Question 1

At what approximate temperature would the rms speed of $\mathrm{H}_{2}$ molecules equal the Earth's escape speed $(11,200 \mathrm{~m} / \mathrm{s})$ ?

Accepted Answer

A)  $10^{8} \mathrm{~K}$ 
B)  $102 \mathrm{~K}$ 
C)  $106 \mathrm{~K}$ 
D)  $104 \mathrm{~K}$ 
A)  $10^{8} \mathrm{~K}$ 
B)  $102 \mathrm{~K}$ 
C)  $106 \mathrm{~K}$ 
D)  $104 \mathrm{~K}$

Question 2

A $50.00 \mathrm{ml}$ sample of mercury at room temperature $(293.0 \mathrm{~K})$ is cooled. What is the volume of the sample when the mercury reaches $273.0 \mathrm{~K}$ ? The coefficient of volume expansion of mercury is $182.0 \times 10^{-6} \mathrm{~K}^{-1}$.

Accepted Answer

A)  $49.82 \mathrm{ml}$ 
B)  $49.96 \mathrm{ml}$ 
C)  $49.94 \mathrm{ml}$ 
D)  $48.18 \mathrm{ml}$ 
E)  $49.39 \mathrm{ml}$ 
A)  $49.82 \mathrm{ml}$ 
B)  $49.96 \mathrm{ml}$ 
C)  $49.94 \mathrm{ml}$ 
D)  $48.18 \mathrm{ml}$ 
E)  $49.39 \mathrm{ml}$

Question 3

What are the dimensions of the diffusion constant?

Accepted Answer

A)  $\mathrm{m}^{2} / \mathrm{s}$ 
B)  $\mathrm{m} / \mathrm{s}^{2}$ 
C)  $\mathrm{m}^{3 / \mathrm{s}^{2}}$ 
D)  $\mathrm{m} / \mathrm{s} 3$ 
E)  $\mathrm{m}^{3 / \mathrm{s}}$ 
A)  $\mathrm{m}^{2} / \mathrm{s}$ 
B)  $\mathrm{m} / \mathrm{s}^{2}$ 
C)  $\mathrm{m}^{3 / \mathrm{s}^{2}}$ 
D)  $\mathrm{m} / \mathrm{s} 3$ 
E)  $\mathrm{m}^{3 / \mathrm{s}}$

Question 4

What is the mass of exactly 1 million helium atoms? The atomic mass of helium is $4.00 \mathrm{u}$.

Accepted Answer

A)  $6.6 \times 10^{-21} \mathrm{~kg}$ 
B)  $6.0 \times 10^{-17} \mathrm{~kg}$ 
C)  $6.6 \times 10^{-18} \mathrm{~kg}$ 
D)  $6.0 \times 10^{-20} \mathrm{~kg}$ 
A)  $6.6 \times 10^{-21} \mathrm{~kg}$ 
B)  $6.0 \times 10^{-17} \mathrm{~kg}$ 
C)  $6.6 \times 10^{-18} \mathrm{~kg}$ 
D)  $6.0 \times 10^{-20} \mathrm{~kg}$

Question 5

An ideal gas composed of a mixture of oxygen and nitrogen is at a pressure of 1.50 atmospheres and a temperature of $25.0^{\circ} \mathrm{C}$. What is the molar density?

Accepted Answer

A)  $40.0 \mathrm{~mol} / \mathrm{m}^{3}$ 
B)  $55.5 \mathrm{~mol} / \mathrm{m}^{3}$ 
C)  $79.3 \mathrm{~mol} / \mathrm{m}^{3}$ 
D)  $47.6 \mathrm{~mol} / \mathrm{m}^{3}$ 
E)  $61.3 \mathrm{~mol} / \mathrm{m}^{3}$ 
A)  $40.0 \mathrm{~mol} / \mathrm{m}^{3}$ 
B)  $55.5 \mathrm{~mol} / \mathrm{m}^{3}$ 
C)  $79.3 \mathrm{~mol} / \mathrm{m}^{3}$ 
D)  $47.6 \mathrm{~mol} / \mathrm{m}^{3}$ 
E)  $61.3 \mathrm{~mol} / \mathrm{m}^{3}$

Question 6

The mean free path of a molecule is $2.25 \times 10^{-7} \mathrm{~m}$ in an ideal gas at standard temperature and pressure $\left(0^{\circ} \mathrm{C}\right.$ and $1 \mathrm{~atm})$. What is the mean free path if the diameter of the molecule is doubled?

