5 m3 and simultaneously cooled from 273 $\degree$C to 0 $\degree$C.As a result there is:

Accepted Answer

A) an increase in pressure 
B) a decrease in pressure 
C) a decrease in density 
D) no change in volume 
E) an increase in density 
A) an increase in pressure 
B) a decrease in pressure 
C) a decrease in density 
D) no change in volume 
E) an increase in density

Question 18

In using the ideal gas law, the temperature T must be measured in:

Accepted Answer

A) Celsius 
B) Kelvin 
C) Fahrenheit 
D) either Celsius or Kelvin 
E) any units as long as the correct values of k or R are used 
A) Celsius 
B) Kelvin 
C) Fahrenheit 
D) either Celsius or Kelvin 
E) any units as long as the correct values of k or R are used

Question 19

An ideal gas of N diatomic molecules has temperature T.If the number of molecules is doubled without changing the temperature, the internal energy increases by:

Accepted Answer

A) 0 
B) 1/2 NkT 
C) 3/2 NkT 
D) 5/2 NkT 
E) 3 NkT 
A) 0 
B) 1/2 NkT 
C) 3/2 NkT 
D) 5/2 NkT 
E) 3 NkT

Question 20

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

Accepted Answer

A) 1 
B) less than 1 
C) more than 1 
D) has units of pressure/volume 
E) has units of volume/pressure 
A) 1 
B) less than 1 
C) more than 1 
D) has units of pressure/volume 
E) has units of volume/pressure

Exam 19: The Kinetic Theory of Gases

Oxygen has a molar mass of 32 g/mol.If 12 moles of oxygen are in a 0.1-m3 container with an rms speed of 480 m/s, what is the pressure of the gas?

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

If a gas expands freely into a vacuum,

A monatomic gas can have internal energy consisting of:

Platinum has a molar mass of 195 g/mol.If you have a ring that contains 2.3 g of platinum, how many moles does it contain?

A diatomic gas can have internal energy consisting 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 speeds are the same if the ratio of the temperatures TA/TB is:

In a certain gas the molecules are 5.0 *10-9 m apart on average, have a mean free path of 5.0 *10-6 m, and have an average speed of 500 m/s.The rate at which a molecule has collision with other molecules is about:

When work W is done on an ideal gas of diatomic molecules in thermal isolation the increase in the total rotational energy of the molecules is:

The energy absorbed as heat by an ideal gas for an isothermal process equals:

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

Air is pumped into a bicycle tire at constant temperature.The pressure increases because:

During a reversible adiabatic expansion of an ideal gas, which of the following is NOT true?

Monatomic, diatomic, and polyatomic ideal gases each undergo slow adiabatic expansions from the same initial volume and the same initial pressure to the same final volume.The magnitude of the work done by the environment on the gas:

An ideal gas occupies 12 liters at 293 K and 1 atm (76 cm Hg).Its temperature is now raised to 373 K and its pressure increased to 215 cm Hg.The new volume is:

A sample of an ideal gas is compressed by a piston from 10 m3 to 5 m3 and simultaneously cooled from 273 °\degree° C to 0 °\degree° C.As a result there is:

In using the ideal gas law, the temperature T must be measured in:

An ideal gas of N diatomic molecules has temperature T.If the number of molecules is doubled without changing the temperature, the internal energy increases by:

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

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Oxygen has a molar mass of 32 g/mol.If 12 moles of oxygen are in a 0.1-m³ container with an rms speed of 480 m/s, what is the pressure of the gas?

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 speeds are the same if the ratio of the temperatures T_A/T_B is:

In a certain gas the molecules are 5.0 10^-9m apart on average, have a mean free path of 5.0 10^-6m, and have an average speed of 500 m/s.The rate at which a molecule has collision with other molecules is about:

A sample of an ideal gas is compressed by a piston from 10 m³ to 5 m³ and simultaneously cooled from 273 $\degree$ C to 0 $\degree$ C.As a result there is: