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Which of the following statements about the ideal gas law,PV = nRT,is NOT true?


A) When the temperature of two low density gases,which are initially at the same temperature,pressure and volume,is increased by the same amount,the volume increases by the same amount.
B) When the volume of two low density gases,which are initially at the same temperature,pressure and volume,is compressed by the same amount,the temperature increases by the same amount.
C) A P-T plot of any gas at low density intercept the T-axis at the same point.
D) The intercept at the ordinate for PV/nT vs P plot of any gas is the gas constant.
E) The ideal gas law is valid for high density of all gases.

F) C) and D)
G) None of the above

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A temperature difference of 9ºF is the same as a difference of


A) 5ºC
B) 9ºC
C) 20ºC
D) 68ºC
E) 100ºC

F) C) and E)
G) A) and C)

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If the absolute temperature of a gas is doubled,what is the change in the average kinetic energy of its molecules?


A) no change
B) increases by a factor of 2
C) decreases by a factor of 2
D) increases by a factor of If the absolute temperature of a gas is doubled,what is the change in the average kinetic energy of its molecules? A) no change B) increases by a factor of 2 C) decreases by a factor of 2 D) increases by a factor of   E) decreases by a factor of
E) decreases by a factor of If the absolute temperature of a gas is doubled,what is the change in the average kinetic energy of its molecules? A) no change B) increases by a factor of 2 C) decreases by a factor of 2 D) increases by a factor of   E) decreases by a factor of

F) B) and C)
G) A) and E)

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Doubling the Kelvin temperature of a gas increases which of the following measures of its molecular velocity by a factor of 1.4?


A) the rms speed
B) the average speed
C) the most probable speed
D) All three of these speeds are correct.
E) None of these is correct.

F) A) and B)
G) C) and E)

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Use the following to answer the question: Use the following to answer the question:   -The figure shows the distribution of the molecular speeds of a gas for two different temperatures. A) The curve labeled T<sub>1</sub> represents the distribution for the higher temperature molecules. B) The point labeled  1  corresponds to the rms speed of the molecules whose temperature is T<sub>1</sub>. C) The point labeled  2  corresponds to the maximum speed of the molecules whose temperature is T<sub>1</sub>. D) The point labeled  3  corresponds to the rms speed of the molecules whose temperature is T<sub>1</sub>. E) None of these is correct. -The figure shows the distribution of the molecular speeds of a gas for two different temperatures.


A) The curve labeled T1 represents the distribution for the higher temperature molecules.
B) The point labeled "1" corresponds to the rms speed of the molecules whose temperature is T1.
C) The point labeled "2" corresponds to the maximum speed of the molecules whose temperature is T1.
D) The point labeled "3" corresponds to the rms speed of the molecules whose temperature is T1.
E) None of these is correct.

F) A) and D)
G) A) and C)

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Normal human body temperature is 98.6ºF.What is the corresponding Celsius temperature?


A) 54.8ºC
B) 72.6ºC
C) 40.0ºC
D) 37.0ºC
E) 35.5ºC

F) A) and B)
G) A) and E)

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A constant-volume gas thermometer reads 6.66 kPa at the triple point of water.What is the pressure reading at the normal boiling point of water?


A) 2.44 kPa
B) 18.2 kPa
C) 9.10 kPa
D) 11.8 kPa
E) 4.87 kPa

F) A) and E)
G) B) and D)

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On the basis of the kinetic theory of gases,when the absolute temperature is doubled,the average kinetic energy of the gas molecules changes by a factor of


A) 16
B) 2
C) On the basis of the kinetic theory of gases,when the absolute temperature is doubled,the average kinetic energy of the gas molecules changes by a factor of A) 16 B) 2 C)    D) 4 E) 0.5
D) 4
E) 0.5

F) All of the above
G) D) and E)

