• Home
  • Textbooks
  • Chemistry and Chemical Reactivity
  • Principles of Chemical Reactivity: Energy and Chemical Reactions

Chemistry and Chemical Reactivity

John C. Kotz, Paul M. Treichel, John R. Townsend, David A. Treichel

Chapter 5

Principles of Chemical Reactivity: Energy and Chemical Reactions - all with Video Answers

Educators

+ 3 more educators

Chapter Questions

03:33

Problem 1

Energy: Some Basic Principles
Define the terms system and surroundings. What does it mean to say that a system and its surroundings are in thermal equilibrium?

Breanna Kloczkowski
Breanna Kloczkowski
Numerade Educator
03:57

Problem 2

What determines the directionality of energy transfer as heat?

Breanna Kloczkowski
Breanna Kloczkowski
Numerade Educator
04:30

Problem 3

Identify whether the following processes are exothermic or endothermic. Is the sign on $q_{\text {sys }}$ positive or negative?
(a) combustion of methane
(b) melting of ice
(c) raising the temperature of water from $25^{\circ} \mathrm{C}$
to $100^{\circ} \mathrm{C}$
(d) heating $\mathrm{CaCO}_{3}(\mathrm{s})$ to form $\mathrm{CaO}(\mathrm{s})$ and $\mathrm{CO}_{2}(\mathrm{g})$

Breanna Kloczkowski
Breanna Kloczkowski
Numerade Educator
02:41

Problem 4

Identify whether the following processes are exothermic or endothermic. Is the sign on $q_{\mathrm{sys}}$ positive or negative?
(a) the reaction of $\mathrm{Na}(\mathrm{s})$ and $\mathrm{Cl}_{2}(\mathrm{g})$
(b) cooling and condensing gaseous $\mathrm{N}_{2}$ to form liquid $\mathrm{N}_{2}$
(c) cooling a soft drink from $25^{\circ} \mathrm{C}$ to $0^{\circ} \mathrm{C}$
(d) heating $\mathrm{HgO}$ (s) to form $\mathrm{Hg}(\ell)$ and $\mathrm{O}_{2}(\mathrm{g})$

Bin Chen
Bin Chen
Numerade Educator
01:01

Problem 5

Specific Heat Capacity
The molar heat capacity of mercury is $28.1 \mathrm{J} / \mathrm{mol} \cdot \mathrm{K}$ What is the specific heat capacity of this metal in $\mathrm{J} / \mathrm{g} \cdot \mathrm{K} ?$

Alice .
Alice .
Numerade Educator
01:59

Problem 6

The specific heat capacity of benzene $\left(\mathrm{C}_{6} \mathrm{H}_{6}\right)$ is $1.74 \mathrm{J} / \mathrm{g} \cdot \mathrm{K} .$ What is its molar heat capacity (in $\mathrm{J} / \mathrm{mol} \cdot \mathrm{K}) ?$

Adam Wade
Adam Wade
Numerade Educator
04:00

Problem 7

The specific heat capacity of copper metal is $0.385 \mathrm{J} / \mathrm{g} \cdot \mathrm{K} .$ How much energy is required to heat 168 g of copper from $-12.2^{\circ} \mathrm{C}$ to $+25.6^{\circ} \mathrm{C} ?$

Breanna Kloczkowski
Breanna Kloczkowski
Numerade Educator
04:25

Problem 8

How much energy as heat is required to raise the temperature of 50.00 mL. of water from $25.52^{\circ} \mathrm{C}$ to $28.75^{\circ} \mathrm{C}^{2}$ (Density of water at this temperature $=\mathbf{0 . 9 9 7} \mathrm{g} / \mathrm{mL} .$ )

Bin Chen
Bin Chen
Numerade Educator
03:18

Problem 9

The initial temperature of a 344 -g sample of iron is $18.2^{\circ} \mathrm{C}$. If the sample absorbs $2.25 \mathrm{kJ}$ of energy as heat, what is its final temperature?

Bin Chen
Bin Chen
Numerade Educator
04:02

Problem 10

After absorbing $1.850 \mathrm{kJ}$ of energy as heat, the temperature of a 0.500 -kg block of copper is $37^{\circ} \mathrm{C} .$ What was its initial temperature?

Bin Chen
Bin Chen
Numerade Educator
06:08

Problem 11

A $45.5-8$ sample of copper at $99.8^{\circ} \mathrm{C}$ is dropped into a beaker containing $152 \mathrm{g}$ of water at $18.5^{\circ} \mathrm{C} .$ What is the final temperature when thermal equilibrium is reached?

Bin Chen
Bin Chen
Numerade Educator
02:23

Problem 12

One beaker contains 156 g of water at $22^{\circ} \mathrm{C},$ and a second beaker contains $85.2 \mathrm{g}$ of water at $95^{\circ} \mathrm{C}$ The water in the two beakers is mixed. What is the final water temperature?

Alice .
Alice .
Numerade Educator
04:24

Problem 13

A $182-\mathrm{g}$ sample of gold at some temperature was added to $22.1 \mathrm{g}$ of water. The initial water temperature was $25.0^{\circ} \mathrm{C},$ and the final temperature was $27.5^{\circ} \mathrm{C} .$ If the specific heat capacity of gold is $0.128 \mathrm{J} / \mathrm{g} \cdot \mathrm{K},$ what was the initial temperature of the gold sample?

Adam Wade
Adam Wade
Numerade Educator
03:01

Problem 14

When 108 g of water at a temperature of $22.5^{\circ} \mathrm{C}$ is mixed with $65.1 \mathrm{g}$ of water at an unknown temperature, the final temperature of the resulting mixture is $47.9^{\circ} \mathrm{C}$. What was the initial temperature of the second sample of water?

Adam Wade
Adam Wade
Numerade Educator
01:29

Problem 15

A $13.8-\mathrm{g}$ piece of zinc is heated to $98.8^{\circ} \mathrm{C}$ in boiling water and then dropped into a beaker containing $45.0 \mathrm{g}$ of water at $25.0^{\circ} \mathrm{C} .$ When the water and metal come to thermal equilibrium, the temperature is $27.1^{\circ} \mathrm{C}$. What is the specific heat capacity of zinc?

Alice .
Alice .
Numerade Educator
04:10

Problem 16

A 237 -g piece of molybdenum, initially at $100.0^{\circ} \mathrm{C},$ is dropped into $244 \mathrm{g}$ of water at $10.0^{\circ} \mathrm{C} .$ When the system comes to thermal equilibrium, the temperature is $15.3^{\circ} \mathrm{C}$. What is the specific heat capacity of molybdenum?

Adam Wade
Adam Wade
Numerade Educator
01:50

Problem 17

Changes of State
How much energy is evolved as heat when $1.0 \mathrm{L}$ of water at $0^{\circ}$ C solidifies to ice? (The heat of fusion of water is $333 \mathrm{J} / \mathrm{g} .$ )

Bin Chen
Bin Chen
Numerade Educator
01:49

Problem 18

The energy required to melt $1.00 \mathrm{g}$ of ice at $0^{\circ} \mathrm{C}$ is 333 J. If one ice cube has a mass of $62.0 \mathrm{g}$ and a tray contains 16 ice cubes, what quantity of energy is required to melt a tray of ice cubes to form liquid water at $0^{\circ} \mathrm{C} ?$

Bin Chen
Bin Chen
Numerade Educator
01:06

Problem 19

How much energy is required to vaporize $125 \mathrm{g}$ of benzene, $\mathrm{C}_{6} \mathrm{H}_{6,}$ at its boiling point, $80.1^{\circ} \mathrm{C}$ ? (The heat of vaporization of benzene is $30.8 \mathrm{kJ} / \mathrm{mol} .)$

Bin Chen
Bin Chen
Numerade Educator
01:55

Problem 20

Chloromethane, $\mathrm{CH}_{3} \mathrm{Cl},$ arises from microbial fermentation and is found throughout the environment. It is also produced industrially, is used in the manufacture of various chemicals, and has been used as a topical anesthetic. How much energy is required to convert $92.5 \mathrm{g}$ of liquid to a vapor at its boiling point, $-24.09^{\circ} \mathrm{C} ?$ (The heat of vaporization of $\mathrm{CH}_{3} \mathrm{Cl}$ is $21.40 \mathrm{kJ} / \mathrm{mol} .$ )

