The air in an automobile engine at 20°C is compressed from an initial pressure of 1.0 atm and a volume of 200 cm3 to a volume of 20 cm3.Find the temperature if the air behaves like an ideal gas (γ = 1.4)and the compression is adiabatic.

A) 730°C B) 460°C C) 25°C D) 50°C E) 20°C A) 730°C B) 460°C C) 25°C D) 50°C E) 20°C B

Two tanks of gas,one of hydrogen,H2,and one of helium,He,contain equal numbers of moles of gas.The gram-molecular mass of He is twice that of H2.Both tanks of gas are at the same temperature,293 K.Which statement(s)below is(are)correct when we ignore vibrational motion?

A) The total internal energy of the hydrogen is the same as that of the helium. B) The total internal energy of the hydrogen is 1.4 times that of the helium. C) The total internal energy of the helium is 1.4 times that of the hydrogen. D) The total internal energy of the hydrogen is 1.67 times that of the helium. E) The total internal energy of the helium is 1.67 times that of the hydrogen. A) The total internal energy of the hydrogen is the same as that of the helium. B) The total internal energy of the hydrogen is 1.4 times that of the helium. C) The total internal energy of the helium is 1.4 times that of the hydrogen. D) The total internal energy of the hydrogen is 1.67 times that of the helium. E) The total internal energy of the helium is 1.67 times that of the hydrogen. D

Assume molecules have an average diameter of 3.00 × 10−10 m.How many times larger is the mean free path than the diameter at one atmosphere and 0°C?

A) 500 B) 300 C) 700 D) 1 000 E) 2 500 A) 500 B) 300 C) 700 D) 1 000 E) 2 500

Exam 21: The Kinetic Theory of Gases

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The air in an automobile engine at 20°C is compressed from an initial pressure of 1.0 atm and a volume of 200 cm³ to a volume of 20 cm³.Find the temperature if the air behaves like an ideal gas (γ = 1.4)and the compression is adiabatic.

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Question 1

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During an adiabatic compression,a volume of air decreases to 1/4 its original size.Calculate its final pressure if its original pressure was 1 atm.(Assume the air behaves like an ideal gas with γ = 1.4. )

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Question 2

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Two tanks of gas,one of hydrogen,H₂,and one of helium,He,contain equal numbers of moles of gas.The gram-molecular mass of He is twice that of H₂.Both tanks of gas are at the same temperature,293 K.Which statement(s)below is(are)correct when we ignore vibrational motion?

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The root mean square speed of a gas molecule is greater than the average speed,because the former gives a greater weight to

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Question 4

The molar specific heat at constant volume at 0°C of an ideal diatomic gas is

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Question 5

One mole of helium gas expands adiabatically from 2 atm pressure to 1 atm pressure.If the original temperature of the gas is 20°C,what is the final temperature of the gas? (γ = 1.67)

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Question 6

Nitrogen gas is heated by a pulsed laser to 50 000 K.If the diameter of the nitrogen atoms is assumed to be 1.0 × 10−¹⁰ m,and the pressure is 1.0 atm,what is the mean free path?

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Question 7

If the rms speed of helium atoms is v_rms,He at temperature T,what is the rms speed of CO₂ at the same temperature?

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Question 8

The average kinetic energy of a nitrogen molecule at room temperature (20°C)is

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Question 9

The theorem of equipartition of energy states that the energy each degree of freedom contributes to each molecule in the system (an ideal gas)is

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Question 10

The average molecular translational kinetic energy of a molecule in an ideal gas is

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Question 11

The relation PV = nRT holds for all ideal gases.The additional relation PVγ holds for an adiabatic process.The figure below shows two curves: one is an adiabat and one is an isotherm.Each starts at the same pressure and volume.Which statement is correct? (Note: "∝" means "is proportional to". )

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Question 12

Assume molecules have an average diameter of 3.00 × 10−¹⁰ m.How many times larger is the mean free path than the diameter at one atmosphere and 0°C?

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Question 13

The molar specific heat at constant volume at 0°C of an ideal monatomic gas is

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Question 14

The molar specific heat at constant pressure at 0°C of an ideal monatomic gas is

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Question 15

An ideal gas is allowed to expand adiabatically until its volume increases by 50%.By approximately what factor is the pressure reduced? (γ = 5/3. )

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Question 16

The temperature of a quantity of an ideal gas is

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Question 17

During the volcanic eruption of Mt.Pelee in 1902,an incredibly hot "burning cloud" rolled down the mountain and incinerated the town of Saint-Pierre.From the damage done,the temperature in the cloud was estimated at 700°C.If the air temperature was 20°C and a mole of air is 29 grams,estimate the molecular weight of the gas in the "burning cloud" that made it heavier than the surrounding air.(As a follow-on,estimate the most probable composition of the cloud.Some typical volcanic gases are H₂S,SO₂,H₂SO₄,CO₂,NO. )

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Question 18

If C_P for an ideal gas is 35.4 J/mol⋅K,which of the following is C_V for this gas?

