Question 1

One mole of an ideal gas has a volume of 0.0224 m3 and a pressure of 101.3 $\times$ 103 Pa.What is the absolute temperature of the gas?

Accepted Answer

A)  273 K 
B)  325 K 
C)  346 K 
D)  352 K 
E)  376 K 
A)  273 K 
B)  325 K 
C)  346 K 
D)  352 K 
E)  376 K A

Question 2

What is the mass of exactly 1 million helium atoms? The atomic mass of helium is 4.00 u.

Accepted Answer

A)  6.6 $\times$ 10-18 kg 
B)  6.0 $\times$ 10-17 kg 
C)  6.6 $\times$ 10-21 kg 
D)  6.0 $\times$ 10-20 kg 
A)  6.6 $\times$ 10-18 kg 
B)  6.0 $\times$ 10-17 kg 
C)  6.6 $\times$ 10-21 kg 
D)  6.0 $\times$ 10-20 kg C

Question 3

The diffusion constant for water in air is 2.4 $\times$ 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 D

Question 4

A 10.0 liter water bottle is filled to the brim with water when the temperature is 5.00$^{\circ}$C.The bottle is sealed after it is completely filled with water.Water has a coefficient of volume expansion of 207 $\times$ 10-6/$^{\circ}$C and a bulk modulus of 2.20 $\times$ 109 N/m2.If the temperature of the water tank is increased to 30.0$^{\circ}$C,what is the increase in pressure due to the expansion of the water (ignore the expansion of the bottle)?

Accepted Answer

A)  1.01 $\times$ 107 N/m2 
B)  1.14 $\times$ 107 N/m2 
C)  1.75 $\times$ 107 N/m2 
D)  2.01 $\times$ 107 N/m2 
E)  2.73 $\times$ 107 N/m2 
A)  1.01 $\times$ 107 N/m2 
B)  1.14 $\times$ 107 N/m2 
C)  1.75 $\times$ 107 N/m2 
D)  2.01 $\times$ 107 N/m2 
E)  2.73 $\times$ 107 N/m2

Question 5

A sample of helium occupies 44.8 L at STP.What is the mass of the sample?

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

An ideal gas is at a temperature of 40$^{\circ}$C and a pressure of 2.00 atmospheres.If the diameter of an N2 molecule is 0.300 nm,then what is the mean free path of the N2 molecule in the gas?

Accepted Answer

A)  6.02 $\times$ 10-8 m 
B)  5.33 $\times$ 10-8 m 
C)  5.00 $\times$ 10-8 m 
D)  4.75 $\times$ 10-8 m 
E)  4.01 $\times$ 10-8 m 
A)  6.02 $\times$ 10-8 m 
B)  5.33 $\times$ 10-8 m 
C)  5.00 $\times$ 10-8 m 
D)  4.75 $\times$ 10-8 m 
E)  4.01 $\times$ 10-8 m

Question 7

2.00 moles of an ideal gas with a volume of 4.00 liters and a temperature of 0$^{\circ}$C is mixed with 1.00 mole of an ideal gas with a volume of 3.00 liters and a temperature of 100$^{\circ}$C.The volume of the mixture is 5.00 liters.What is the N/V of the mixture?

Accepted Answer

A)  1.98 $\times$ 1026 m-3 
B)  2.02 $\times$ 1026 m-3 
C)  2.56 $\times$ 1026 m-3 
D)  3.61 $\times$ 1026 m-3 
E)  4.00 $\times$ 1026 m-3 
A)  1.98 $\times$ 1026 m-3 
B)  2.02 $\times$ 1026 m-3 
C)  2.56 $\times$ 1026 m-3 
D)  3.61 $\times$ 1026 m-3 
E)  4.00 $\times$ 1026 m-3

Question 8

A sample of CO2 has a mass of 50.0 grams.What is number of molecules of carbon dioxide in the 50.0 gram sample? (C = 12.0u,O = 16.0u)

Accepted Answer

A)  4.02 $\times$ 1023 
B)  4.95 $\times$ 1023 
C)  5.66 $\times$ 1023 
D)  6.02 $\times$ 1023 
E)  6.85 $\times$ 1023 
A)  4.02 $\times$ 1023 
B)  4.95 $\times$ 1023 
C)  5.66 $\times$ 1023 
D)  6.02 $\times$ 1023 
E)  6.85 $\times$ 1023

Question 9

What is the average distance between air molecules at STP?

