Question 1

A 24.0-L tank contains ideal helium gas at 27°C and a pressure of 22.0 atm.How many moles of gas are in the tank? (R = 8.31 J/mol ∙ K,1 atm = 101 kPa)

Accepted Answer

A) 238 mol 
B) 138 mol 
C) 17.5 mol 
D) 21.4 mol 
E) 76.0 mol 
A) 238 mol 
B) 138 mol 
C) 17.5 mol 
D) 21.4 mol 
E) 76.0 mol

Question 2

The molecular weight of nitrogen,N2,is 28 g/mol.What is the rms speed of nitrogen molecules in a cooler at 8.0°C? The Boltzmann constant is 1.38 × 10-23 J/K and NA = 6.022 × 1023 molecules/mol.

Accepted Answer

A) 450 m/s 
B) 500 m/s 
C) 550 m/s 
D) 600 m/s 
E) 650 m/s 
A) 450 m/s 
B) 500 m/s 
C) 550 m/s 
D) 600 m/s 
E) 650 m/s

Question 3

At what temperature is the rms speed of hydrogen molecules,H2,which have a molecular weight of 2.02 g/mole,equal to 2.0 km/s? The Boltzmann constant is 1.38 × 10-23 J/K and NA = 6.022 × 1023 molecules/mol.

Accepted Answer

A) 17°C 
B) 34°C 
C) 51°C 
D) 68°C 
E) 72°C 
A) 17°C 
B) 34°C 
C) 51°C 
D) 68°C 
E) 72°C

Question 4

The rms speed of a certain sample of carbon dioxide molecules,with a molecular weight of 44.0 g/mole,is 396 m/s.What is the rms speed of water vapor molecules,with a molecular weight of 18.0 g/mol,at the same temperature as the carbon dioxide?

Accepted Answer

A) 253 m/s 
B) 387 m/s 
C) 421 m/s 
D) 506 m/s 
E) 619 m/s 
A) 253 m/s 
B) 387 m/s 
C) 421 m/s 
D) 506 m/s 
E) 619 m/s

Question 5

A 1200-kg car is supported equally by the four tires,which are inflated to the same gauge pressure.What gauge pressure is required so the area of contact of each tire with the road is 100 cm2?

Accepted Answer

A) 12 × 105 Pa 
B) 12 × 104 Pa 
C) 2.9 × 105 Pa 
D) 2.9 × 104 Pa 
A) 12 × 105 Pa 
B) 12 × 104 Pa 
C) 2.9 × 105 Pa 
D) 2.9 × 104 Pa

Question 6

At what temperature would the root-mean-square speed of hydrogen,H2,molecules equal 11.2 km/s (the earth's escape speed)? The mass of a hydrogen atom is 1.67 × 10-27 kg,and the Boltzmann constant is 1.38 × 10-23 J/K.

Accepted Answer

A) 1.01 × 102 K 
B) 1.01 × 104 K 
C) 1.01 × 106 K 
D) 1.01 × 108 K 
A) 1.01 × 102 K 
B) 1.01 × 104 K 
C) 1.01 × 106 K 
D) 1.01 × 108 K

Question 7

A sealed cylinder fitted with a movable piston contains ideal gas at 27°C,pressure 0.500 × 105 Pa,and volume 1.25 m3.What will be the final temperature if the gas is compressed to 0.800 m3 and the pressure rises to 0.820 × 105 Pa?

Accepted Answer

A) 42°C 
B) 68°C 
C) 130°C 
D) 250°C 
E) 150°C 
A) 42°C 
B) 68°C 
C) 130°C 
D) 250°C 
E) 150°C

Question 8

Under standard conditions,the density of air is 1.29 kg/m3.What is the mass of the air inside a room measuring 4.0 m × 3.0 m × 2.0 m?

Accepted Answer

A) 0.32 kg 
B) 3.1 kg 
C) 31 kg 
D) 1.9 kg 
E) 19 kg 
A) 0.32 kg 
B) 3.1 kg 
C) 31 kg 
D) 1.9 kg 
E) 19 kg

Question 9

How many molecules are in (a)1.0 cm3 of air at STP and (b)1.0 cm3 of helium at STP? (R = 8.31 J/mol ∙ K,NA = 6.022 × 1023 molecules/mol)

Accepted Answer

2.7 × 10¹⁹ m

Question 10

What is the average translational kinetic energy of a nitrogen molecule in the air in a room in which the air temperature is 17°C? The Boltzmann constant is 1.38 × 10-23 J/K.

