Exam 13: Temperature and the Ideal Gas

A 10.0 liter water bottle is filled to the brim with water when the temperature is $5.00^{\circ} \mathrm{C}$ . The bottle is sealed after it is completely filled with water. Water has a coefficient of volume expansion of $207 \times 10^{-6} /{ }^{\circ} \mathrm{C}$ and a bulk modulus of $2.20 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$ . If the temperature of the water tank is increased to $30.0^{\circ} \mathrm{C}$ , what is the increase in pressure of the water (ignore the expansion of the bottle)?

(Multiple Choice)

4.8/5

(33)

Question 21

One mole of an ideal gas with a volume of 4.00 liters and a temperature of $0^{\circ} \mathrm{C}$ is mixed with one mole of an ideal gas with a volume of 2.00 liters and a temperature of $100^{\circ} \mathrm{C}$ . The volume of the mixture is 6 liters. What is the number density of the mixture?

(Multiple Choice)

4.8/5

(40)

Question 22

A particular chemical reaction occurs at room temperature (293 K) at half the rate that it does at $300 \mathrm{~K}$ . What is the activation energy for this reaction?

(Multiple Choice)

4.8/5

(34)

Question 23

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?

(Multiple Choice)

4.9/5

(43)

Question 24

If the temperature of a room is $62^{\circ} \mathrm{F}$ , then what is the temperature of the room in Kelvin?

(Multiple Choice)

4.8/5

(39)

Question 25

The diffusion constant for oxygen through water is $1.0 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}$ . What is the time for an oxygen molecule to diffuse $1 \mathrm{~cm}$ ?

(Multiple Choice)

4.8/5

(35)

Question 26

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 and the temperature of the gas are both doubled?

(Multiple Choice)

4.8/5

(37)

Question 27

The mass of 6 million molecules of a diatomic gas is $5.1 \times 10-19 \mathrm{~kg}$ . What is the atomic mass of the element in this gas?

(Multiple Choice)

4.8/5

(38)

Question 28

If the root mean square velocity of the particles in a gas is $450 \mathrm{~m} / \mathrm{s}$ , and a particle collides with another particle every $2.0 \times 10^{-9}$ seconds on average, then the mean free path is

(Multiple Choice)

4.8/5

(37)

Question 29

An ideal gas is at a pressure of 2.0 atmospheres and a temperature of $35^{\circ} \mathrm{C}$ . What is the molar density?

(Multiple Choice)

4.8/5

(40)

Question 30

One mole of an ideal gas has a volume of $0.0224 \mathrm{~m}^{3}$ and a pressure of $101.3 \times 10^{3} \mathrm{~Pa}$ . What is the absolute temperature of the gas?

(Multiple Choice)

4.7/5

(36)

Question 31

A copper plate has a hole with a diameter of $2.50 \mathrm{~cm}$ . A copper shaft with a diameter of $2.501 \mathrm{~cm}$ is to be inserted into the hole. If the linear coefficient of thermal expansion for copper is $17.0 \times 10^{-6} /{ }^{\circ} \mathrm{C}$ , then what decrease in temperature of the copper shaft is required for the shaft to just fit inside the hole?

(Multiple Choice)

4.9/5

(36)

Question 32

An ideal gas is at a temperature of $40^{\circ} \mathrm{C}$ and a pressure of 2.00 atmospheres. If the diameter of an $\mathrm{N}_{2}$ molecule is $0.300 \mathrm{~nm}$ , then what is the mean free path of the $\mathrm{N}_{2}$ molecule in the gas?

(Multiple Choice)

4.9/5

(31)

Question 33

The total kinetic energy in one mole of an ideal gas is $4,000 \mathrm{~J}$ . What is the average kinetic energy of an individual particle in the ideal gas?

(Multiple Choice)

4.7/5

(39)

Question 34

The reaction rate of a chemical reaction doubles when the temperature increases from $10^{\circ} \mathrm{C}$ to $50^{\circ} \mathrm{C}$ . What is the activation energy?

(Multiple Choice)

4.9/5

(39)

Question 35

The temperature of a room is $300 \mathrm{~K}$ . What is the temperature in Fahrenheit?

(Multiple Choice)

4.8/5

(34)

Question 36

A particular chemical reaction that produces hydrogen gas as a byproduct has an activation energy of $19.2 \times$ $10^{-20} \mathrm{~J}$ . If the reaction produces $0.15 \times 10^{-3} \mathrm{~mol} \mathrm{H}_{2} / \mathrm{hr}$ at room temperature $\left(20^{\circ} \mathrm{C}\right)$ , what is the rate of production of $\mathrm{H}_{2}$ at $52^{\circ} \mathrm{C}$ ?

(Multiple Choice)

4.8/5

(38)

Question 37

The temperature of a copper cube is increased by $35.0^{\circ} \mathrm{C}$ . The linear coefficient of thermal expansion is 17.0 $\times 10^{-6} /{ }^{\circ} \mathrm{C}$ . The fractional change in volume is

(Multiple Choice)

4.8/5

(35)

Question 38

An ideal gas is at a temperature of $60^{\circ} \mathrm{C}$ and a pressure of 1.50 atmospheres. What is the volume per particle of the gas?

(Multiple Choice)

4.9/5

(30)

Question 39

The mass density of pure water is $1,000 \mathrm{~kg} / \mathrm{m}^{3}$ . If the molecular mass of water is $18.0 \mathrm{u}$ , how many water molecules are in spherical water balloon of radius $1.0 \mathrm{~cm}$ ?