Accepted Answer

A)  $0.56 \times 10^{-7} \mathrm{~m}$ 
B)  $0.45 \times 10^{-7} \mathrm{~m}$ 
C)  $0.75 \times 10^{-7} \mathrm{~m}$ 
D)  $1.13 \times 10^{-7} \mathrm{~m}$ 
E)  $0.23 \times 10^{-7} \mathrm{~m}$ 
A)  $0.56 \times 10^{-7} \mathrm{~m}$ 
B)  $0.45 \times 10^{-7} \mathrm{~m}$ 
C)  $0.75 \times 10^{-7} \mathrm{~m}$ 
D)  $1.13 \times 10^{-7} \mathrm{~m}$ 
E)  $0.23 \times 10^{-7} \mathrm{~m}$

Question 7

Two moles of an ideal gas with a volume of 4.00 liters and a temperature of $0^{\circ} \mathrm{C}$ are mixed with one mole of an ideal gas with a volume of 3.00 liters and a temperature of $100^{\circ} \mathrm{C}$. The volume of the mixture is 5.00 liters. What is the number density of the mixture?

Accepted Answer

A)  $3.61 \times 10^{26} \mathrm{~m}^{-3}$ 
B)  $1.98 \times 10^{26} \mathrm{~m}^{-3}$ 
C)  $2.02 \times 10^{26} \mathrm{~m}^{-3}$ 
D)  $4.00 \times 10^{26} \mathrm{~m}^{-3}$ 
E)  $2.56 \times 10^{26} \mathrm{~m}^{-3}$ 
A)  $3.61 \times 10^{26} \mathrm{~m}^{-3}$ 
B)  $1.98 \times 10^{26} \mathrm{~m}^{-3}$ 
C)  $2.02 \times 10^{26} \mathrm{~m}^{-3}$ 
D)  $4.00 \times 10^{26} \mathrm{~m}^{-3}$ 
E)  $2.56 \times 10^{26} \mathrm{~m}^{-3}$

Question 8

A 40.0 liter gas tank is filled to the brim with gasoline when the temperature is $5.00^{\circ} \mathrm{C}$. Gasoline has a coefficient of volume expansion of $950 \times 10^{-6} /{ }^{\circ} \mathrm{C}$. If the gas tank is moved into the sun of a hot summer day, the temperature of the gas tank is increased to $60.0^{\circ} \mathrm{C}$. What is the volume of gasoline that overflows the tank (ignore the expansion of the gas tank)?

Accepted Answer

A)  1.55 liters 
B)  3.11 liters 
C)  2.67 liters 
D)  2.09 liters 
E)  3.95 liters 
A)  1.55 liters 
B)  3.11 liters 
C)  2.67 liters 
D)  2.09 liters 
E)  3.95 liters

Question 9

A sample of $\mathrm{CO}_{2}$ has a mass of 50.0 grams. What is number of molecules of carbon dioxide in the sample? ( $\mathrm{C}=12.0 \mathrm{u}, \mathrm{O}=16.0 \mathrm{u}$, and $1 \mathrm{u}=1.66 \times 10^{-27} \mathrm{~kg}$.)

Accepted Answer

A)  $6.85 \times 10^{23}$ 
B)  $4.95 \times 1023$ 
C)  $5.66 \times 1023$ 
D)  $4.02 \times 1023$ 
E)  $6.02 \times 10^{23}$ 
A)  $6.85 \times 10^{23}$ 
B)  $4.95 \times 1023$ 
C)  $5.66 \times 1023$ 
D)  $4.02 \times 1023$ 
E)  $6.02 \times 10^{23}$

Question 10

What is the average distance between air molecules at standard temperature and pressure $\left(0^{\circ} \mathrm{C}\right.$ and $\left.1 \mathrm{~atm}\right)$ ?