Accepted Answer

A) 6.01 × 10-21 J 
B) 4.00 × 10-21 J 
C) 5.00 × 10-21 J 
D) 7.00 × 10-21 J 
E) 9.00 × 10-21 J 
A) 6.01 × 10-21 J 
B) 4.00 × 10-21 J 
C) 5.00 × 10-21 J 
D) 7.00 × 10-21 J 
E) 9.00 × 10-21 J

Question 11

Nitrogen boils at -196°C.What is the corresponding temperature in the Fahrenheit scale?

Accepted Answer

A) -315°F 
B) -196°F 
C) -346°F 
D) -290°F 
E) -321°F 
A) -315°F 
B) -196°F 
C) -346°F 
D) -290°F 
E) -321°F

Question 12

A certain automobile tire has a volume of 0.0185 m3.If the absolute (or total)pressure in the tire is 500 kPa and the temperature is 298 K,how many molecules are there inside the tire? (R = 8.31 J/mol ∙ K,NA = 6.022 x 1023 molecules/mol)

Accepted Answer

A) 2.25 × 1023 molecules 
B) 2.25 × 1024 molecules 
C) 3.25 × 1023 molecules 
D) 3.25 × 1024 molecules 
E) 3.25 × 1025 molecules 
A) 2.25 × 1023 molecules 
B) 2.25 × 1024 molecules 
C) 3.25 × 1023 molecules 
D) 3.25 × 1024 molecules 
E) 3.25 × 1025 molecules

Question 13

Your lungs hold 4.2 L of air at a temperature of 27°C and a pressure of 101.3 kPa.How many moles of air do your lungs hold? (R = 8.31 J/mol ∙ K)

Accepted Answer

A) 0.15 moles 
B) 0.17 moles 
C) 0.19 moles 
D) 0.21 moles 
E) 0.23 moles 
A) 0.15 moles 
B) 0.17 moles 
C) 0.19 moles 
D) 0.21 moles 
E) 0.23 moles

Question 14

A weather balloon containing 2.0 m3 of hydrogen gas rises from a location at which the temperature is 22°C and the pressure is 101 kPa to a location where the temperature is -39°C and the pressure is 20 kPa.If the balloon is free to expand so that the pressure of the gas inside is equal to the ambient pressure,what is the new volume of the balloon?

Accepted Answer

A) 4.0 m3 
B) 6.0 m3 
C) 8.0 m3 
D) 10 m3 
E) 12 m3 
A) 4.0 m3 
B) 6.0 m3 
C) 8.0 m3 
D) 10 m3 
E) 12 m3

Question 15

A round coin has a diameter of 19.55 mm,a thickness of 1.55 mm,and a mass of 2.50 g.What is its density?

Accepted Answer

A) 5.37 × 103 kg/m3 
B) 21.5 × 103 kg/m3 
C) 1.34 × 103 kg/m3 
D) 2.68 × 103 kg/m3 
E) 1.86 × 10-4 kg/m3 
A) 5.37 × 103 kg/m3 
B) 21.5 × 103 kg/m3 
C) 1.34 × 103 kg/m3 
D) 2.68 × 103 kg/m3 
E) 1.86 × 10-4 kg/m3

Question 16

A temperature change of 20 C° corresponds to a Fahrenheit temperature change of

Accepted Answer

A) 68 F°. 
B) 11 F°. 
C) 36 F°. 
D) 18 F°. 
A) 68 F°. 
B) 11 F°. 
C) 36 F°. 
D) 18 F°.

Question 17

A 20.0-L pressure vessel holds 2.00 mol of oxygen at 30°C.What is the pressure inside the vessel? (R = 8.31 J/mol ∙ K)

Accepted Answer

A) 101 Pa 
B) 101 kPa 
C) 1.01 MPa 
D) 2.52 MPa 
E) 252 kPa 
A) 101 Pa 
B) 101 kPa 
C) 1.01 MPa 
D) 2.52 MPa 
E) 252 kPa

Question 18

A laboratory vacuum pump can reduce the pressure in a chamber to 1.0 × 10-7 Pa.If the volume of the chamber is 0.500 m3 and the temperature is 27°C,how many molecules are left inside the chamber? (NA = 6.022 × 1023 molecules/mol,R = 8.31 J/mol ∙ K)

Accepted Answer

A) 1.2 × 1013 
B) 2.4 × 1013 
C) 1.2 × 1012 
D) 2.4 × 1012 
E) 1.2 × 1014 
A) 1.2 × 1013 
B) 2.4 × 1013 
C) 1.2 × 1012 
D) 2.4 × 1012 
E) 1.2 × 1014

Question 19

A sealed container holds 0.020 moles of ideal nitrogen (N2)gas,at a pressure of 1.5 atm and a temperature of 290 K.The atomic mass of nitrogen is 14.0 g/mol.What is the average translational kinetic energy of a nitrogen molecule? The Boltzmann constant is 1.38 × 10-23 J/K.