Bin Chen
Bin Chen
Numerade Educator
04:14

Problem 21

The freezing point of mercury is $-38.8^{\circ} \mathrm{C} .$ What quantity of energy, in joules, is released to the surroundings if $1.00 \mathrm{mL}$ of mercury is cooled from $23.0^{\circ} \mathrm{C}$ to $-38.8^{\circ} \mathrm{C}$ and then frozen to a solid? (The density of liquid mercury is $13.6 \mathrm{g} / \mathrm{cm}^{3}$. Its specific heat capacity is 0.140 J/g \cdot K and its heat of fusion is $11.4 \mathrm{J} / \mathrm{g} .$ )

Bin Chen
Bin Chen
Numerade Educator
03:18

Problem 22

What quantity of energy, in joules, is required to raise the temperature of $454 \mathrm{g}$ of tin from room temperature, $25.0^{\circ} \mathrm{C},$ to its melting point, $231.9^{\circ} \mathrm{C},$ and then melt the tin at that temperature? (The specific heat capacity of tin is $0.227 \mathrm{J} / \mathrm{g} \cdot \mathrm{K},$ and the heat of fusion of this metal is $59.2 \mathrm{J} / \mathrm{g} .$ )

Bin Chen
Bin Chen
Numerade Educator
03:03

Problem 23

Ethanol, $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH},$ boils at $78.29^{\circ} \mathrm{C} .$ How much energy, in joules, is required to raise the temperature of $1.00 \mathrm{kg}$ of ethanol from $20.0^{\circ} \mathrm{C}$ to the boiling point and then to change the liquid to vapor at that temperature? (The specific heat capacity of liquid ethanol is $2.44 \mathrm{J} / \mathrm{g} \cdot \mathrm{K},$ and its enthalpy of vaporization is $855 \mathrm{J} / \mathrm{g} .$ )

Bin Chen
Bin Chen
Numerade Educator
03:38

Problem 24

A 25.0 -mL. sample of benzene at $19.9^{\circ} \mathrm{C}$ was cooled to its melting point, $5.5^{\circ} \mathrm{C},$ and then frozen. How much energy was given off as heat in this process? (The density of benzene is $0.80 \mathrm{g} / \mathrm{mL},$ its specific heat capacity is $1.74 \mathrm{J} / \mathrm{g} \cdot \mathrm{K}$ and its heat of fusion is $127 \mathrm{J} / \mathrm{g} .$ )

Bin Chen
Bin Chen
Numerade Educator
01:34

Problem 25

Heat, Work, and Internal Energy
As a gas cools, it is compressed from 2.50 L to 1.25 L under a constant pressure of $1.01 \times 10^{5}$ Pa. Calculate the work (in J) required to compress the gas.

Bin Chen
Bin Chen
Numerade Educator
01:12

Problem 26

A balloon expands from 0.75 L. to 1.20 L.as it is heated under a constant pressure of $1.01 \times 10^{5} \mathrm{Pa}$. Calculate the work (in J) done by the balloon on the environment.

Bin Chen
Bin Chen
Numerade Educator
01:52

Problem 27

A balloon does 324 J of work on the surroundings as it expands under a constant pressure of $7.33 \times 10^{4} \mathrm{Pa}$. What is the change in volume (in L) of the balloon?

Bin Chen
Bin Chen
Numerade Educator
01:52

Problem 28

As the gas trapped in a cylinder with a movable piston cools, $1.34 \mathrm{kJ}$ of work is done on the gas by the surroundings. If the gas is at a constant pressure of $1.33 \times 10^{5} \mathrm{Pa}$, what is the change of volume (in L) of the gas?

Bin Chen
Bin Chen
Numerade Educator
00:29

Problem 29

When $745 \mathrm{J}$ of energy in the form of heat is transferred from the environment to a gas, the expansion of the gas does 312 J of work on the environment. What is the change in internal energy of the gas?

Bin Chen
Bin Chen
Numerade Educator
01:26

Problem 30

The internal energy of a gas decreases by $1.65 \mathrm{kJ}$ when it transfers $1.87 \mathrm{kJ}$ of energy in the form of heat to the surroundings.
(a) Calculate the work done by the gas on the surroundings.
(b) Does the volume of gas increase or decrease?

Arun Bana
Arun Bana
Numerade Educator
02:59

Problem 31

A volume of 1.50 L of argon gas is confined in a cylinder with a movable piston under a constant pressure of $1.22 \times 10^{5}$ Pa. When $1.25 \mathrm{kJ}$ of energy in the form of heat is transferred from the surroundings to the gas, the internal energy of the gas increases by 1.11 kJ. What is the final volume of argon gas in the cylinder?

Nishant Kumar
Nishant Kumar
Numerade Educator
02:06

Problem 32

Nitrogen gas is confined in a cylinder with a movable piston under a constant pressure of $9.95 \times 10^{4}$ Pa. When $695 \mathrm{J}$ of energy in the form of heat is transferred from the gas to the surroundings, its volume decreases by 1.88 L. What is the change in internal energy of the gas?

Bin Chen
Bin Chen
Numerade Educator
01:40

Problem 33

Enthalpy Changes
Nitrogen monoxide, a gas recently found to be involved in a wide range of biological processes, reacts with oxygen to give brown $\mathrm{NO}_{2}$ gas.
$$
\begin{aligned}
2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \rightarrow & 2 \mathrm{NO}_{2}(\mathrm{g}) \\
\Delta_{r} H^{\circ} &=-114.1 \mathrm{kJ} / \mathrm{mol}-\mathrm{pxn}
\end{aligned}
$$
Is this reaction endothermic or exothermic? What is the enthalpy change if $1.25 \mathrm{g}$ of $\mathrm{NO}$ is converted completely to $\mathrm{NO}_{2} ?$

Bin Chen
Bin Chen
Numerade Educator
01:49

Problem 34

Calcium carbide, $\mathrm{CaC}_{2}$, is manufactured by the reaction of CaO with carbon at a high temperature. (Calcium carbide is then used to make acetylene. $\mathrm{CaO}(\mathrm{s})+3 \mathrm{C}(\mathrm{s}) \rightarrow \mathrm{CaC}_{2}(\mathrm{s})+\mathrm{CO}(\mathrm{g})$
$$
\Delta_{1} H^{\circ}=+464.8 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$
Is this reaction endothermic or exothermic? What is the enthalpy change if $10.0 \mathrm{g}$ of $\mathrm{CaO}$ is allowed to react with an excess of carbon?

Bin Chen
Bin Chen
Numerade Educator
02:52

Problem 35

Isooctane $(2,2,4-$ trimethylpentane), one of the many hydrocarbons that make up gasoline, burns in air to give water and carbon dioxide.
$$
2 \mathrm{C}_{8} \mathrm{H}_{18}(\ell)+25 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \begin{array}{l}
16 \mathrm{CO}_{2}(\mathrm{g})+18 \mathrm{H}_{2} \mathrm{O}(\ell) \\
\Delta_{i} H^{\circ}=-10,922 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
\end{array}
$$
What is the enthalpy change if you burn 1.00 L of isooctane $(d=0.69 \mathrm{g} / \mathrm{mL}) ?$

Bin Chen
Bin Chen
Numerade Educator
02:47

Problem 36

Acetic acid, $\mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{H},$ is made industrially by the reaction of methanol and carbon monoxide.
$$
\mathrm{CH}_{3} \mathrm{OH}(\ell)+\mathrm{CO}(\mathrm{g}) \rightarrow \mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{H}(\ell)
$$
What is the enthalpy change for producing $1.00 \mathrm{L}$ of acetic acid $(d=1.044 \mathrm{g} / \mathrm{mL})$ by this reaction?

