Question 1

The absolute temperature of an ideal gas is directly proportional to the average of which of the following?

Accepted Answer

A)  speed 
B)  momentum 
C)  kinetic energy 
D)  density 
A)  speed 
B)  momentum 
C)  kinetic energy 
D)  density

Question 2

An ideal gas is at a temperature of 60°C and a pressure of 1.50 atmospheres. What is the volume per particle of the gas?

Accepted Answer

A)  2.75 × 10-26 m3 
B)  3.02 × 10-26 m3 
C)  3.98 × 10-26 m3 
D)  4.25 × 10-26 m3 
E)  5.00 × 10-26 m3 
A)  2.75 × 10-26 m3 
B)  3.02 × 10-26 m3 
C)  3.98 × 10-26 m3 
D)  4.25 × 10-26 m3 
E)  5.00 × 10-26 m3

Question 3

A container of volume 2.00 liters contains 2.00 moles of an ideal gas at a pressure of 1.50 atmospheres. What is the average kinetic energy per particle in the gas?

Accepted Answer

A)  3.96 × 10-22 J 
B)  3.78 × 10-22 J 
C)  2.83 × 10-22 J 
D)  2.52 × 10-22 J 
E)  1.98 × 10-22 J 
A)  3.96 × 10-22 J 
B)  3.78 × 10-22 J 
C)  2.83 × 10-22 J 
D)  2.52 × 10-22 J 
E)  1.98 × 10-22 J

Question 4

An ideal gas is at a temperature of 30°C and a pressure of 2.00 atmospheres. What is the number of particles per unit volume of the gas?

Accepted Answer

A)  6.23 × 1025 m-3 
B)  6.02 × 1025 m-3 
C)  5.98 × 1025 m-3 
D)  5.15 × 1025 m-3 
E)  4.85 × 1025 m-3 
A)  6.23 × 1025 m-3 
B)  6.02 × 1025 m-3 
C)  5.98 × 1025 m-3 
D)  5.15 × 1025 m-3 
E)  4.85 × 1025 m-3

Question 5

A sample of helium occupies 44.8 L at standard temperature and pressure (0°C and 1 atm). What is the mass of the sample? The atomic mass of helium is 4.00 u.

Accepted Answer

A)  2.00 g 
B)  4.00 g 
C)  8.00 g 
D)  16.0 g 
A)  2.00 g 
B)  4.00 g 
C)  8.00 g 
D)  16.0 g

Question 6

Two moles of an ideal gas with a volume of 4.00 liters and a temperature of 0°C are mixed with one mole of an ideal gas with a volume of 3.00 liters and a temperature of 100°C. The volume of the mixture is 5.00 liters. What is the number density of the mixture?

Accepted Answer

A)  1.98 × 1026 m-3 
B)  2.02 × 1026 m-3 
C)  2.56 × 1026 m-3 
D)  3.61 × 1026 m-3 
E)  4.00 × 1026 m-3 
A)  1.98 × 1026 m-3 
B)  2.02 × 1026 m-3 
C)  2.56 × 1026 m-3 
D)  3.61 × 1026 m-3 
E)  4.00 × 1026 m-3

Question 7

The mean free path of a molecule is 2.25 × 10-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the pressure of the gas is doubled and the temperature is tripled?

Accepted Answer

A)  0.75 × 10-7 m 
B)  1.13 × 10-7 m 
C)  2.25 × 10-7 m 
D)  3.38 × 10-7 m 
E)  3.75 × 10-7 m 
A)  0.75 × 10-7 m 
B)  1.13 × 10-7 m 
C)  2.25 × 10-7 m 
D)  3.38 × 10-7 m 
E)  3.75 × 10-7 m

Question 8

147.5 ml of ethyl alcohol (coefficient of volume expansion β = 1,120 x 10−6 K−1), at a temperature of 273.1 K, is poured into a 150.0 ml glass beaker (whose coefficient of volume expansion is negligible by comparison). To what temperature does the beaker have to be warmed for it to be completely full (i.e., for the volume of the alcohol to reach 150.0 ml)?

Accepted Answer

A)  288.0 K 
B)  278.1 K 
C)  283.1 K 
D)  288.2 K 
A)  288.0 K 
B)  278.1 K 
C)  283.1 K 
D)  288.2 K

Question 9

The mean free path of a molecule is 2.25 × 10-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the diameter of the molecule is doubled?

Accepted Answer

A)  0.23 × 10-7 m 
B)  0.45 × 10-7 m 
C)  0.56 × 10-7 m 
D)  0.75 × 10-7 m 
E)  1.13 × 10-7 m 
A)  0.23 × 10-7 m 
B)  0.45 × 10-7 m 
C)  0.56 × 10-7 m 
D)  0.75 × 10-7 m 
E)  1.13 × 10-7 m

Question 10

The diffusion constant for water in air is 2.4 × 10−5 m2/s. How long would it take a water molecule to diffuse a distance of 10.0 meters?