Accepted Answer

A)  $2.07 \mathrm{~nm}$ 
B)  $3.34 \mathrm{~nm}$ 
C)  $0.00 \mathrm{~nm}$ 
D)  $2.03 \mathrm{~nm}$ 
A)  $2.07 \mathrm{~nm}$ 
B)  $3.34 \mathrm{~nm}$ 
C)  $0.00 \mathrm{~nm}$ 
D)  $2.03 \mathrm{~nm}$

Question 11

A nitrogen molecule has a diameter of about $0.29 \mathrm{~nm}$. The mean free path of a nitrogen molecule in a tank of dry nitrogen at room temperature $(293 \mathrm{~K})$ and standard pressure $(1 \mathrm{~atm})$ is about $0.10 \mu \mathrm{m}$. A tank containing nitrogen at standard temperature $(273 \mathrm{~K})$ and pressure has volume $\mathrm{V}$. If the tank is compressed by means of a piston to $20 \%$ of its original volume, what is the mean free path for a nitrogen molecule under the new conditions?

Accepted Answer

A)  $0.125 \mu \mathrm{m}$ 
B)  $0.112 \mu \mathrm{m}$ 
C)  $0.020 \mu \mathrm{m}$ 
D)  $0.080 \mu \mathrm{m}$ 
A)  $0.125 \mu \mathrm{m}$ 
B)  $0.112 \mu \mathrm{m}$ 
C)  $0.020 \mu \mathrm{m}$ 
D)  $0.080 \mu \mathrm{m}$

Question 12

The mass density of normal air at room temperature (293 K) is $1.29 \mathrm{~kg} / \mathrm{m}^{3}$, and the average molecular mass of air is $29.0 \mathrm{u}$. If the mean free path of an air molecule at room temperature is measured to be $111 \mathrm{~nm}$, what is the average diameter of an air molecule?

Accepted Answer

A)  $0.31 \mathrm{~nm}$ 
B)  $0.23 \mathrm{~nm}$ 
C)  $0.49 \mathrm{~nm}$ 
D)  $0.26 \mathrm{~nm}$ 
E)  $0.28 \mathrm{~nm}$
F) $0.56 \mathrm{~nm}$ 
A)  $0.31 \mathrm{~nm}$ 
B)  $0.23 \mathrm{~nm}$ 
C)  $0.49 \mathrm{~nm}$ 
D)  $0.26 \mathrm{~nm}$ 
E)  $0.28 \mathrm{~nm}$
F) $0.56 \mathrm{~nm}$

Question 13

A glass thermometer using a thin column of ethyl alcohol at room temperature $(293.0 \mathrm{~K})$ is cooled. When the temperature reaches $273.0 \mathrm{~K}$ the column of alcohol is $15.50 \mathrm{~cm}$ high. How tall was it when the temperature was $293.0 \mathrm{~K}$ ? The coefficient of volume expansion of ethyl alcohol is $1,120 \times 10^{-6} \mathrm{~K}^{-1}$.

Accepted Answer

A)  $15.85 \mathrm{~cm}$ 
B)  Cannot answer without knowing the diameter of the column 
C)  $15.68 \mathrm{~cm}$ 
D)  $15.62 \mathrm{~cm}$ 
A)  $15.85 \mathrm{~cm}$ 
B)  Cannot answer without knowing the diameter of the column 
C)  $15.68 \mathrm{~cm}$ 
D)  $15.62 \mathrm{~cm}$

Question 14

A sample of an ideal gas has a volume of $0.00100 \mathrm{~m}^{3}$, a pressure of 4.50 atmospheres and $2.00 \times 1023$ particles. What is the temperature of the gas?

Accepted Answer

A)  $165 \mathrm{~K}$ 
B)  $173 \mathrm{~K}$ 
C)  $154 \mathrm{~K}$ 
D)  $194 \mathrm{~K}$ 
E)  $186 \mathrm{~K}$ 
A)  $165 \mathrm{~K}$ 
B)  $173 \mathrm{~K}$ 
C)  $154 \mathrm{~K}$ 
D)  $194 \mathrm{~K}$ 
E)  $186 \mathrm{~K}$

Question 15

If the temperature changes by $36^{\circ} \mathrm{F}$, then what is the change in temperature in Celsius?