Bin Chen
Bin Chen
Numerade Educator
06:11

Problem 37

Calorimetry
Assume you mix 100.0 $\mathrm{mL}$ of $0.200 \mathrm{M}$ CsOH with $50.0 \mathrm{mL}$ of $0.400 \mathrm{M} \mathrm{HCl}$ in a coffee-cup calorimeter. The following reaction occurs:
$$
\mathrm{CsOH}(\mathrm{aq})+\mathrm{HCl}(\mathrm{aq}) \rightarrow \mathrm{CsCl}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{O}(\ell)
$$
The temperature of both solutions before mixing was $22.50^{\circ} \mathrm{C},$ and it rises to $24.28^{\circ} \mathrm{C}$ after the acid-base reaction. What is the enthalpy change for the reaction per mole of CsOH? Assume the densities of the solutions are all $1.00 \mathrm{g} / \mathrm{mL}$ and the specific heat capacities of the solutions are $4.2 \mathrm{J} / \mathrm{g} \cdot \mathrm{K}.$

Bin Chen
Bin Chen
Numerade Educator
06:48

Problem 38

You mix $125 \mathrm{mL}$ of $0.250 \mathrm{M}$ CsOH with $50.0 \mathrm{mL}$ of 0.625 M HF in a coffee-cup calorimeter, and the temperature of both solutions rises from
$21.50^{\circ} \mathrm{C}$ before mixing to $24.40^{\circ} \mathrm{C}$ after the reaction.
$$
\mathrm{CsOH}(\mathrm{aq})+\mathrm{HF}(\mathrm{aq}) \rightarrow \mathrm{CsF}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{O}(\ell)
$$
What is the enthalpy of reaction per mole of CsOH? Assume the densities of the solutions are all $1.00 \mathrm{g} / \mathrm{mL},$ and the specific heat capacities of the solutions are $4.2 \mathrm{J} / \mathrm{g} \cdot \mathrm{K}$

Bin Chen
Bin Chen
Numerade Educator
01:11

Problem 39

A piece of titanium metal with a mass of $20.8 \mathrm{g}$ is heated in boiling water to $99.5^{\circ} \mathrm{C}$ and then dropped into a coffee-cup calorimeter containing $75.0 \mathrm{g}$ of water at $21.7^{\circ} \mathrm{C}$. When thermal equilibrium is reached, the final temperature is $24.3^{\circ} \mathrm{C}$ Calculate the specific heat capacity of titanium.

Alice .
Alice .
Numerade Educator
04:15

Problem 40

A piece of chromium metal with a mass of $24.26 \mathrm{g}$ is heated in boiling water to $98.3^{\circ} \mathrm{C}$ and then dropped into a coffee-cup calorimeter containing 82.3 g of water at $23.3^{\circ}$ C. When thermal equilibrium is reached, the final temperature is $25.6^{\circ} \mathrm{C} .$ Calculate the specific heat capacity of chromium.

Adam Wade
Adam Wade
Numerade Educator
01:31

Problem 41

Adding $5.44 \mathrm{g}$ of $\mathrm{NH}_{4} \mathrm{NO}_{3}(\mathrm{s})$ to $150.0 \mathrm{g}$ of water
in a coffee-cup calorimeter (with stirring to dissolve the salt) resulted in a decrease in temperature from $18.6^{\circ} \mathrm{C}$ to $16.2^{\circ} \mathrm{C}$. Calculate the enthalpy change for dissolving $\mathrm{NH}_{4} \mathrm{NO}_{3}(\mathrm{s})$ in water, in $\mathrm{kJ} / \mathrm{mol}$. Assume the solution (whose mass is $155.4 \mathrm{g}$ ) has a specific heat capacity of $4.2 \mathrm{J} / \mathrm{g} \cdot \mathrm{K} \cdot$ (Cold packs take advantage of the fact that dissolving ammonium nitrate in water is an endothermic process.
(IMAGE CANNOT COPY)

Alice .
Alice .
Numerade Educator
02:51

Problem 42

You should use care when dissolving $\mathrm{H}_{2} \mathrm{SO}_{4}$ in water because the process is highly exothermic. To measure the enthalpy change, $5.2 \mathrm{g}$ of concentrated $\mathrm{H}_{2} \mathrm{SO}_{4}(\ell)$ was added (with stirring) to 135 g of water in a coffee-cup calorimeter. This resulted in an increase in temperature from $20.2^{\circ} \mathrm{C}$ to $28.8^{\circ} \mathrm{C} .$ Calculate the enthalpy change for the process $\mathrm{H}_{2} \mathrm{SO}_{4}(\ell) \rightarrow \mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq}),$ in kJ/mol.

Bin Chen
Bin Chen
Numerade Educator
08:04

Problem 43

Sulfur $(2.56 \mathrm{g})$ was burned in a constant-volume calorimeter with excess $\mathbf{O}_{2}(\mathrm{g}) .$ The temperature increased from $21.25^{\circ} \mathrm{C}$ to $26.72^{\circ} \mathrm{C}$. The bomb has a heat capacity of $923 \mathrm{J} / \mathrm{K},$ and the calorimeter contained $815 \mathrm{g}$ of water. Calculate $\Delta U$ per mole of $\mathrm{SO}_{2}$ formed for the reaction
$$
s_{s}(s)+8 \mathbf{O}_{2}(g) \rightarrow 8 \mathbf{S O}_{2}(\mathbf{g})
$$
(IMAGE CANNOT COPY)

Bin Chen
Bin Chen
Numerade Educator
05:29

Problem 44

Suppose you burned 0.300 g of $\mathrm{C}(\mathrm{s})$ in an excess of $\mathbf{O}_{2}(g)$ in a constant-volume calorimeter to give $\mathrm{CO}_{2}(\mathrm{g})$
$$
\mathrm{C}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{CO}_{2}(\mathrm{g})
$$
The temperature of the calorimeter, which contained 775 g of water, increased from $25.00^{\circ} \mathrm{C}$ to $27.38^{\circ} \mathrm{C} .$ The heat capacity of the bomb is $893 \mathrm{J} / \mathrm{K} .$ Calculate $\Delta U$ per mole of carbon.

Bin Chen
Bin Chen
Numerade Educator
View

Problem 45

Suppose you burned 1.500 g of benzoic acid, $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CO}_{2} \mathrm{H},$ in a constant-volume calorimeter and found that the temperature increased from $22.50^{\circ} \mathrm{C}$ to $31.69^{\circ} \mathrm{C}$. The calorimeter contained $\mathrm{d}$ dimeter cootainine calloin $1.669 \mathrm{dd}$ $775 \mathrm{g}$ of water, and the bomb had a heat capacity of $893 \mathrm{J} / \mathrm{K}$. Calculate $\Delta U$ per mole of benzoic acid.
(FIGURE CANNOT COPY)

Susan Hallstrom
Susan Hallstrom
Numerade Educator
05:29

Problem 46

A $0.692-\mathrm{g}$ sample of glucose, $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6},$ was burned in a constant-volume calorimeter. The temperature rose from $21.70^{\circ} \mathrm{C}$ to $25.22^{\circ} \mathrm{C}$. The calorimeter contained $575 \mathrm{g}$ of water, and the bomb had a heat capacity of $650 \mathrm{J} / \mathrm{K}$. What is $\Delta U$ per mole of glucose?

Bin Chen
Bin Chen
Numerade Educator
03:52

Problem 47

An "ice calorimeter" can be used to determine the specific heat capacity of a metal. A piece of hot metal is dropped onto a weighed quantity of ice. The energy transferred from the metal to the ice can be determined from the amount of ice melted. Suppose you heated a 50.0 -g piece of silver to $99.8^{\circ} \mathrm{C}$ and then dropped it onto ice. When the metal's temperature had dropped to $0.0^{\circ} \mathrm{C},$ it is found that $3.54 \mathrm{g}$ of ice had melted. What is the specific heat capacity of silver?

Bin Chen
Bin Chen
Numerade Educator
03:30

Problem 48

A $9.36-8$ piece of platinum was heated to $98.6^{\circ} \mathrm{C}$ in a boiling water bath and then dropped onto ice (See Study Question 47.) When the metal's temperature had dropped to 0.0 ^ $\mathrm{C}$, it was found that 0.37 g of ice had melted. What is the specific heat capacity of platinum?

Bin Chen
Bin Chen
Numerade Educator
View

Problem 49

Hess's Law
The enthalpy changes for the following reactions can be measured:
$\mathrm{CH}_{4}(\mathrm{g})+2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{CO}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
$$
\Delta_{r} H^{\circ}=-802.4 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$
$\mathrm{CH}_{3} \mathrm{OH}(\mathrm{g})+3 / 2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{CO}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
$\Delta_{1} H^{\circ}=-676 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}$
(a) Use these values and Hess's law to determine the enthalpy change for the reaction $\mathrm{CH}_{4}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{CH}_{3} \mathrm{OH}(\mathrm{g})$
(b) Draw an energy level diagram that shows the relationship between the energy quantities involved in this problem.

Tom Comey
Tom Comey
Numerade Educator
View

Problem 50

The enthalpy changes of the following reactions can be measured:
$\mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\ell)$
$$
\Delta_{i} H^{\circ}=-1411.1 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$
$\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\ell)+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+3 \mathrm{H}_{2} \mathrm{O}(\ell)$
$\Delta, H^{\circ}=-1367.5 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}$
(a) Use these values and Hess's law to determine the enthalpy change for the reaction $\mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{g})+\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\ell)$
(b) Draw an energy level diagram that shows the relationship between the energy quantities involved in this problem.