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A device used to measure the speed,v,of molecules is shown below.When the cylinder is rotated,only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector.Drive an expression for the speed v in terms of the angular speed, ω\omega , ϕ\phi ,and L.L is the length of the cylinder and ϕ\phi is the angle subtended by the slanted slot.  A device used to measure the speed,v,of molecules is shown below.When the cylinder is rotated,only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector.Drive an expression for the speed v in terms of the angular speed, \omega , \phi ,and L.L is the length of the cylinder and  \phi  is the angle subtended by the slanted slot.   A)    B)    C)    D)    E)


A)  A device used to measure the speed,v,of molecules is shown below.When the cylinder is rotated,only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector.Drive an expression for the speed v in terms of the angular speed, \omega , \phi ,and L.L is the length of the cylinder and  \phi  is the angle subtended by the slanted slot.   A)    B)    C)    D)    E)
B)  A device used to measure the speed,v,of molecules is shown below.When the cylinder is rotated,only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector.Drive an expression for the speed v in terms of the angular speed, \omega , \phi ,and L.L is the length of the cylinder and  \phi  is the angle subtended by the slanted slot.   A)    B)    C)    D)    E)
C)  A device used to measure the speed,v,of molecules is shown below.When the cylinder is rotated,only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector.Drive an expression for the speed v in terms of the angular speed, \omega , \phi ,and L.L is the length of the cylinder and  \phi  is the angle subtended by the slanted slot.   A)    B)    C)    D)    E)
D)  A device used to measure the speed,v,of molecules is shown below.When the cylinder is rotated,only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector.Drive an expression for the speed v in terms of the angular speed, \omega , \phi ,and L.L is the length of the cylinder and  \phi  is the angle subtended by the slanted slot.   A)    B)    C)    D)    E)
E)  A device used to measure the speed,v,of molecules is shown below.When the cylinder is rotated,only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector.Drive an expression for the speed v in terms of the angular speed, \omega , \phi ,and L.L is the length of the cylinder and  \phi  is the angle subtended by the slanted slot.   A)    B)    C)    D)    E)

F) B) and D)
G) All of the above

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If you plot a graph with Fahrenheit temperatures along the horizontal axis and the corresponding Celsius temperatures along the vertical axis,the slope of the equal-temperature line will be


A) -40 Fº/Cº
B) 32 Fº/Cº
C) 1.8 Fº/Cº
D) 0.56 Fº/Cº
E) 0 Fº/Cº

F) A) and B)
G) A) and C)

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Use the following to answer the question: Use the following to answer the question:   -The figure shows the distribution of the molecular speeds of a gas for two different temperatures. A) The curve labeled T<sub>2</sub> represents the distribution for the higher temperature molecules. B) The point labeled  1  corresponds to the rms speed of the molecules whose temperature is T<sub>1</sub>. C) The point labeled  2  corresponds to the maximum speed of the molecules whose temperature is T<sub>1</sub>. D) The point labeled  3  corresponds to the average speed of the molecules whose temperature is T<sub>1</sub>. E) None of these is correct. -The figure shows the distribution of the molecular speeds of a gas for two different temperatures.


A) The curve labeled T2 represents the distribution for the higher temperature molecules.
B) The point labeled "1" corresponds to the rms speed of the molecules whose temperature is T1.
C) The point labeled "2" corresponds to the maximum speed of the molecules whose temperature is T1.
D) The point labeled "3" corresponds to the average speed of the molecules whose temperature is T1.
E) None of these is correct.

F) A) and C)
G) A) and D)

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A temperature difference of 5 Cº is the same as a difference of


A) 41 Fº
B) 14 Fº
C) 9 Fº
D) 5 Fº
E) -15 Fº

F) D) and E)
G) B) and E)

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In a vacuum system,a container is pumped down to a pressure of 1.33 ×\times 10-6 Pa at 20ºC.How many molecules of gas are there in 1 cm3 of this container? (Boltzmann's constant k = 1.38 ×\times 10-23 J/K)


A) 3.3 ×\times 108
B) 4.8 ×\times 109
C) 3.3 ×\times 1014
D) 7.9 ×\times 1012
E) 4.8 ×\times 1012

F) A) and E)
G) A) and D)

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The rms speed of oxygen molecules is 460 m/s at 0ºC.The molecular weight of oxygen is 8 times the molecular weight of helium.The rms speed of helium at 40ºC is approximately


A) 3.68 km/s
B) 1.84 km/s
C) 1.40 km/s
D) 880 m/s
E) 440 m/s

F) B) and E)
G) A) and D)

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At what common Celsius temperature is the rms velocity of oxygen molecules (molar mass = 32 g/mol) double that of hydrogen molecules (molar mass = 2.0 g/mol) ?