Accepted Answer

A) 4.0 ×1021 J 
B) 6.0 ×1021 J 
C) 8.0 ×1021 J 
D) 10 ×1021 J 
E) 12 ×1021 J 
A) 4.0 ×1021 J 
B) 6.0 ×1021 J 
C) 8.0 ×1021 J 
D) 10 ×1021 J 
E) 12 ×1021 J

Question 20

An ideal gas has a pressure of 2.5 atm,a volume of 1.0 L at a temperature of 30°C.How many molecules are there in this gas? (R = 8.31 J/mol ∙ K,1.00 atm = 101 kPa,NA = 6.022 × 1023)

Accepted Answer

A) 6.1 × 1023 
B) 6.0 × 1022 
C) 2.4 × 1022 
D) 2.3 × 1023 
A) 6.1 × 1023 
B) 6.0 × 1022 
C) 2.4 × 1022 
D) 2.3 × 1023

Exam 10: Gases

A 24.0-L tank contains ideal helium gas at 27°C and a pressure of 22.0 atm.How many moles of gas are in the tank? (R = 8.31 J/mol ∙ K,1 atm = 101 kPa)

The molecular weight of nitrogen,N2,is 28 g/mol.What is the rms speed of nitrogen molecules in a cooler at 8.0°C? The Boltzmann constant is 1.38 × 10-23 J/K and NA = 6.022 × 1023 molecules/mol.

At what temperature is the rms speed of hydrogen molecules,H2,which have a molecular weight of 2.02 g/mole,equal to 2.0 km/s? The Boltzmann constant is 1.38 × 10-23 J/K and NA = 6.022 × 1023 molecules/mol.

The rms speed of a certain sample of carbon dioxide molecules,with a molecular weight of 44.0 g/mole,is 396 m/s.What is the rms speed of water vapor molecules,with a molecular weight of 18.0 g/mol,at the same temperature as the carbon dioxide?

A 1200-kg car is supported equally by the four tires,which are inflated to the same gauge pressure.What gauge pressure is required so the area of contact of each tire with the road is 100 cm2?

At what temperature would the root-mean-square speed of hydrogen,H2,molecules equal 11.2 km/s (the earth's escape speed)? The mass of a hydrogen atom is 1.67 × 10-27 kg,and the Boltzmann constant is 1.38 × 10-23 J/K.

A sealed cylinder fitted with a movable piston contains ideal gas at 27°C,pressure 0.500 × 105 Pa,and volume 1.25 m3.What will be the final temperature if the gas is compressed to 0.800 m3 and the pressure rises to 0.820 × 105 Pa?

Under standard conditions,the density of air is 1.29 kg/m3.What is the mass of the air inside a room measuring 4.0 m × 3.0 m × 2.0 m?

How many molecules are in (a)1.0 cm3 of air at STP and (b)1.0 cm3 of helium at STP? (R = 8.31 J/mol ∙ K,NA = 6.022 × 1023 molecules/mol)

What is the average translational kinetic energy of a nitrogen molecule in the air in a room in which the air temperature is 17°C? The Boltzmann constant is 1.38 × 10-23 J/K.

Nitrogen boils at -196°C.What is the corresponding temperature in the Fahrenheit scale?

A certain automobile tire has a volume of 0.0185 m3.If the absolute (or total)pressure in the tire is 500 kPa and the temperature is 298 K,how many molecules are there inside the tire? (R = 8.31 J/mol ∙ K,NA = 6.022 x 1023 molecules/mol)

Your lungs hold 4.2 L of air at a temperature of 27°C and a pressure of 101.3 kPa.How many moles of air do your lungs hold? (R = 8.31 J/mol ∙ K)

A round coin has a diameter of 19.55 mm,a thickness of 1.55 mm,and a mass of 2.50 g.What is its density?