Tom Comey
Tom Comey
Numerade Educator
07:27

Problem 51

Enthalpy changes for the following reactions can be determined experimentally:
$\mathrm{N}_{2}(\mathrm{g})+3 \mathrm{H}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{NH}_{3}(\mathrm{g})$
$$
\Delta_{r} H^{\circ}=-91.8 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$
$4 \mathrm{NH}_{3}(\mathrm{g})+5 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 4 \mathrm{NO}(\mathrm{g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
$$
\Delta_{\mathrm{r}} H^{\circ}=-906.2 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$
$\mathrm{H}_{2}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
$$
\Delta_{i} H^{\circ}=-241.8 \mathrm{kJ} / \mathrm{mol}-\mathrm{v} \mathrm{xn}
$$
Use these values to determine the enthalpy change for the formation of $\mathrm{NO}(\mathrm{g})$ from the elements (an enthalpy change that cannot be measured directly because the reaction is reactant-favored).
$$
^{1 / 2} \mathrm{N}_{2}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{NO}(\mathrm{g}) \quad \Delta_{r} H^{\circ}=?
$$

Bin Chen
Bin Chen
Numerade Educator
03:42

Problem 52

You wish to know the enthalpy change for the formation of liquid $\mathrm{PCl}_{3}$ from the elements.
$$
\mathrm{P}_{4}(\mathrm{s})+6 \mathrm{Cl}_{2}(\mathrm{g}) \rightarrow 4 \mathrm{PCl}_{3}(\ell) \quad \Delta_{r} H^{\circ}=?
$$
The enthalpy change for the formation of $\mathrm{PCl}_{5}$ from the elements can be determined experimentally, as can the enthalpy change for the reaction of $\mathrm{PCl}_{3}(\ell)$ with more chlorine to give $\mathrm{PCl}_{5}(\mathrm{s}):$ $\mathrm{P}_{4}(\mathrm{s})+10 \mathrm{Cl}_{2}(\mathrm{g}) \rightarrow 4 \mathrm{PCl}_{5}(\mathrm{s})$
$\Delta_{i} H^{\circ}=-1774.0 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}$
$\mathrm{PCl}_{3}(\ell)+\mathrm{Cl}_{2}(\mathrm{g}) \rightarrow \mathrm{PCl}_{5}(\mathrm{s})$
$$
\Delta_{r} H^{\circ}=-123.8 \mathrm{kJ} / \mathrm{mol}-\mathrm{Dxn}
$$
Use these data to calculate the enthalpy change for the formation of 1.00 mol of $\mathrm{PCl}_{3}(\ell)$ from phosphorus and chlorine.

Bin Chen
Bin Chen
Numerade Educator
01:52

Problem 53

Standard Enthalpies of Formation
Write a balanced chemical equation for the formation of $\mathrm{CH}_{3} \mathrm{OH}(\ell)$ from the elements in their standard states. Find the value for $\Delta_{f} H^{\circ}$ for $\mathrm{CH}_{3} \mathrm{OH}(\ell)$ in Appendix $\mathrm{L}.$

Bin Chen
Bin Chen
Numerade Educator
01:26

Problem 54

Write a balanced chemical equation for the formation of $\mathrm{CaCO}_{3}(\mathrm{s})$ from the elements in their standard states. Find the value for $\Delta_{f} H^{\circ}$ for $\mathrm{CaCO}_{3}(\mathrm{s})$ in Appendix L.

Bin Chen
Bin Chen
Numerade Educator
02:53

Problem 55

(a) Write a balanced chemical equation for the formation of 1 mol of $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s})$ from $\mathrm{Cr}$ and
$\mathrm{O}_{2}$ in their standard states. (Find the value for $\Delta_{i} H^{\circ}$ for $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s})$ in Appendix $\mathrm{L}$ )
(b) What is the standard enthalpy change if $2.4 \mathrm{g}$ of chromium is oxidized to $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s}) ?$

Bin Chen
Bin Chen
Numerade Educator
01:48

Problem 56

(a) Write a balanced chemical equation for the formation of 1 mol of $\mathrm{MgO}$ (s) from the elements in their standard states. (Find the value for $\Delta_{j} H^{\circ}$ for $\mathrm{MgO}(s)$ in Appendix $\mathrm{L}$ )
(b) What is the standard enthalpy change for the reaction of 2.5 mol of Mg with oxygen?

Bin Chen
Bin Chen
Numerade Educator
03:50

Problem 57

Use standard enthalpies of formation in Appendix L to calculate enthalpy changes for the following:
(a) $1.0 \mathrm{g}$ of white phosphorus burns, forming $\mathbf{P}_{4} \mathbf{O}_{10}(\mathbf{s})$
(b) 0.20 mol of $\mathrm{NO}(\mathrm{g})$ decomposes to $\mathrm{N}_{2}(\mathrm{g})$ and $\mathrm{O}_{2}(\mathrm{g})$
(c) $2.40 \mathrm{g}$ of $\mathrm{NaCl}(\mathrm{s})$ is formed from $\mathrm{Na}(\mathrm{s})$ and excess $\mathrm{Cl}_{2}(\mathrm{g})$
(d) 250 g of iron is oxidized with oxygen to $\mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{s})$

Maryam Shahid
Maryam Shahid
Numerade Educator
06:26

Problem 57

Use standard enthalpies of formation in Appendix L to calculate enthalpy changes for the
following:
(a) $1.0 \mathrm{g}$ of white phosphorus burns, forming $\mathrm{P}_{4} \mathrm{O}_{10}(\mathrm{s})$
(b) 0.20 mol of $\mathrm{NO}(\mathrm{g})$ decomposes to $\mathrm{N}_{2}(\mathrm{g})$ and $\mathrm{O}_{2}(\mathrm{g})$
(c) $2.40 \mathrm{g}$ of $\mathrm{NaCl}(\mathrm{s})$ is formed from $\mathrm{Na}(\mathrm{s})$ and excess $\mathrm{Cl}_{2}(\mathrm{g})$
(d) 250 g of iron is oxidized with oxygen to $F e_{2} O_{3}(s)$

Bin Chen
Bin Chen
Numerade Educator
03:18

Problem 58

Use standard enthalpies of formation in Appendix L to calculate enthalpy changes for the following:
(a) $0.054 \mathrm{g}$ of sulfur burns, forming $\mathrm{SO}_{2}(\mathrm{g})$
(b) 0.20 mol of $\mathrm{HgO}(\mathrm{s})$ decomposes to $\mathrm{Hg}(\ell)$ and $\mathbf{O}_{2}(\mathbf{g})$
(c) $2.40 \mathrm{g}$ of $\mathrm{NH}_{3}(\mathrm{g})$ is formed from $\mathrm{N}_{2}(\mathrm{g})$ and excess $\mathrm{H}_{2}(\mathrm{g})$
(d) $1.05 \times 10^{-2}$ mol of carbon is oxidized to $\mathrm{CO}_{2}(\mathrm{g})$

Maryam Shahid
Maryam Shahid
Numerade Educator
03:13

Problem 59

The first step in the production of nitric acid from ammonia involves the oxidation of $\mathrm{NH}_{3}$.
$$
4 \mathrm{NH}_{3}(\mathrm{g})+5 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 4 \mathrm{NO}(\mathrm{g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
$$
(a) Use standard enthalpies of formation to calculate the standard enthalpy change for this reaction.
(b) How much energy is evolved or absorbed as heat in the oxidation of $10.0 \mathrm{g}$ of $\mathrm{NH}_{3} ?$

Bin Chen
Bin Chen
Numerade Educator
01:51

Problem 60

The Romans used calcium oxide, $\mathrm{CaO}$, to produce a strong mortar to build stone structures. Calcium oxide was mixed with water to give $\mathrm{Ca}(\mathrm{OH})_{2}$, which reacted slowly with $\mathrm{CO}_{2}$ in the air to give $\mathrm{CaCO}_{3}$ $\mathrm{Ca}(\mathrm{OH})_{2}(\mathrm{s})+\mathrm{CO}_{2}(\mathrm{g}) \rightarrow \mathrm{CaCO}_{3}(\mathrm{s})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
(a) Calculate the standard enthalpy change for this reaction.
(b) How much energy is evolved or absorbed as heat if $1.00 \mathrm{kg}$ of $\mathrm{Ca}(\mathrm{OH})_{2}$ reacts with a stoichiometric amount of $\mathrm{CO}_{2} ?$