Accepted Answer

A)  3.34 $\times$ 10-17 
B)  5.67 $\times$ 10-17 
C)  3.85 $\times$ 10-17 
D)  4.33 $\times$ 10-17 
A)  3.34 $\times$ 10-17 
B)  5.67 $\times$ 10-17 
C)  3.85 $\times$ 10-17 
D)  4.33 $\times$ 10-17

Question 10

What is the root mean squared velocity of the helium atom in one mole of an ideal gas at a pressure of 2.00 atmospheres and a temperature of 30$^{\circ}$C? (He = 4u)

Accepted Answer

A)  782 m/s 
B)  846 m/s 
C)  902 m/s 
D)  940 m/s 
E)  1374 m/s 
A)  782 m/s 
B)  846 m/s 
C)  902 m/s 
D)  940 m/s 
E)  1374 m/s

Question 11

An ideal gas is at a pressure of 2.00 atmospheres and a temperature of 35.0$^{\circ}$C.What is the molar density?

Accepted Answer

A)  84.3 moles/m3 
B)  78.9 moles/m3 
C)  70.2 moles/m3 
D)  66.7 moles/m3 
E)  60.4 moles/m3 
A)  84.3 moles/m3 
B)  78.9 moles/m3 
C)  70.2 moles/m3 
D)  66.7 moles/m3 
E)  60.4 moles/m3

Question 12

The mean free path of a molecule is 2.25 $\times$ 10-7 m in an ideal gas at standard temperature and pressure.What is the mean free path when the diameter of the molecule is doubled?

Accepted Answer

A)  0.23 $\times$ 10-7m 
B)  0.45 $\times$ 10-7m 
C)  0.56 $\times$ 10-7m 
D)  0 75 $\times$ 10-7m 
E)  1.13 $\times$ 10-7m 
A)  0.23 $\times$ 10-7m 
B)  0.45 $\times$ 10-7m 
C)  0.56 $\times$ 10-7m 
D)  0 75 $\times$ 10-7m 
E)  1.13 $\times$ 10-7m

Question 13

An ideal gas is at a temperature of 30$^{\circ}$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 $\times$ 1025 m-3 
B)  6.02 $\times$ 1025 m-3 
C)  5.98 $\times$ 1025 m-3 
D)  5.15 $\times$ 1025 m-3 
E)  4.85 $\times$ 1025 m-3 
A)  6.23 $\times$ 1025 m-3 
B)  6.02 $\times$ 1025 m-3 
C)  5.98 $\times$ 1025 m-3 
D)  5.15 $\times$ 1025 m-3 
E)  4.85 $\times$ 1025 m-3

Question 14

If the average kinetic energy of a volume of ideal gas increases,what must be true?

Accepted Answer

A)  the density decreases 
B)  the pressure increases while the temperature stays the same 
C)  the temperature increases while the pressure stays the same 
D)  both the pressure and temperature increase 
A)  the density decreases 
B)  the pressure increases while the temperature stays the same 
C)  the temperature increases while the pressure stays the same 
D)  both the pressure and temperature increase

Question 15

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 $\times$ 10-8 m,then what is the average time between collisions?

Accepted Answer

A)  1.11 $\times$ 10-10 sec 
B)  1.98 $\times$ 10-10 sec 
C)  2.03 $\times$ 10-10 sec 
D)  2.56 $\times$ 10-10 sec 
E)  3.03 $\times$ 10-10 sec 
A)  1.11 $\times$ 10-10 sec 
B)  1.98 $\times$ 10-10 sec 
C)  2.03 $\times$ 10-10 sec 
D)  2.56 $\times$ 10-10 sec 
E)  3.03 $\times$ 10-10 sec

Question 16

An ideal gas has a pressure of 2.5 atm,a volume of 1.0 L at a temperature of 30$^{\circ}$C.How many molecules are there in the gas?

