Question 1

If the average kinetic energy of the molecules of a monatomic ideal gas at 55°C is doubled,what is the resulting temperature of the gas?

Accepted Answer

A) It becomes 55×   °C. 
B) It becomes 656°C. 
C) It becomes 110°C. 
D) It becomes 383°C. 
A) It becomes 55×   °C. 
B) It becomes 656°C. 
C) It becomes 110°C. 
D) It becomes 383°C. D

Question 2

What happens to a volume of water when its temperature is reduced from 8°C to 4°C?

Accepted Answer

A) density increases 
B) density decreases 
C) density remains constant 
D) vaporizes 
A) density increases 
B) density decreases 
C) density remains constant 
D) vaporizes A

Question 3

Two ideal gases,X and Y,are thoroughly mixed and at thermal equilibrium in a single container.The molecular mass of X is 4 times that of Y.What is the ratio of root-mean-square velocities of the two gases,vX,rms /vY,rms?

Accepted Answer

A) 4/1 
B) 2/1 
C) 1/2 
D) 1/4 
E) ​1/3 
A) 4/1 
B) 2/1 
C) 1/2 
D) 1/4 
E) ​1/3 C

Question 4

The length of a 25-m wire increases by 0.25 cm when it is heated from 20°C to 90°C.What is the coefficient of linear expansion of the wire?

Accepted Answer

A) 1.43 × 10-6/ºC 
B) 1.43 × 10-4/ºC 
C) 8.93 × 10-4/ºC 
D) 8.93 × 10-2/ºC 
A) 1.43 × 10-6/ºC 
B) 1.43 × 10-4/ºC 
C) 8.93 × 10-4/ºC 
D) 8.93 × 10-2/ºC

Question 5

A rectangular steel plate with dimensions of 40.0 cm × 30.0 cm is heated from 14.0°C to 164.0°C.What is its change in area? (Coefficient of linear expansion for steel is 11 × 10−6/C°. )

Accepted Answer

A) 8.96 cm2 
B) 29.7 cm2 
C) 3.96 cm2 
D) 1.32 cm2 
E) 9.90 cm2 
A) 8.96 cm2 
B) 29.7 cm2 
C) 3.96 cm2 
D) 1.32 cm2 
E) 9.90 cm2

Question 6

At 22.0°C an aluminum ring has an inner diameter of 7.000 cm,and a brass rod has a diameter of 7.090 cm.Keeping the brass rod at 22.0°C,which of the following temperatures of the ring will allow the ring to just slip over the brass rod? (αAl = 2.4 × 10−5 /C°,αbrass = 1.9 × 10−5/C°)

Accepted Answer

A) 536°C 
B) 418°C 
C) 190°C 
D) 558°C 
E) 725°C 
A) 536°C 
B) 418°C 
C) 190°C 
D) 558°C 
E) 725°C

Question 7

What is the mass of a mole of oxygen gas?

Accepted Answer

A) 8.0 g 
B) 16 g 
C) 24 g 
D) 32 g 
A) 8.0 g 
B) 16 g 
C) 24 g 
D) 32 g

Question 8

An automobile gas tank is filled to its capacity of 22.0 gallons with the gasoline at an initial temperature of 15.6°C.The automobile is parked in the Sun causing the gasoline's temperature to rise to 73.6°C.If the coefficient of volume expansion for gasoline is 9.60 × 10−4/C°,what volume runs out the overflow tube? Assume the change in volume of the tank is negligible.

Accepted Answer

A) 0.329 gallons 
B) 1.55 gallons 
C) 1.22 gallons 
D) 1.53 gallons 
E) 0.919 gallons 
A) 0.329 gallons 
B) 1.55 gallons 
C) 1.22 gallons 
D) 1.53 gallons 
E) 0.919 gallons

Question 9

The temperature of a quantity of ideal gas in a sealed container is increased from 0°C to 273°C.What happens to the rms speed of the molecules of the gas as a result of this temperature increase?

Accepted Answer

A) It does not change since rms speed is independent of temperature. 
B) It increases but it less than doubles. 
C) It doubles. 
D) It quadruples. 
A) It does not change since rms speed is independent of temperature. 
B) It increases but it less than doubles. 
C) It doubles. 
D) It quadruples.