Maryam Shahid
Maryam Shahid
Numerade Educator
01:31

Problem 61

The standard enthalpy of formation of solid barium oxide, $\mathrm{BaO},$ is $-553.5 \mathrm{kJ} / \mathrm{mol},$ and the standard enthalpy of formation of barium peroxide, $\mathrm{BaO}_{2},$ is $-634.3 \mathrm{kJ} / \mathrm{mol}$
(a) Calculate the standard enthalpy change for the following reaction. Is the reaction exothermic or endothermic?
$2 \mathrm{BaO}_{2}(\mathrm{s}) \rightarrow 2 \mathrm{BaO}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{g})$
(b) Draw an energy level diagram that shows the relationship between the enthalpy change of the decomposition of $\mathrm{BaO}_{2}$ to $\mathrm{BaO}$ and $\mathrm{O}_{2}$ and the enthalpies of formation of $\mathrm{BaO}(\mathrm{s})$ and $\mathrm{BaO}_{2}(\mathrm{s})$

Maryam Shahid
Maryam Shahid
Numerade Educator
01:21

Problem 62

An important step in the production of sulfuric acid is the oxidation of $\mathrm{SO}_{2}$ to $\mathrm{SO}_{3}$
$$
\mathrm{SO}_{2}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{SO}_{3}(\mathrm{g})
$$
Formation of $\mathrm{SO}_{3}$ from the air pollutant $\mathrm{SO}_{2}$ is also a key step in the formation of acid rain.
(a) Use standard enthalpies of formation to calculate the enthalpy change for the reaction. Is the reaction exothermic or endothermic?
(b) Draw an energy level diagram that shows the relationship between the enthalpy change for the oxidation of $\mathrm{SO}_{2}$ to $\mathrm{SO}_{3}$ and the enthalpies of formation of $\mathrm{SO}_{2}(\mathrm{g})$ and $\mathrm{SO}_{3}(\mathrm{g}).$

Maryam Shahid
Maryam Shahid
Numerade Educator
03:21

Problem 63

The enthalpy change for the oxidation of naphthalene, $\mathrm{C}_{10} \mathrm{H}_{8},$ is measured by calorimetry.
$$
\begin{aligned}
\mathrm{C}_{10} \mathrm{H}_{g}(\mathrm{s})+12 \mathrm{O}_{2}(\mathrm{g}) \rightarrow & 10 \mathrm{CO}_{2}(\mathrm{g})+4 \mathrm{H}_{2} \mathrm{O}(\ell) \\
\Delta_{i} H^{\circ} &=-5156.1 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
\end{aligned}
$$
Use this value, along with the standard enthalpies of formation of $\mathrm{CO}_{2}(\mathrm{g})$ and $\mathrm{H}_{2} \mathrm{O}(\ell),$ to calculate the enthalpy of formation of naphthalene, in kJ/mol.

Bin Chen
Bin Chen
Numerade Educator
02:58

Problem 64

The enthalpy change for the oxidation of styrene, $\mathrm{C}_{8} \mathrm{H}_{8},$ is measured by calorimetry. $\mathrm{C}_{\mathrm{s}} \mathrm{H}_{\mathrm{s}}(\ell)+10 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 8 \mathrm{CO}_{2}(\mathrm{g})+4 \mathrm{H}_{2} \mathrm{O}(\ell)$
$$
\Delta_{r} H^{\circ}=-4395.0 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$
Use this value, along with the standard enthalpies of formation of $\mathrm{CO}_{2}(\mathrm{g})$ and $\mathrm{H}_{2} \mathrm{O}(\ell),$ to calculate the enthalpy of formation of styrene, in $\mathrm{kJ} / \mathrm{mol}$.

Bin Chen
Bin Chen
Numerade Educator
View

Problem 65

These questions are not designated as to type or location in the chapter. They may combine several concepts.
The following terms are used extensively in thermodynamics. Define each and give an example.
(a) exothermic and endothermic
(b) system and surroundings
(c) specific heat capacity
(d) state function
(e) standard state
(f) enthalpy change, $\Delta H$
(g) standard enthalpy of formation

Tom Comey
Tom Comey
Numerade Educator
01:46

Problem 66

For each of the following tell whether the process is exothermic or endothermic. (No calculations are required.)
(a) $\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{s})$
(b) $2 \mathrm{H}_{2}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
(c) $\mathrm{H}_{2} \mathrm{O}\left(\ell, 25^{\circ} \mathrm{C}\right) \rightarrow \mathrm{H}_{2} \mathrm{O}\left(\ell, 15^{\circ} \mathrm{C}\right)$
(d) $\mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$

Bin Chen
Bin Chen
Numerade Educator
03:34

Problem 67

For each of the following, define a system and its surroundings, and give the direction of energy transfer between system and surroundings.
(a) Methane burns in a gas furnace in your home.
(b) Water drops, sitting on your skin after a swim, evaporate.
(c) Water, at $25^{\circ} \mathrm{C},$ is placed in the freezing compartment of a refrigerator, where it cools and eventually solidifies.
(d) Aluminum and $\mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{s})$ are mixed in a flask sitting on a laboratory bench. A reaction occurs, and a large quantity of energy is evolved as heat.

Bin Chen
Bin Chen
Numerade Educator
00:56

Problem 68

What does the term standard state mean? What are the standard states of the following substances at $298 \mathrm{K}: \mathrm{H}_{2} \mathrm{O}, \mathrm{NaCl}, \mathrm{Hg}, \mathrm{CH}_{4} ?$

Bin Chen
Bin Chen
Numerade Educator
02:05

Problem 69

Use Appendix L to find the standard enthalpies of formation of oxygen atoms, oxygen molecules $\left(\mathrm{O}_{2}\right),$ and ozone $\left(\mathrm{O}_{3}\right) .$ What is the standard state of oxygen? Is the formation of oxygen atoms from $\mathrm{O}_{2}$ exothermic? What is the enthalpy change for the formation of 1 mol of $\mathbf{O}_{3}$ from $\mathbf{O}_{2} ?$

Alice .
Alice .
Numerade Educator
00:58

Problem 70

You have a large balloon containing 1.0 mol of gaseous water vapor at $80^{\circ} \mathrm{C}$. How will each step affect the internal energy of the system?
(a) The temperature of the system is raised to $90^{\circ} \mathrm{C}$
(b) The vapor is condensed to a liquid, at $40^{\circ} \mathrm{C}.$

Bin Chen
Bin Chen
Numerade Educator
02:39

Problem 71

Determine whether energy as heat is evolved or required, and whether work was done on the system or whether the system does work on the surroundings, in the following processes at constant pressure:
(a) Liquid water at $100^{\circ} \mathrm{C}$ is converted to steam at $100^{\circ} \mathrm{C}$
(b) Dry ice, $\mathrm{CO}_{2}(\mathrm{s}),$ sublimes to give $\mathrm{CO}_{2}(\mathrm{g})$

Arun Bana
Arun Bana
Numerade Educator
01:45

Problem 72

Determine whether energy as heat is evolved or required, and whether work was done on the system or whether the system does work on the surroundings, in the following processes at constant pressure:
(a) Ozone, $\mathrm{O}_{3}$, decomposes to form $\mathrm{O}_{2}$
(b) Methane burns: $\mathrm{CH}_{4}(\mathrm{g})+2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{CO}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\ell)$

Maryam Shahid
Maryam Shahid
Numerade Educator
04:04

Problem 73

Use standard enthalpies of formation to calculate the enthalpy change that occurs when $1.00 \mathrm{g}$ of $\mathrm{SnCl}_{4}(\ell)$ reacts with excess $\mathrm{H}_{2} \mathrm{O}(\ell)$ to form $\operatorname{sn} \mathrm{O}_{2}(\mathrm{s})$ and $\mathrm{HCl}(\mathrm{aq}).$

Bin Chen
Bin Chen
Numerade Educator
01:51

Problem 74

Which evolves more energy on cooling from $50^{\circ} \mathrm{C}$ to $10^{\circ} \mathrm{C}: 50.0 \mathrm{g}$ of water or $100 . \mathrm{g}$ of
ethanol $\left(C_{\text {ethanol }}=2.46 \mathrm{J} / \mathrm{g} \cdot \mathrm{K}\right) ?$

Bin Chen
Bin Chen
Numerade Educator
01:08

Problem 75

You determine that 187 J of energy as heat is required to raise the temperature of $93.45 \mathrm{g}$ of silver from $18.5^{\circ} \mathrm{C}$ to $27.0^{\circ} \mathrm{C} .$ What is the specific heat capacity of silver?