Accepted Answer

A)  400 hours 
B)  450 hours 
C)  500 hours 
D)  580 hours 
E)  600 hours 
A)  400 hours 
B)  450 hours 
C)  500 hours 
D)  580 hours 
E)  600 hours

Question 11

A sample of an ideal gas has a volume of 0.0100 m3, a pressure of 100 × 103 Pa, and a temperature of 300 K. What is the number of moles in the sample of gas?

Accepted Answer

A)  0.302 
B)  0.330 
C)  0.375 
D)  0.401 
E)  0.502 
A)  0.302 
B)  0.330 
C)  0.375 
D)  0.401 
E)  0.502

Question 12

One mole of carbon-12 has a mass of 12.00 grams. What is the mass of a 12C atom?

Accepted Answer

A)  1.244 × 10−26 kg 
B)  1.993 × 10−26 kg 
C)  2.032 × 10−26 kg 
D)  2.440 × 10−26 kg 
E)  3.000 × 10−26 kg 
A)  1.244 × 10−26 kg 
B)  1.993 × 10−26 kg 
C)  2.032 × 10−26 kg 
D)  2.440 × 10−26 kg 
E)  3.000 × 10−26 kg

Question 13

Compare two 1.0 L gas samples-one of hydrogen (molecular mass 2.0 u) and one of oxygen (molecular mass 32.0 u). Each sample contains the same number of molecules and is at the same pressure. What is the ratio of temperatures of the oxygen sample to the hydrogen sample?

Accepted Answer

A)  1/16 
B)  1/4 
C)  16 
D)  4 
E)  1 
A)  1/16 
B)  1/4 
C)  16 
D)  4 
E)  1

Question 14

A brass plate measures 30.0 cm by 40.0 cm. The coefficient of linear thermal expansion is 19.0 × 10−6/°C. If the temperature of the plate is increased by 10.0 K, then what is the increase in the area of the plate?

Accepted Answer

A)  0.350 cm2 
B)  0.404 cm2 
C)  0.456 cm2 
D)  0.502 cm2 
E)  0.555% 
A)  0.350 cm2 
B)  0.404 cm2 
C)  0.456 cm2 
D)  0.502 cm2 
E)  0.555%

Question 15

The total kinetic energy in one mole of an ideal gas is 4,000 J. What is the average kinetic energy of an individual particle in the ideal gas?

Accepted Answer

A)  6.64 × 10-21 J 
B)  5.03 × 10-21 J 
C)  4.86 × 10-21 J 
D)  4.04 × 10-21 J 
E)  3.78 × 10-21 J 
A)  6.64 × 10-21 J 
B)  5.03 × 10-21 J 
C)  4.86 × 10-21 J 
D)  4.04 × 10-21 J 
E)  3.78 × 10-21 J

Question 16

A molecule takes 3.0 seconds to diffuse across a membrane. If the thickness of the membrane is doubled, then how long does it take the molecule to diffuse across the thicker membrane?

Accepted Answer

A)  30 s 
B)  24 s 
C)  20 s 
D)  18 s 
E)  12 s 
A)  30 s 
B)  24 s 
C)  20 s 
D)  18 s 
E)  12 s

Question 17

The reaction rate of a chemical reaction doubles when the temperature increases from 10°C to 50°C. What is the activation energy?

Accepted Answer

A)  3.85 × 10−20 J 
B)  3.33 × 10−20 J 
C)  2.98 × 10−20 J 
D)  2.19 × 10−20 J 
E)  1.76 × 10−20 J 
A)  3.85 × 10−20 J 
B)  3.33 × 10−20 J 
C)  2.98 × 10−20 J 
D)  2.19 × 10−20 J 
E)  1.76 × 10−20 J

Question 18

A molecule in an ideal gas has an rms velocity 450 m/s. If the mean free path of the particle in the gas is 5.00 × 10-8 m, then what is the average time between collisions?

Accepted Answer

A)  1.11 × 10-10 sec 
B)  1.98 × 10-10 sec 
C)  2.03 × 10-10 sec 
D)  2.56 × 10-10 sec 
E)  3.03 × 10-10 sec 
A)  1.11 × 10-10 sec 
B)  1.98 × 10-10 sec 
C)  2.03 × 10-10 sec 
D)  2.56 × 10-10 sec 
E)  3.03 × 10-10 sec

Question 19

The mean free path for a nitrogen molecule in a tank of dry nitrogen at 273 K is 0.15 µm. If the diameter of a nitrogen molecule is 0.29 nm, what is the pressure in the tank?