Accepted Answer

A)  $26^{\circ} \mathrm{C}$ 
B)  $40^{\circ} \mathrm{C}$ 
C)  $15^{\circ} \mathrm{C}$ 
D)  $32^{\circ} \mathrm{C}$ 
E)  $20^{\circ} \mathrm{C}$ 
A)  $26^{\circ} \mathrm{C}$ 
B)  $40^{\circ} \mathrm{C}$ 
C)  $15^{\circ} \mathrm{C}$ 
D)  $32^{\circ} \mathrm{C}$ 
E)  $20^{\circ} \mathrm{C}$

Question 16

What is the activation energy of a chemical reaction if the reaction rate triples when the temperature goes from $10^{\circ} \mathrm{C}$ to $30^{\circ} \mathrm{C}$ ?

Accepted Answer

A)  $6.0 \times 10^{-20} \mathrm{~J}$ 
B)  $7.0 \times 10^{-20} \mathrm{~J}$ 
C)  $6.5 \times 10^{-20} \mathrm{~J}$ 
D)  $5.5 \times 10^{-20} \mathrm{~J}$ 
E)  $7.5 \times 10^{-20} \mathrm{~J}$ 
A)  $6.0 \times 10^{-20} \mathrm{~J}$ 
B)  $7.0 \times 10^{-20} \mathrm{~J}$ 
C)  $6.5 \times 10^{-20} \mathrm{~J}$ 
D)  $5.5 \times 10^{-20} \mathrm{~J}$ 
E)  $7.5 \times 10^{-20} \mathrm{~J}$

Exam 13: Temperature and the Ideal Gas

At what approximate temperature would the rms speed of H2\mathrm{H}_{2}H2​ molecules equal the Earth's escape speed (11,200 m/s)(11,200 \mathrm{~m} / \mathrm{s})(11,200 m/s) ?

What are the dimensions of the diffusion constant?

What is the mass of exactly 1 million helium atoms? The atomic mass of helium is 4.00u4.00 \mathrm{u}4.00u .

An ideal gas composed of a mixture of oxygen and nitrogen is at a pressure of 1.50 atmospheres and a temperature of 25.0∘C25.0^{\circ} \mathrm{C}25.0∘C . What is the molar density?

What is the average distance between air molecules at standard temperature and pressure (0∘C\left(0^{\circ} \mathrm{C}\right.(0∘C and 1 atm)\left.1 \mathrm{~atm}\right)1 atm) ?

A sample of an ideal gas has a volume of 0.00100 m30.00100 \mathrm{~m}^{3}0.00100 m3 , a pressure of 4.50 atmospheres and 2.00×10232.00 \times 10232.00×1023 particles. What is the temperature of the gas?

If the temperature changes by 36∘F36^{\circ} \mathrm{F}36∘F , then what is the change in temperature in Celsius?

What is the activation energy of a chemical reaction if the reaction rate triples when the temperature goes from 10∘C10^{\circ} \mathrm{C}10∘C to 30∘C30^{\circ} \mathrm{C}30∘C ?

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

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

At what approximate temperature would the rms speed of $\mathrm{H}_{2}$ molecules equal the Earth's escape speed $(11,200 \mathrm{~m} / \mathrm{s})$ ?

What is the mass of exactly 1 million helium atoms? The atomic mass of helium is $4.00 \mathrm{u}$ .

An ideal gas composed of a mixture of oxygen and nitrogen is at a pressure of 1.50 atmospheres and a temperature of $25.0^{\circ} \mathrm{C}$ . What is the molar density?

What is the average distance between air molecules at standard temperature and pressure $\left(0^{\circ} \mathrm{C}\right.$ and $\left.1 \mathrm{~atm}\right)$ ?

A sample of an ideal gas has a volume of $0.00100 \mathrm{~m}^{3}$ , a pressure of 4.50 atmospheres and $2.00 \times 1023$ particles. What is the temperature of the gas?

If the temperature changes by $36^{\circ} \mathrm{F}$ , then what is the change in temperature in Celsius?

What is the activation energy of a chemical reaction if the reaction rate triples when the temperature goes from $10^{\circ} \mathrm{C}$ to $30^{\circ} \mathrm{C}$ ?