Bin Chen
Bin Chen
Numerade Educator
03:31

Problem 76

Calculate the quantity of energy required to convert $60.1 \mathrm{g}$ of $\mathrm{H}_{2} \mathrm{O}(\mathrm{s})$ at $0.0^{\circ} \mathrm{C}$ to $\mathrm{H}_{2} \mathrm{O}(\mathrm{g})$ at $100.0^{\circ} \mathrm{C} .$ The enthalpy of fusion of ice at $0^{\circ} \mathrm{C}$ is $333 \mathrm{J} / \mathrm{g}$ i the enthalpy of vaporization of liquid water at $100^{\circ} \mathrm{C}$ is $2256 \mathrm{J} / \mathrm{g}.$

Bin Chen
Bin Chen
Numerade Educator
02:57

Problem 77

You add $100.0 \mathrm{g}$ of water at $60.0^{\circ} \mathrm{C}$ to $100.0 \mathrm{g}$ of ice at $0.00^{\circ} \mathrm{C}$. Some of the ice melts and cools the water to $0.00^{\circ} \mathrm{C} .$ When the ice and water mixture reaches thermal equilibrium at $0^{\circ} \mathrm{C},$ how much ice has melted?

Bin Chen
Bin Chen
Numerade Educator
03:13

Problem 78

A Three $45-g$ ice cubes at $0^{\circ} \mathrm{C}$ are dropped into $5.00 \times 10^{2} \mathrm{mL}$ of tea to make iced tea. The tea was initially at $20.0^{\circ} \mathrm{C} ;$ when thermal equilibrium was reached, the final temperature was $0^{\circ} \mathrm{C}$ How much of the ice melted, and how much remained floating in the beverage? Assume the specific heat capacity of tea is the same as that of pure water.

Bin Chen
Bin Chen
Numerade Educator
05:59

Problem 79

A Suppose that only two $45-g$ ice cubes had been added to your glass containing $5.00 \times 10^{2} \mathrm{mL}$ of tea (see Study Question 78). When thermal equilibrium is reached, all of the ice will have melted, and the temperature of the mixture will be somewhere between $20.0^{\circ} \mathrm{C}$ and $0^{\circ} \mathrm{C} .$ Calculate the final temperature of the beverage. (Note: The $90 \mathrm{g}$ of water formed when the ice melts must be warmed from $0^{\circ} \mathrm{C}$ to the final temperature.)

David Collins
David Collins
Numerade Educator
02:53

Problem 80

You take a diet cola from the refrigerator and pour
$240 \mathrm{mL}$ of it into a glass. The temperature of the beverage is $10.5^{\circ} \mathrm{C}$. You then add one ice cube (45 g) at $0^{\circ}$ C. Which of the following describes the system when thermal equilibrium is reached?
(a) The temperature is $0^{\circ} \mathrm{C},$ and some ice remains.
(b) The temperature is $0^{\circ} \mathrm{C},$ and no ice remains.
(c) The temperature is higher than $0^{\circ} \mathrm{C},$ and no ice remains.
Determine the final temperature and the amount of ice remaining, if any.

Bin Chen
Bin Chen
Numerade Educator
View

Problem 81

A The standard molar enthalpy of formation of diborane, $\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{g}),$ cannot be determined directly because the compound cannot be prepared by the reaction of boron and hydrogen. It can be calculated from other enthalpy changes, however. The following enthalpy changes can be measured.
$4 \mathrm{B}(\mathrm{s})+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{B}_{2} \mathrm{O}_{3}(\mathrm{s})$
$\Delta_{1} H^{\circ}=-2543.8 \mathrm{kJ} / \mathrm{mol}-\mathrm{pxn}$
$\mathrm{H}_{2}(\mathrm{g})+^{1 / 2} \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
$\Delta_{r} H^{\prime \prime}=-241.8 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}$
$\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{B}_{2} \mathrm{O}_{3}(\mathrm{s})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$
$\Delta_{\tau} H^{\circ}=-2032.9 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}$
(a) Show how these equations can be added together to give the equation for the formation of $\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{g})$ from $\mathrm{B}(\mathrm{s})$ and $\mathrm{H}_{2}(\mathrm{g})$ in their
standard states. Assign enthalpy changes to each reaction.
(b) Calculate $\Delta_{f} H^{\circ}$ for $\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{g})$
(c) Draw an energy level diagram that shows how the various enthalpies in this problem are related.
(d) Is the formation of $\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{g})$ from its elements exo-or endothermic?

Tom Comey
Tom Comey
Numerade Educator
03:14

Problem 82

Chloromethane, $\mathrm{CH}_{3} \mathrm{Cl},$ a compound found throughout the environment, is formed in the reaction of chlorine atoms with methane.
$$
\mathrm{CH}_{4}(\mathrm{g})+2 \mathrm{Cl}(\mathrm{g}) \rightarrow \mathrm{CH}_{3} \mathrm{Cl}(\mathrm{g})+\mathrm{HCl}(\mathrm{g})
$$
(a) Calculate the enthalpy change for the reaction of $\mathrm{CH}_{4}(\mathrm{g})$ and $\mathrm{Cl}$ atoms to give $\mathrm{CH}_{3} \mathrm{Cl}(\mathrm{g})$ and $\mathrm{HCl}(\mathrm{g}) .$ Is the reaction exo- or endothermic?
(b) Draw an energy level diagram that shows how the various enthalpies in this problem are related.

Bin Chen
Bin Chen
Numerade Educator
03:51

Problem 83

When heated to a high temperature, coke (mainly carbon, obtained by heating coal in the absence of air) and steam produce a mixture called water gas, which can be used as a fuel or as a starting place for other reactions. The equation for the production of water gas is
$$
\mathrm{C}(\mathrm{s})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \rightarrow \mathrm{CO}(\mathrm{g})+\mathrm{H}_{2}(\mathrm{g})
$$
(a) Use standard enthalpies of formation to determine the enthalpy change for this reaction.
(b) Is the reaction exo-or endothermic?
(c) What is the enthalpy change if $1000.0 \mathrm{kg}$ (1 metric ton) of carbon is converted to water gas?

Bin Chen
Bin Chen
Numerade Educator
03:05

Problem 84

Camping stoves are fueled by propane $\left(\mathrm{C}_{3} \mathrm{H}_{8}\right)$ butane $\left[\mathrm{C}_{4} \mathrm{H}_{10}(\mathrm{g}), \Delta_{f} H^{\circ}=-127.1 \mathrm{kJ} / \mathrm{mol}\right],$ gaso-
line, or ethanol $\left(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\right) .$ Calculate the enthalpy of combustion per gram of each of these fuels. IAssume that gasoline is represented by isooctane, $\mathrm{C}_{8} \mathrm{H}_{18}(\ell),$ with $\Delta, H^{\circ}=-259.3 \mathrm{kJ} / \mathrm{mol} .$
Do you notice any great differences among these fuels? How are these differences related to their composition?
(IMAGE CANNOT COPY)

Maryam Shahid
Maryam Shahid
Numerade Educator
05:32

Problem 85

Methanol, $\mathrm{CH}_{3} \mathrm{OH},$ a compound that can be made relatively inexpensively from coal, is a promising substitute for gasoline. The alcohol has a smaller energy content than gasoline, but, with its higher octane rating, it burns more efficiently than gasoline in combustion engines. (It has the added advantage of contributing to a lesser degree to some air pollutants.) Compare the enthalpy of combustion per gram of $\mathrm{CH}_{3} \mathrm{OH}$ and $\mathrm{C}_{8} \mathrm{H}_{18}$ (isooctane), the latter being representative of the compounds in gasoline. $\left(\Delta_{j} H^{\circ}=-259.3 \mathrm{kJ} / \mathrm{mol} \text { for isooctane }\right)$

Bin Chen
Bin Chen
Numerade Educator
05:27

Problem 86

Hydrazine and 1,1 -dimethylhydrazine both react spontaneously with $\mathrm{O}_{2}$ and can be used as rocket fuels.
$$
\mathrm{N}_{2} \mathrm{H}_{4}(\ell)+\mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{N}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
$$
hydrazine
$\mathrm{N}_{2} \mathrm{H}_{2}\left(\mathrm{CH}_{3}\right)_{2}(\ell)+4 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+4 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})+\mathrm{N}_{2}(\mathrm{g})$
$1,1-$ dimethythydrazine
The molar enthalpy of formation of $\mathrm{N}_{2} \mathrm{H}_{4}(\ell)$ is $+50.6 \mathrm{kJ} / \mathrm{mol},$ and that of $\mathrm{N}_{2} \mathrm{H}_{2}\left(\mathrm{CH}_{3}\right)_{2}(\ell)$ is
$+48.9 \mathrm{kJ} / \mathrm{mol} .$ Use these values, with other $\Delta_{f} H^{\circ}$
values, to decide whether the reaction of hydrazine or 1,1 -dimethylhydrazine with oxygen provides more energy per gram.
(IMAGE CANNOT COPY)