Accepted Answer

A)  6.1 $\times$ 1023 
B)  6.0 $\times$ 1023 
C)  2.4 $\times$ 1023 
D)  2.3 $\times$ 1023 
A)  6.1 $\times$ 1023 
B)  6.0 $\times$ 1023 
C)  2.4 $\times$ 1023 
D)  2.3 $\times$ 1023

Question 17

The mass density of pure water is 1000 kg/m3.If the molecular mass of water is 18.0 u,how many water molecules are in spherical water balloon of radius 1.0 cm?

Accepted Answer

A)  1.0 $\times$ 1023 
B)  2.5 $\times$ 1024 
C)  1.4 $\times$ 1023 
D)  4.2 $\times$ 1023 
A)  1.0 $\times$ 1023 
B)  2.5 $\times$ 1024 
C)  1.4 $\times$ 1023 
D)  4.2 $\times$ 1023

Question 18

If the temperature changes by 15$^{\circ}$C,then what is the change in temperature in Fahrenheit?

Accepted Answer

A)  27$^{\circ}$F 
B)  30$^{\circ}$F 
C)  32$^{\circ}$F 
D)  40$^{\circ}$F 
E)  47$^{\circ}$F 
A)  27$^{\circ}$F 
B)  30$^{\circ}$F 
C)  32$^{\circ}$F 
D)  40$^{\circ}$F 
E)  47$^{\circ}$F

Question 19

A glass thermometer using a thin column of ethyl alcohol at room temperature (293.0 K) is cooled.When the temperature reaches 273.0 K the column of alcohol is 15.50 cm high.How tall was it when the temperature was 293.0 K? The coefficient of volume expansion of mercury is 1120 $\times$ 10-6 K-1.

Accepted Answer

A)  15.85 cm 
B)  15.86 cm 
C)  Cannot answer without knowing the diameter of the column 
D)  15.62 cm 
A)  15.85 cm 
B)  15.86 cm 
C)  Cannot answer without knowing the diameter of the column 
D)  15.62 cm

Question 20

What is the average kinetic energy per particle in 1.00 mole of an ideal gas at a pressure of 1.50 atmospheres and a volume of 2.00 liters?

Accepted Answer

A)  5.35 $\times$ 10-22 J 
B)  6.02 $\times$ 10-22 J 
C)  6.67 $\times$ 10-22 J 
D)  7.57 $\times$ 10-22 J 
E)  8.24 $\times$ 10-22 J 
A)  5.35 $\times$ 10-22 J 
B)  6.02 $\times$ 10-22 J 
C)  6.67 $\times$ 10-22 J 
D)  7.57 $\times$ 10-22 J 
E)  8.24 $\times$ 10-22 J

Exam 13: Temperature and the Ideal Gas

One mole of an ideal gas has a volume of 0.0224 m3 and a pressure of 101.3 ×\times× 103 Pa.What is the absolute temperature of the gas?

What is the mass of exactly 1 million helium atoms? The atomic mass of helium is 4.00 u.

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

A sample of helium occupies 44.8 L at STP.What is the mass of the sample?

An ideal gas is at a temperature of 40 ∘^{\circ}∘ C and a pressure of 2.00 atmospheres.If the diameter of an N2 molecule is 0.300 nm,then what is the mean free path of the N2 molecule in the gas?

2.00 moles of an ideal gas with a volume of 4.00 liters and a temperature of 0 ∘^{\circ}∘ C is mixed with 1.00 mole of an ideal gas with a volume of 3.00 liters and a temperature of 100 ∘^{\circ}∘ C.The volume of the mixture is 5.00 liters.What is the N/V of the mixture?

A sample of CO2 has a mass of 50.0 grams.What is number of molecules of carbon dioxide in the 50.0 gram sample? (C = 12.0u,O = 16.0u)

What is the average distance between air molecules at STP?