(Multiple Choice)

4.9/5

(45)

Question 40

Exam 13: Temperature and the Ideal Gas

A particular chemical reaction occurs at room temperature (293 K) at half the rate that it does at 300 K300 \mathrm{~K}300 K . What is the activation energy for this reaction?

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?

If the temperature of a room is 62∘F62^{\circ} \mathrm{F}62∘F , then what is the temperature of the room in Kelvin?

The diffusion constant for oxygen through water is 1.0×10−9 m2/s1.0 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}1.0×10−9 m2/s . What is the time for an oxygen molecule to diffuse 1 cm1 \mathrm{~cm}1 cm ?

The mass of 6 million molecules of a diatomic gas is 5.1×10−19 kg5.1 \times 10-19 \mathrm{~kg}5.1×10−19 kg . What is the atomic mass of the element in this gas?

If the root mean square velocity of the particles in a gas is 450 m/s450 \mathrm{~m} / \mathrm{s}450 m/s , and a particle collides with another particle every 2.0×10−92.0 \times 10^{-9}2.0×10−9 seconds on average, then the mean free path is

An ideal gas is at a pressure of 2.0 atmospheres and a temperature of 35∘C35^{\circ} \mathrm{C}35∘C . What is the molar density?

One mole of an ideal gas has a volume of 0.0224 m30.0224 \mathrm{~m}^{3}0.0224 m3 and a pressure of 101.3×103 Pa101.3 \times 10^{3} \mathrm{~Pa}101.3×103 Pa . What is the absolute temperature of the gas?

An ideal gas is at a temperature of 40∘C40^{\circ} \mathrm{C}40∘C and a pressure of 2.00 atmospheres. If the diameter of an N2\mathrm{N}_{2}N2​ molecule is 0.300 nm0.300 \mathrm{~nm}0.300 nm , then what is the mean free path of the N2\mathrm{N}_{2}N2​ molecule in the gas?

The total kinetic energy in one mole of an ideal gas is 4,000 J4,000 \mathrm{~J}4,000 J . What is the average kinetic energy of an individual particle in the ideal gas?

The reaction rate of a chemical reaction doubles when the temperature increases from 10∘C10^{\circ} \mathrm{C}10∘C to 50∘C50^{\circ} \mathrm{C}50∘C . What is the activation energy?

The temperature of a room is 300 K300 \mathrm{~K}300 K . What is the temperature in Fahrenheit?

The temperature of a copper cube is increased by 35.0∘C35.0^{\circ} \mathrm{C}35.0∘C . The linear coefficient of thermal expansion is 17.0 ×10−6/∘C \times 10^{-6} /{ }^{\circ} \mathrm{C} ×10−6/∘C . The fractional change in volume is

An ideal gas is at a temperature of 60∘C60^{\circ} \mathrm{C}60∘C and a pressure of 1.50 atmospheres. What is the volume per particle of the gas?

The mass density of pure water is 1,000 kg/m31,000 \mathrm{~kg} / \mathrm{m}^{3}1,000 kg/m3 . If the molecular mass of water is 18.0u18.0 \mathrm{u}18.0u , how many water molecules are in spherical water balloon of radius 1.0 cm1.0 \mathrm{~cm}1.0 cm ?

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

A particular chemical reaction occurs at room temperature (293 K) at half the rate that it does at $300 \mathrm{~K}$ . What is the activation energy for this reaction?

If the temperature of a room is $62^{\circ} \mathrm{F}$ , then what is the temperature of the room in Kelvin?

The diffusion constant for oxygen through water is $1.0 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}$ . What is the time for an oxygen molecule to diffuse $1 \mathrm{~cm}$ ?

The mass of 6 million molecules of a diatomic gas is $5.1 \times 10-19 \mathrm{~kg}$ . What is the atomic mass of the element in this gas?

If the root mean square velocity of the particles in a gas is $450 \mathrm{~m} / \mathrm{s}$ , and a particle collides with another particle every $2.0 \times 10^{-9}$ seconds on average, then the mean free path is

An ideal gas is at a pressure of 2.0 atmospheres and a temperature of $35^{\circ} \mathrm{C}$ . What is the molar density?

One mole of an ideal gas has a volume of $0.0224 \mathrm{~m}^{3}$ and a pressure of $101.3 \times 10^{3} \mathrm{~Pa}$ . What is the absolute temperature of the gas?

An ideal gas is at a temperature of $40^{\circ} \mathrm{C}$ and a pressure of 2.00 atmospheres. If the diameter of an $\mathrm{N}_{2}$ molecule is $0.300 \mathrm{~nm}$ , then what is the mean free path of the $\mathrm{N}_{2}$ molecule in the gas?

The total kinetic energy in one mole of an ideal gas is $4,000 \mathrm{~J}$ . What is the average kinetic energy of an individual particle in the ideal gas?

The reaction rate of a chemical reaction doubles when the temperature increases from $10^{\circ} \mathrm{C}$ to $50^{\circ} \mathrm{C}$ . What is the activation energy?

The temperature of a room is $300 \mathrm{~K}$ . What is the temperature in Fahrenheit?

The temperature of a copper cube is increased by $35.0^{\circ} \mathrm{C}$ . The linear coefficient of thermal expansion is 17.0 $\times 10^{-6} /{ }^{\circ} \mathrm{C}$ . The fractional change in volume is

An ideal gas is at a temperature of $60^{\circ} \mathrm{C}$ and a pressure of 1.50 atmospheres. What is the volume per particle of the gas?

The mass density of pure water is $1,000 \mathrm{~kg} / \mathrm{m}^{3}$ . If the molecular mass of water is $18.0 \mathrm{u}$ , how many water molecules are in spherical water balloon of radius $1.0 \mathrm{~cm}$ ?