A) -50
B) zero
C) no such temperature exists
D) 2.0
E) 16

F) B) and E)
G) B) and D)

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Use the following to answer the question: Use the following to answer the question:   -The figure shows the distribution of the molecular speeds of a gas for two different temperatures. A) The curve labeled T<sub>1</sub> represents the distribution for the higher temperature molecules. B) The point labeled  1  corresponds to the rms speed of the molecules whose temperature is T<sub>1</sub>. C) The point labeled  2  corresponds to the maximum speed of the molecules whose temperature is T<sub>1</sub>. D) The point labeled  3  corresponds to the average speed of the molecules whose temperature is T<sub>1</sub>. E) None of these is correct. -The figure shows the distribution of the molecular speeds of a gas for two different temperatures.


A) The curve labeled T1 represents the distribution for the higher temperature molecules.
B) The point labeled "1" corresponds to the rms speed of the molecules whose temperature is T1.
C) The point labeled "2" corresponds to the maximum speed of the molecules whose temperature is T1.
D) The point labeled "3" corresponds to the average speed of the molecules whose temperature is T1.
E) None of these is correct.

F) D) and E)
G) A) and E)

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If both the temperature and the volume of an ideal gas are doubled,the pressure is


A) increased by a factor of 4.
B) doubled also.
C) unchanged.
D) diminished by a factor of ¼.
E) None of these is correct.

F) All of the above
G) B) and D)

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Boltzmann's constant,k,has a value of 1.381 ×\times 10-23 J/K.What is the significance of the constant?


A) It defines a characteristic energy at the microscopic level given the temperature in kelvins.
B) It allows the pressure of the gas to be calculated given the volume and temperature.
C) It measures the average kinetic energy of a molecule at a given temperature for each degree of freedom.
D) (A) and (B)
E) (A) and (C)

F) B) and E)
G) A) and B)

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A temperature of 14ºF is equivalent to


A) -10ºC
B) 7.77ºC
C) 25.5ºC
D) 26.7ºC
E) 47.7ºC

F) A) and B)
G) B) and D)

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A thermometer is constructed by filling a small glass tube with a liquid that expands linearly with temperature.The thermometer is then calibrated at 0 \circ C and 100 \circ C,and the scale evenly divided between the two values.Unfortunately a manufacturing defect results in the middle one-third of the tube being narrower,otherwise the tube has uniform diameter.For what range of temperatures is the reading accurate?  A thermometer is constructed by filling a small glass tube with a liquid that expands linearly with temperature.The thermometer is then calibrated at 0<sup> \circ </sup>C and 100<sup> \circ </sup>C,and the scale evenly divided between the two values.Unfortunately a manufacturing defect results in the middle one-third of the tube being narrower,otherwise the tube has uniform diameter.For what range of temperatures is the reading accurate?   A) 0<sup> \circ </sup>C to 33<sup> \circ </sup>C B) 0<sup> \circ </sup>C and 67<sup> \circ </sup>C C) 0<sup> \circ </sup>C to 33<sup> \circ </sup>C and 67<sup> \circ </sup>C to 100<sup> \circ </sup>C D) 67<sup> \circ </sup>C to 100<sup> \circ </sup>C E) At no point does this thermometer gives the right reading except at 0<sup> \circ </sup>C and 100<sup> \circ </sup>C.


A) 0 \circ C to 33 \circ C
B) 0 \circ C and 67 \circ C
C) 0 \circ C to 33 \circ C and 67 \circ C to 100 \circ C
D) 67 \circ C to 100 \circ C
E) At no point does this thermometer gives the right reading except at 0 \circ C and 100 \circ C.

F) B) and C)
G) A) and D)

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