Question 10

The sulfur hexafluoride molecule consists of one sulfur atom and six fluorine atoms.The atomic masses of sulfur and fluorine are 32.0 u and 19.00 u,respectively.What mass does one mole of this gas have?

Accepted Answer

A) 32.0 g 
B) 51.0 g 
C) 146 g 
D) 608 g 
A) 32.0 g 
B) 51.0 g 
C) 146 g 
D) 608 g

Question 11

13.0 g of water in a 3.25-L pressure vessel is heated to 480°C.What is the pressure inside the container? (R = 0.082 L⋅atm/mol⋅K,one mole of water has a mass of 18 grams)

Accepted Answer

A) 24.7 atm 
B) 13.7 atm 
C) 8.75 atm 
D) 15.7 atm 
E) 19.8 atm 
A) 24.7 atm 
B) 13.7 atm 
C) 8.75 atm 
D) 15.7 atm 
E) 19.8 atm

Question 12

A 2.00-L container holds half a mole of an ideal gas at a pressure of 12.0 atm.What is the gas temperature? (R = 0.082 1 L⋅atm/mol⋅K)

Accepted Answer

A) 292 K 
B) 438 K 
C) 731 K 
D) 585 K 
E) 365 K 
A) 292 K 
B) 438 K 
C) 731 K 
D) 585 K 
E) 365 K

Question 13

A spherical air bubble originating from a scuba diver at a depth of 14.0 m has a diameter of 0.8 cm.What will the bubble's diameter be when it reaches the surface? (Assume constant temperature. )

Accepted Answer

A) 1.9 cm 
B) 1.2 cm 
C) 1.1 cm 
D) 0.9 cm 
E) ​1.7 cm 
A) 1.9 cm 
B) 1.2 cm 
C) 1.1 cm 
D) 0.9 cm 
E) ​1.7 cm

Question 14

Avogadro's number is related to the universal gas constant R and the number of moles n by:

Accepted Answer

A) NA = Rn 
B) NA = R/n 
C) NA = n/R 
D) Avogadro's number cannot be related to these two quantities alone. 
A) NA = Rn 
B) NA = R/n 
C) NA = n/R 
D) Avogadro's number cannot be related to these two quantities alone.

Question 15

The ideal gas law treats gas as consisting of

Accepted Answer

A) atoms. 
B) molecules. 
C) chemicals. 
D) bubbles. 
A) atoms. 
B) molecules. 
C) chemicals. 
D) bubbles.

Question 16

A helium-filled weather balloon has a 0.50-m radius at liftoff where air pressure is 1.00 atm and the temperature is 290 K.When airborne,the temperature is 200 K,and its radius expands to 2.00 m.What is the pressure at the airborne location?

Accepted Answer

A) 0.0227 atm 
B) 0.172 atm 
C) 0.0108 atm 
D) 44.1 atm 
A) 0.0227 atm 
B) 0.172 atm 
C) 0.0108 atm 
D) 44.1 atm

Question 17

How many molecules are there in 14 grams of nitrogen gas?

Accepted Answer

A) NA/2 
B) NA 
C) 2 NA 
D) The answer is not given. 
A) NA/2 
B) NA 
C) 2 NA 
D) The answer is not given.

Question 18

In the relationship ΔP ∝ ΔT ,what scale is used for temperature?

Accepted Answer

A) Fahrenheit 
B) Celsius 
C) Kelvin 
D) Both Celsius and Kelvin may be used since the degree size is the same for both. 
A) Fahrenheit 
B) Celsius 
C) Kelvin 
D) Both Celsius and Kelvin may be used since the degree size is the same for both.

Question 19

Two moles of nitrogen gas are contained in an enclosed cylinder with a movable piston.If the gas temperature is 250 K,and the pressure is 1.10 × 106 N/m2,what is the volume? (R = 8.31 J/mol⋅K)

Accepted Answer

A) 1.89 × 10−3 m3 
B) 3.78 × 10−3 m3 
C) 4.72 × 10−3 m3 
D) 7.55 × 10−3 m3 
E) 2.83 × 10−3 m3 
A) 1.89 × 10−3 m3 
B) 3.78 × 10−3 m3 
C) 4.72 × 10−3 m3 
D) 7.55 × 10−3 m3 
E) 2.83 × 10−3 m3

Question 20

The volume holding 0.63 mole of an ideal gas is compressed to 1/4 of its original volume by a piston.At the same time the pressure of the gas triples.If the original absolute temperature of the gas was T,that is the new temperature after compression?