Accepted Answer

A)  95.1 kPa 
B)  48.0 kPa 
C)  211 kPa 
D)  299 kPa 
E)  67.2 kPa 
A)  95.1 kPa 
B)  48.0 kPa 
C)  211 kPa 
D)  299 kPa 
E)  67.2 kPa

Question 20

An ideal gas is at a pressure of 2.0 atmospheres and a temperature of 35°C. What is the molar density?

Accepted Answer

A)  84 mol/m3 
B)  79 mol/m3 
C)  70 mol/m3 
D)  67 mol/m3 
E)  60 mol/m3 
A)  84 mol/m3 
B)  79 mol/m3 
C)  70 mol/m3 
D)  67 mol/m3 
E)  60 mol/m3

Exam 13: Temperature and the Ideal Gas

The absolute temperature of an ideal gas is directly proportional to the average of which of the following?

An ideal gas is at a temperature of 60°C and a pressure of 1.50 atmospheres. What is the volume per particle of the gas?

A container of volume 2.00 liters contains 2.00 moles of an ideal gas at a pressure of 1.50 atmospheres. What is the average kinetic energy per particle in the gas?

An ideal gas is at a temperature of 30°C and a pressure of 2.00 atmospheres. What is the number of particles per unit volume of the gas?

A sample of helium occupies 44.8 L at standard temperature and pressure (0°C and 1 atm). What is the mass of the sample? The atomic mass of helium is 4.00 u.

Two moles of an ideal gas with a volume of 4.00 liters and a temperature of 0°C are mixed with one mole of an ideal gas with a volume of 3.00 liters and a temperature of 100°C. The volume of the mixture is 5.00 liters. What is the number density of the mixture?

The mean free path of a molecule is 2.25 × 10-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the pressure of the gas is doubled and the temperature is tripled?

The mean free path of a molecule is 2.25 × 10-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the diameter of the molecule is doubled?

The diffusion constant for water in air is 2.4 × 10−5 m2/s. How long would it take a water molecule to diffuse a distance of 10.0 meters?

A sample of an ideal gas has a volume of 0.0100 m3, a pressure of 100 × 103 Pa, and a temperature of 300 K. What is the number of moles in the sample of gas?

One mole of carbon-12 has a mass of 12.00 grams. What is the mass of a 12C atom?

Compare two 1.0 L gas samples-one of hydrogen (molecular mass 2.0 u) and one of oxygen (molecular mass 32.0 u). Each sample contains the same number of molecules and is at the same pressure. What is the ratio of temperatures of the oxygen sample to the hydrogen sample?

A brass plate measures 30.0 cm by 40.0 cm. The coefficient of linear thermal expansion is 19.0 × 10−6/°C. If the temperature of the plate is increased by 10.0 K, then what is the increase in the area of the plate?

The total kinetic energy in one mole of an ideal gas is 4,000 J. What is the average kinetic energy of an individual particle in the ideal gas?

A molecule takes 3.0 seconds to diffuse across a membrane. If the thickness of the membrane is doubled, then how long does it take the molecule to diffuse across the thicker membrane?

The reaction rate of a chemical reaction doubles when the temperature increases from 10°C to 50°C. What is the activation energy?

A molecule in an ideal gas has an rms velocity 450 m/s. If the mean free path of the particle in the gas is 5.00 × 10-8 m, then what is the average time between collisions?

The mean free path for a nitrogen molecule in a tank of dry nitrogen at 273 K is 0.15 µm. If the diameter of a nitrogen molecule is 0.29 nm, what is the pressure in the tank?

An ideal gas is at a pressure of 2.0 atmospheres and a temperature of 35°C. What is the molar density?

Introduction

Motion Along a Line

Motion in a Plane

Force and Newtons Laws of Motion

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

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Waves

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Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

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Reflection and Refraction of Light

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Relativity

Early Quantum Physics and the Photon

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The mean free path of a molecule is 2.25 × 10^-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the pressure of the gas is doubled and the temperature is tripled?

The mean free path of a molecule is 2.25 × 10^-7 m in an ideal gas at standard temperature and pressure (0°C and 1 atm). What is the mean free path if the diameter of the molecule is doubled?

The diffusion constant for water in air is 2.4 × 10⁻⁵ m²/s. How long would it take a water molecule to diffuse a distance of 10.0 meters?

A sample of an ideal gas has a volume of 0.0100 m³, a pressure of 100 × 10³ Pa, and a temperature of 300 K. What is the number of moles in the sample of gas?

One mole of carbon-12 has a mass of 12.00 grams. What is the mass of a ¹²C atom?

A brass plate measures 30.0 cm by 40.0 cm. The coefficient of linear thermal expansion is 19.0 × 10⁻⁶/°C. If the temperature of the plate is increased by 10.0 K, then what is the increase in the area of the plate?

A molecule in an ideal gas has an rms velocity 450 m/s. If the mean free path of the particle in the gas is 5.00 × 10^-8 m, then what is the average time between collisions?