What is the root mean squared velocity of the helium atom in one mole of an ideal gas at a pressure of 2.00 atmospheres and a temperature of 30 ∘^{\circ}∘ C? (He = 4u)

An ideal gas is at a pressure of 2.00 atmospheres and a temperature of 35.0 ∘^{\circ}∘ C.What is the molar density?

The mean free path of a molecule is 2.25 ×\times× 10-7 m in an ideal gas at standard temperature and pressure.What is the mean free path when the diameter of the molecule is doubled?

An ideal gas is at a temperature of 30 ∘^{\circ}∘ C and a pressure of 2.00 atmospheres.What is the number of particles per unit volume of the gas?

If the average kinetic energy of a volume of ideal gas increases,what must be true?

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 ×\times× 10-8 m,then what is the average time between collisions?

An ideal gas has a pressure of 2.5 atm,a volume of 1.0 L at a temperature of 30 ∘^{\circ}∘ C.How many molecules are there in the gas?

The mass density of pure water is 1000 kg/m3.If the molecular mass of water is 18.0 u,how many water molecules are in spherical water balloon of radius 1.0 cm?

If the temperature changes by 15 ∘^{\circ}∘ C,then what is the change in temperature in Fahrenheit?

A glass thermometer using a thin column of ethyl alcohol at room temperature (293.0 K) is cooled.When the temperature reaches 273.0 K the column of alcohol is 15.50 cm high.How tall was it when the temperature was 293.0 K? The coefficient of volume expansion of mercury is 1120 ×\times× 10-6 K-1.

What is the average kinetic energy per particle in 1.00 mole of an ideal gas at a pressure of 1.50 atmospheres and a volume of 2.00 liters?

Introduction

Force

Acceleration and Newtons Second Law of Motion

Motion With Constant Acceleration

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Waves

Sound

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Relativity

Early Quantum Physics and the Photon

Quantum Physics

Nuclear Physics

Particle Physics

Filters

One mole of an ideal gas has a volume of 0.0224 m³ and a pressure of 101.3 $\times$ 10³ Pa.What is the absolute temperature of the gas?

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

An ideal gas is at a temperature of 40 $^{\circ}$ C and a pressure of 2.00 atmospheres.If the diameter of an N₂ molecule is 0.300 nm,then what is the mean free path of the N₂ molecule in the gas?

2.00 moles of an ideal gas with a volume of 4.00 liters and a temperature of 0 $^{\circ}$ C is mixed with 1.00 mole of an ideal gas with a volume of 3.00 liters and a temperature of 100 $^{\circ}$ C.The volume of the mixture is 5.00 liters.What is the N/V of the mixture?

A sample of CO₂ has a mass of 50.0 grams.What is number of molecules of carbon dioxide in the 50.0 gram sample? (C = 12.0u,O = 16.0u)

What is the root mean squared velocity of the helium atom in one mole of an ideal gas at a pressure of 2.00 atmospheres and a temperature of 30 $^{\circ}$ C? (He = 4u)

An ideal gas is at a pressure of 2.00 atmospheres and a temperature of 35.0 $^{\circ}$ C.What is the molar density?

The mean free path of a molecule is 2.25 $\times$ 10^-7 m in an ideal gas at standard temperature and pressure.What is the mean free path when the diameter of the molecule is doubled?

An ideal gas is at a temperature of 30 $^{\circ}$ C and a pressure of 2.00 atmospheres.What is the number of particles per unit volume of the gas?

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 $\times$ 10^-8 m,then what is the average time between collisions?

An ideal gas has a pressure of 2.5 atm,a volume of 1.0 L at a temperature of 30 $^{\circ}$ C.How many molecules are there in the gas?

The mass density of pure water is 1000 kg/m³.If the molecular mass of water is 18.0 u,how many water molecules are in spherical water balloon of radius 1.0 cm?

If the temperature changes by 15 $^{\circ}$ C,then what is the change in temperature in Fahrenheit?

A glass thermometer using a thin column of ethyl alcohol at room temperature (293.0 K) is cooled.When the temperature reaches 273.0 K the column of alcohol is 15.50 cm high.How tall was it when the temperature was 293.0 K? The coefficient of volume expansion of mercury is 1120 $\times$ 10^-6 K^-1.