Accepted Answer

A) 4/3T 
B) 3/4T 
C) 0.63(3/4T) 
D) 0.63(4/3T) 
A) 4/3T 
B) 3/4T 
C) 0.63(3/4T) 
D) 0.63(4/3T)

Exam 10: Thermal Physics

If the average kinetic energy of the molecules of a monatomic ideal gas at 55°C is doubled,what is the resulting temperature of the gas?

What happens to a volume of water when its temperature is reduced from 8°C to 4°C?

Two ideal gases,X and Y,are thoroughly mixed and at thermal equilibrium in a single container.The molecular mass of X is 4 times that of Y.What is the ratio of root-mean-square velocities of the two gases,vX,rms /vY,rms?

The length of a 25-m wire increases by 0.25 cm when it is heated from 20°C to 90°C.What is the coefficient of linear expansion of the wire?

A rectangular steel plate with dimensions of 40.0 cm × 30.0 cm is heated from 14.0°C to 164.0°C.What is its change in area? (Coefficient of linear expansion for steel is 11 × 10−6/C°. )

At 22.0°C an aluminum ring has an inner diameter of 7.000 cm,and a brass rod has a diameter of 7.090 cm.Keeping the brass rod at 22.0°C,which of the following temperatures of the ring will allow the ring to just slip over the brass rod? (αAl = 2.4 × 10−5 /C°,αbrass = 1.9 × 10−5/C°)

What is the mass of a mole of oxygen gas?

The temperature of a quantity of ideal gas in a sealed container is increased from 0°C to 273°C.What happens to the rms speed of the molecules of the gas as a result of this temperature increase?

The sulfur hexafluoride molecule consists of one sulfur atom and six fluorine atoms.The atomic masses of sulfur and fluorine are 32.0 u and 19.00 u,respectively.What mass does one mole of this gas have?

13.0 g of water in a 3.25-L pressure vessel is heated to 480°C.What is the pressure inside the container? (R = 0.082 L⋅atm/mol⋅K,one mole of water has a mass of 18 grams)

A 2.00-L container holds half a mole of an ideal gas at a pressure of 12.0 atm.What is the gas temperature? (R = 0.082 1 L⋅atm/mol⋅K)

A spherical air bubble originating from a scuba diver at a depth of 14.0 m has a diameter of 0.8 cm.What will the bubble's diameter be when it reaches the surface? (Assume constant temperature. )

Avogadro's number is related to the universal gas constant R and the number of moles n by:

The ideal gas law treats gas as consisting of

A helium-filled weather balloon has a 0.50-m radius at liftoff where air pressure is 1.00 atm and the temperature is 290 K.When airborne,the temperature is 200 K,and its radius expands to 2.00 m.What is the pressure at the airborne location?

How many molecules are there in 14 grams of nitrogen gas?

In the relationship ΔP ∝ ΔT ,what scale is used for temperature?

Two moles of nitrogen gas are contained in an enclosed cylinder with a movable piston.If the gas temperature is 250 K,and the pressure is 1.10 × 106 N/m2,what is the volume? (R = 8.31 J/mol⋅K)

The volume holding 0.63 mole of an ideal gas is compressed to 1/4 of its original volume by a piston.At the same time the pressure of the gas triples.If the original absolute temperature of the gas was T,that is the new temperature after compression?

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Two ideal gases,X and Y,are thoroughly mixed and at thermal equilibrium in a single container.The molecular mass of X is 4 times that of Y.What is the ratio of root-mean-square velocities of the two gases,v_X,rms /v_Y,rms?

A rectangular steel plate with dimensions of 40.0 cm × 30.0 cm is heated from 14.0°C to 164.0°C.What is its change in area? (Coefficient of linear expansion for steel is 11 × 10−⁶/C°. )

Two moles of nitrogen gas are contained in an enclosed cylinder with a movable piston.If the gas temperature is 250 K,and the pressure is 1.10 × 10⁶ N/m²,what is the volume? (R = 8.31 J/mol⋅K)