Bin Chen
Bin Chen
Numerade Educator
View

Problem 87

(a) Calculate the enthalpy change, $\Delta_{r} H^{\circ},$ for the formation of 1.00 mol of strontium carbonate (the material that gives the red color in fireworks) from its elements.
$$
\mathrm{Sr}(\mathrm{s})+\mathrm{C}(\mathrm{s})+3 / 2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{SrCO}_{3}(\mathrm{s})
$$
The experimental information available is
$\mathrm{Sr}(\mathrm{s})+1 / 2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{SrO}(\mathrm{s}) \quad \Delta_{i} H^{\circ}=-592 \mathrm{kJ} / \mathrm{mol}-\mathrm{pxn}$
$\mathrm{SrO}(\mathrm{s})+\mathrm{CO}_{2}(\mathrm{g}) \rightarrow \mathrm{SrCO}_{3}(\mathrm{s})$
$$
\Delta_{\tau} H^{\circ}=-234 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$
C(graphite) $+\mathbf{O}_{2}(\mathrm{g}) \rightarrow \mathrm{CO}_{2}(\mathrm{g})$
$\Delta_{j} H^{\circ}=-394 \mathrm{kJ} / \mathrm{mol}-\mathrm{Dxn}$
(b) Draw an energy level diagram relating the energy quantities in this problem.

Victor Salazar
Victor Salazar
Numerade Educator
03:18

Problem 88

You drink $350 \mathrm{mL}$ of diet soda that is at a temperature of $5^{\circ} \mathrm{C}$
(a) How much energy will your body expend to raise the temperature of this liquid to body temperature $\left(37^{\circ} \mathrm{C}\right) ?$ Assume that the density and specific heat capacity of diet soda are the same as for water.
(b) Compare the value in part (a) with the caloric content of the beverage. (The label says that it has a caloric content of 1 Calorie.) What is the net energy change in your body resulting from drinking this beverage? (1 Calorie = $1000 \mathrm{kcal}=4184 \mathrm{J} .)$
(c) Carry out a comparison similar to that in part
(b) for a nondiet beverage whose label indicates a caloric content of 240 Calories.

Banhishikha Sinha
Banhishikha Sinha
Numerade Educator
11:37

Problem 89

A Chloroform, $\mathrm{CHCl}_{3}$, is formed from methane and chlorine in the following reaction.
$$
\mathrm{CH}_{4}(\mathrm{g})+3 \mathrm{C}_{2}(\mathrm{g}) \rightarrow 3 \mathrm{HCl}(\mathrm{g})+\mathrm{CHCl}_{3}(\mathrm{g})
$$
Calculate $\Delta, H^{\circ},$ the enthalpy change for this reaction, using the enthalpies of formation of $\mathrm{CO}_{2}(\mathrm{g})$ $\mathrm{H}_{2} \mathrm{O}(\ell),$ and $\mathrm{CHCl}_{3}(\mathrm{g})\left(\Delta_{j} H^{\circ}=-103.1 \mathrm{kJ} / \mathrm{mol}\right)$
and the enthalpy changes for the following reactions:
$\mathrm{CH}_{4}(\mathrm{g})+2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{H}_{2} \mathrm{O}(\ell)+\mathrm{CO}_{2}(\mathrm{g})$
$$
\Delta_{i} H^{c}=-890.4 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$
$2 \mathrm{HCl}(\mathrm{g}) \rightarrow \mathrm{H}_{2}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{g})$
$$
\Delta_{r} H^{\circ}=+184.6 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn}
$$

Pam Owens
Pam Owens
Numerade Educator
06:18

Problem 90

Water gas, a mixture of carbon monoxide and hydrogen, is produced by treating carbon (in the form of coke or coal) with steam at high temperatures. (See Study Question 83.)
$$
\mathrm{C}(\mathrm{s})+\mathrm{II}_{2} \mathrm{O}(\mathrm{g}) \rightarrow \mathrm{CO}(\mathrm{g})+\mathrm{H}_{2}(\mathrm{g})
$$
Not all of the carbon available is converted to water gas since some is burned to provide the heat for the endothermic reaction of carbon and water. What mass of carbon must be burned (to $\mathrm{CO}_{2}$ gas) to provide the energy to convert $1.00 \mathrm{kg}$ of carbon to water gas?

Bin Chen
Bin Chen
Numerade Educator
02:47

Problem 91

Using standard enthalpies of formation, verify that $2680 \mathrm{kJ}$ of energy is released in combustion of $100.0 \mathrm{g}$ of ethanol.
$$
\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\ell)+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
$$

Bin Chen
Bin Chen
Numerade Educator
View

Problem 92

According to the Nutrient Data Laboratory website (www, ars. usda.gov/ba/bhnrc/ndl), corn oil contains $3766 \mathrm{kJ}$ of energy per $100 .$ g serving.
(a) What is the energy content of $100 .$ g of corn oil in units of nutritional calories (Cal)?
(b) How many tablespoons of corn oil have an energy content equivalent to 1500 nutritional calories? (1.0 Tbsp $=14$ g of corn oil)
(c) What mass of water can be heated from $25.0^{\circ} \mathrm{C}$ to its boiling point of $100.0^{\circ}$ C using the energy of combustion of 1.00 Tbsp of corn oil?

Victor Salazar
Victor Salazar
Numerade Educator
04:10

Problem 93

In the Laboratory
A piece of lead with a mass of $27.3 \mathrm{g}$ was heated to $98.90^{\circ} \mathrm{C}$ and then dropped into $15.0 \mathrm{g}$ of water at $22.50^{\circ} \mathrm{C} .$ The final temperature was $26.32^{\circ} \mathrm{C} .$ Calculate the specific heat capacity of lead from these data.

Bin Chen
Bin Chen
Numerade Educator
05:49

Problem 94

A 192 -g piece of copper is heated to $100.0^{\circ} \mathrm{C}$ in a boiling water bath and then dropped into a beaker containing 751 g of water (density = $1.00 \mathrm{g} / \mathrm{cm}^{3}$ ) at $4.0^{\circ} \mathrm{C}$. What was the final temperature of the copper and water after thermal equilibrium was reached? $\left(C_{C u}=0.385 \mathrm{J} / \mathrm{g} \cdot \mathrm{K} .\right).$

Bin Chen
Bin Chen
Numerade Educator
03:32

Problem 95

Insoluble AgCl(s) precipitates when solutions of $\mathrm{AgNO}_{3}(\mathrm{aq})$ and $\mathrm{NaCl}(\mathrm{aq})$ are mixed.
$\operatorname{AgNO}_{3}(\mathrm{aq})+\mathrm{NaCl}(\mathrm{aq}) \rightarrow \mathrm{AgCl}(\mathrm{s})+\mathrm{NaNO}_{3}(\mathrm{aq})$
$$
\Delta_{i} H^{0}=?
$$
To measure the energy evolved in this reaction,
250. mL. of 0.16 M AgNO $_{3}$ (aq) and 125 mL. of $0.32 \mathrm{M} \mathrm{NaCl}(\mathrm{aq})$ are mixed in a coffee-cup calorimeter. The temperature of the mixture rises from $21.15^{\circ} \mathrm{C}$ to $22.90^{\circ} \mathrm{C} .$ Calculate the enthalpy change for the precipitation of $\mathrm{AgCl}(\mathrm{s}),$ in $\mathrm{kJ} / \mathrm{mol}$. (Assume the density of the solution is $1.0 \mathrm{g} / \mathrm{mL}$ and its specific heat capacity is $4.2 \mathrm{J} / \mathrm{g} \cdot \mathrm{K} .)$