A temperature change of 20 C° corresponds to a Fahrenheit temperature change of

A 20.0-L pressure vessel holds 2.00 mol of oxygen at 30°C.What is the pressure inside the vessel? (R = 8.31 J/mol ∙ K)

A laboratory vacuum pump can reduce the pressure in a chamber to 1.0 × 10-7 Pa.If the volume of the chamber is 0.500 m3 and the temperature is 27°C,how many molecules are left inside the chamber? (NA = 6.022 × 1023 molecules/mol,R = 8.31 J/mol ∙ K)

A sealed container holds 0.020 moles of ideal nitrogen (N2)gas,at a pressure of 1.5 atm and a temperature of 290 K.The atomic mass of nitrogen is 14.0 g/mol.What is the average translational kinetic energy of a nitrogen molecule? The Boltzmann constant is 1.38 × 10-23 J/K.

An ideal gas has a pressure of 2.5 atm,a volume of 1.0 L at a temperature of 30°C.How many molecules are there in this gas? (R = 8.31 J/mol ∙ K,1.00 atm = 101 kPa,NA = 6.022 × 1023)

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

Circular Motion

Impulse and Linear Momentum

Work and Energy

Extended Bodies at Rest

Rotational Motion

Static Fluids

Fluids in Motion

First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge force and Energy

The Electric Field

Dc Circuits

Magnetism

Electromagnetic Induction

Vibrational Motion

Mechanical Waves

Reflection and Refraction

Mirrors and Lenses

Wave Optics

Electromagnetic Waves

Special Relativity

Quantum Optics

Atomic Physics

Nuclear Physics

Particle Physics

Filters

The molecular weight of nitrogen,N₂,is 28 g/mol.What is the rms speed of nitrogen molecules in a cooler at 8.0°C? The Boltzmann constant is 1.38 × 10^-23 J/K and N_A = 6.022 × 10²³ molecules/mol.

At what temperature is the rms speed of hydrogen molecules,H₂,which have a molecular weight of 2.02 g/mole,equal to 2.0 km/s? The Boltzmann constant is 1.38 × 10^-23 J/K and N_A = 6.022 × 10²³ molecules/mol.

A 1200-kg car is supported equally by the four tires,which are inflated to the same gauge pressure.What gauge pressure is required so the area of contact of each tire with the road is 100 cm²?

At what temperature would the root-mean-square speed of hydrogen,H₂,molecules equal 11.2 km/s (the earth's escape speed)? The mass of a hydrogen atom is 1.67 × 10^-27kg,and the Boltzmann constant is 1.38 × 10^-23 J/K.

A sealed cylinder fitted with a movable piston contains ideal gas at 27°C,pressure 0.500 × 10⁵ Pa,and volume 1.25 m³.What will be the final temperature if the gas is compressed to 0.800 m³ and the pressure rises to 0.820 × 10⁵ Pa?

Under standard conditions,the density of air is 1.29 kg/m³.What is the mass of the air inside a room measuring 4.0 m × 3.0 m × 2.0 m?

How many molecules are in (a)1.0 cm³ of air at STP and (b)1.0 cm³ of helium at STP? (R = 8.31 J/mol ∙ K,N_A = 6.022 × 10²³ molecules/mol)

What is the average translational kinetic energy of a nitrogen molecule in the air in a room in which the air temperature is 17°C? The Boltzmann constant is 1.38 × 10^-23 J/K.

A certain automobile tire has a volume of 0.0185 m³.If the absolute (or total)pressure in the tire is 500 kPa and the temperature is 298 K,how many molecules are there inside the tire? (R = 8.31 J/mol ∙ K,N_A = 6.022 x 10²³ molecules/mol)

A laboratory vacuum pump can reduce the pressure in a chamber to 1.0 × 10^-7 Pa.If the volume of the chamber is 0.500 m³ and the temperature is 27°C,how many molecules are left inside the chamber? (N_A = 6.022 × 10²³ molecules/mol,R = 8.31 J/mol ∙ K)

A sealed container holds 0.020 moles of ideal nitrogen (N₂)gas,at a pressure of 1.5 atm and a temperature of 290 K.The atomic mass of nitrogen is 14.0 g/mol.What is the average translational kinetic energy of a nitrogen molecule? The Boltzmann constant is 1.38 × 10^-23 J/K.

An ideal gas has a pressure of 2.5 atm,a volume of 1.0 L at a temperature of 30°C.How many molecules are there in this gas? (R = 8.31 J/mol ∙ K,1.00 atm = 101 kPa,N_A = 6.022 × 10²³)