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Question 19

A 50-gram sample of dry ice (solid CO₂)is placed in a 4-liter container.The system is sealed and allowed to reach room temperature (20°C).By approximately how much does the pressure inside the container increase when the dry ice turns to gas? (Ignore the initial volume of the sample. )

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Question 20

Showing 1 - 20 of 38

Exam 21: The Kinetic Theory of Gases

The air in an automobile engine at 20°C is compressed from an initial pressure of 1.0 atm and a volume of 200 cm3 to a volume of 20 cm3.Find the temperature if the air behaves like an ideal gas (γ = 1.4)and the compression is adiabatic.

During an adiabatic compression,a volume of air decreases to 1/4 its original size.Calculate its final pressure if its original pressure was 1 atm.(Assume the air behaves like an ideal gas with γ = 1.4. )

Two tanks of gas,one of hydrogen,H2,and one of helium,He,contain equal numbers of moles of gas.The gram-molecular mass of He is twice that of H2.Both tanks of gas are at the same temperature,293 K.Which statement(s)below is(are)correct when we ignore vibrational motion?

The root mean square speed of a gas molecule is greater than the average speed,because the former gives a greater weight to

The molar specific heat at constant volume at 0°C of an ideal diatomic gas is

One mole of helium gas expands adiabatically from 2 atm pressure to 1 atm pressure.If the original temperature of the gas is 20°C,what is the final temperature of the gas? (γ = 1.67)

Nitrogen gas is heated by a pulsed laser to 50 000 K.If the diameter of the nitrogen atoms is assumed to be 1.0 × 10−10 m,and the pressure is 1.0 atm,what is the mean free path?

If the rms speed of helium atoms is vrms,He at temperature T,what is the rms speed of CO2 at the same temperature?

The average kinetic energy of a nitrogen molecule at room temperature (20°C)is

The theorem of equipartition of energy states that the energy each degree of freedom contributes to each molecule in the system (an ideal gas)is

The average molecular translational kinetic energy of a molecule in an ideal gas is

The relation PV = nRT holds for all ideal gases.The additional relation PVγ holds for an adiabatic process.The figure below shows two curves: one is an adiabat and one is an isotherm.Each starts at the same pressure and volume.Which statement is correct? (Note: "∝" means "is proportional to". )

Assume molecules have an average diameter of 3.00 × 10−10 m.How many times larger is the mean free path than the diameter at one atmosphere and 0°C?

The molar specific heat at constant volume at 0°C of an ideal monatomic gas is

The molar specific heat at constant pressure at 0°C of an ideal monatomic gas is

An ideal gas is allowed to expand adiabatically until its volume increases by 50%.By approximately what factor is the pressure reduced? (γ = 5/3. )

The temperature of a quantity of an ideal gas is

If CP for an ideal gas is 35.4 J/mol⋅K,which of the following is CV for this gas?

A 50-gram sample of dry ice (solid CO2)is placed in a 4-liter container.The system is sealed and allowed to reach room temperature (20°C).By approximately how much does the pressure inside the container increase when the dry ice turns to gas? (Ignore the initial volume of the sample. )

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The air in an automobile engine at 20°C is compressed from an initial pressure of 1.0 atm and a volume of 200 cm³ to a volume of 20 cm³.Find the temperature if the air behaves like an ideal gas (γ = 1.4)and the compression is adiabatic.

Two tanks of gas,one of hydrogen,H₂,and one of helium,He,contain equal numbers of moles of gas.The gram-molecular mass of He is twice that of H₂.Both tanks of gas are at the same temperature,293 K.Which statement(s)below is(are)correct when we ignore vibrational motion?

Nitrogen gas is heated by a pulsed laser to 50 000 K.If the diameter of the nitrogen atoms is assumed to be 1.0 × 10−¹⁰ m,and the pressure is 1.0 atm,what is the mean free path?

If the rms speed of helium atoms is v_rms,He at temperature T,what is the rms speed of CO₂ at the same temperature?

Assume molecules have an average diameter of 3.00 × 10−¹⁰ m.How many times larger is the mean free path than the diameter at one atmosphere and 0°C?

If C_P for an ideal gas is 35.4 J/mol⋅K,which of the following is C_V for this gas?

A 50-gram sample of dry ice (solid CO₂)is placed in a 4-liter container.The system is sealed and allowed to reach room temperature (20°C).By approximately how much does the pressure inside the container increase when the dry ice turns to gas? (Ignore the initial volume of the sample. )