Bin Chen
Bin Chen
Numerade Educator
06:47

Problem 96

Insoluble $\mathrm{PbBr}_{2}(\mathrm{s})$ precipitates when solutions of $\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{aq})$ and $\mathrm{NaBr}(\mathrm{aq})$ are mixed.
$$\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{aq})+2 \mathrm{NaBr}(\mathrm{aq}) \rightarrow \mathrm{PbBr}_{2}(\mathrm{s})+2 \mathrm{NaNO}_{3}(\mathrm{aq})$$
To measure the enthalpy change, $200 .$ mL of $0.75 \mathrm{M} \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{aq})$ and $200 . \mathrm{mL}$ of $1.5 \mathrm{M}$
NaBr(aq) are mixed in a coffee-cup calorimeter. The temperature of the mixture rises by $2.44^{\circ} \mathrm{C}$ Calculate the enthalpy change for the precipitation of $\mathrm{PbBr}_{2}(\mathrm{s}),$ in $\mathrm{kJ} / \mathrm{mol}$. (Assume the density of the solution is $1.0 \mathrm{g} / \mathrm{mI}_{7}$ and its specific heat capacity is $4.2 \mathrm{J} / \mathrm{g} \cdot \mathrm{K} .)$

Pam Owens
Pam Owens
Numerade Educator
02:41

Problem 97

The value of $\Delta U$ for the decomposition of $7.647 \mathrm{g}$ of ammonium nitrate can be measured in a bomb calorimeter. The reaction that occurs is
$$
\mathrm{NH}_{4} \mathrm{NO}_{3}(\mathrm{s}) \rightarrow \mathrm{N}_{2} \mathrm{O}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
$$
The temperature of the calorimeter, which contains $415 \mathrm{g}$ of water, increases from $18.90^{\circ} \mathrm{C}$ to $20.72^{\circ} \mathrm{C}$
The heat capacity of the bomb is $155 \mathrm{J} / \mathrm{K}$. What is the value of $\Delta U$ for this reaction, in $\mathrm{kJ} / \mathrm{mol} ?$
(IMAGE CANNOT COPY)

David Collins
David Collins
Numerade Educator
03:46

Problem 97

The value of $\Delta U$ for the decomposition of $7.647 \mathrm{g}$ of ammonium nitrate can be measured in a bomb calorimeter. The reaction that occurs is
\[
\mathrm{NH}_{4} \mathrm{NO}_{3}(\mathrm{s}) \rightarrow \mathrm{N}_{2} \mathrm{O}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
\]
The temperature of the calorimeter, which contains $415 \mathrm{g}$ of water, increases from $18.90^{\circ} \mathrm{C}$ to $20.72^{\circ} \mathrm{C}$
The heat capacity of the bomb is $155 \mathrm{J} / \mathrm{K}$. What is the value of $\Delta U$ for this reaction, in $\mathrm{kJ} / \mathrm{mol}$ ? (IMAGE CANNOT COPY)

Bin Chen
Bin Chen
Numerade Educator
03:46

Problem 98

A bomb calorimetric experiment was run to determine the enthalpy of combustion of ethanol. The reaction is
$$
\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\ell)+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+3 \mathrm{H}_{2} \mathrm{O}(\ell)
$$
The bomb had a heat capacity of $550 \mathrm{J} / \mathrm{K},$ and the calorimeter contained $650 \mathrm{g}$ of water. Burning $4.20 \mathrm{g}$ of ethanol, $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\ell)$ resulted in a rise in temperature from $18.5^{\circ} \mathrm{C}$ to $22.3^{\circ} \mathrm{C}$. Calculate $\Delta U$ for the combustion of ethanol, in $\mathrm{kJ} / \mathrm{mol}$.

Bin Chen
Bin Chen
Numerade Educator
04:48

Problem 99

The meals-ready-to-eat (MREs) in the military can be heated on a flameless heater. You can purchase a similar product called "Heater Meals." Just pour water into the heater unit, wait a few minutes, and you have a hot meal. The source of energy in the heater is
$$
\mathrm{Mg}(\mathrm{s})+2 \mathrm{H}_{2} \mathrm{O}(\ell) \rightarrow \mathrm{Mg}(\mathrm{OH})_{2}(\mathrm{s})+\mathrm{H}_{2}(\mathrm{g})
$$
(IMAGE CANNOT COPY)
Calculate the enthalpy change under standard conditions, in joules, for this reaction. What quantity of magnesium is needed to supply the energy required to warm $25 \mathrm{mL}$ of water $(d=1.00 \mathrm{g} / \mathrm{mL})$ from $25^{\circ} \mathrm{C}$ to $85^{\circ} \mathrm{C} ?$ (See W. Jensen: Journal of Chemical Education, Vol. 77, pp. $713-717,2000 .$ )

Bin Chen
Bin Chen
Numerade Educator
05:18

Problem 100

On a cold day, you can warm your hands with a "heat pad," a device that uses the oxidation of iron to produce energy as heat.
$$
4 \mathrm{Fe}(\mathrm{s})+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{Fe}_{2} \mathrm{O}_{3}(\mathrm{s})
$$
(IMAGE CANNOT COPY)
What mass of iron is needed to supply the energy required to warm $15 \mathrm{mL}$ of water $(d=1.00 \mathrm{g} / \mathrm{mL})$ from $23^{\circ} \mathrm{C}$ to $37^{\circ} \mathrm{C} ?$

Bin Chen
Bin Chen
Numerade Educator
00:41

Problem 101

The following questions may use concepts from this and previous chapters.
Without doing calculations, decide whether each of the following is exo-or endothermic.
(a) the combustion of natural gas
(b) the decomposition of glucose, $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6},$ to carbon and water

Bin Chen
Bin Chen
Numerade Educator
00:55

Problem 102

Which of the following are state functions?
(a) the volume of a balloon
(b) the time it takes to drive from your home to your college or university
(c) the temperature of the water in a coffee cup
(d) the potential energy of a ball held in your hand

Banhishikha Sinha
Banhishikha Sinha
Numerade Educator
View

Problem 103

A You want to determine the value for the enthalpy of formation of $\mathrm{CaSO}_{4}(\mathrm{s}),$ but the reaction cannot be done directly.
$$
\mathrm{Ca}(\mathrm{s})+\mathrm{S}(\mathrm{s})+2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{CaSO}_{4}(\mathrm{s})
$$
You know, however, that (a) both calcium and sulfur react with oxygen to produce oxides in reactions that can be studied calorimetrically, and
(b) the basic oxide CaO reacts with the acidic oxide $\mathrm{SO}_{3}(\mathrm{g})$ to produce $\mathrm{CaSO}_{4}(\mathrm{s})$ with $\Delta_{r} H^{\circ}=$
$-402.7 \mathrm{kJ} .$ Outline a method for determining $\Delta_{f} H^{\circ}$ for $\mathrm{CaSO}_{4}(s),$ and identify the information that must be collected by experiment. Using information in Appendix $L_{y}$ confirm that $\Delta_{f} H^{\circ}$ for $\mathrm{CaSO}_{4}(\mathrm{s})=-1433.5 \mathrm{kJ} / \mathrm{mol}.$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
05:52

Problem 104

Prepare a graph of specific heat capacities for metals versus their atomic weights. Combine the data in Figure 5.4 and the values in the following table. What is the relationship between specific heat capacity and atomic weight? Use this relationship to predict the specific heat capacity of platinum. The specific heat capacity for platinum is given in the literature as $0.133 \mathrm{J} / \mathrm{g} \cdot \mathrm{K} .$ How good is the agreement between the predicted and actual values?
$$\begin{aligned}
&\begin{array}{|l|c|}
\hline & \text { Specific Heat Capacity } \\
\text { Metal } & (\mathrm{J} / \mathrm{g} \cdot \mathrm{K}) \\
\hline \text { Chromium } & 0.450 \\
\text { Lead } & 0.127 \\
\text { Silver } & 0.236 \\
\text { Tin } & 0.227 \\
\text { Titanium } & 0.522
\end{array}\\
&1
\end{aligned}$$

Pam Owens
Pam Owens
Numerade Educator
01:48

Problem 105

Observe the molar heat capacity values for the metals in Figure $5.4 .$ What observation can you make about these values-specifically, are they widely different or very similar? Using this information, estimate the specific heat capacity for silver. Compare this estimate with the correct value for silver, $0.236 \mathrm{J} / \mathrm{g} \cdot \mathrm{K}.$

Bin Chen
Bin Chen
Numerade Educator
03:18

Problem 106

A You are attending summer school and living in a very old dormitory. The day is oppressively hot, there is no air conditioner, and you can't open the windows of your room. There is a refrigerator in the room, however. In a stroke of genius, you open the door of the refrigerator, and cool air cascades out. The relief does not last long, though. Soon the refrigerator motor and condenser begin to run, and not long thereafter the room is hotter than it was before. Why did the room warm up?

Pam Owens
Pam Owens
Numerade Educator
07:03

Problem 107

You want to heat the air in your house with natural gas $\left(\mathrm{CH}_{4}\right) .$ Assume your house has $275 \mathrm{m}^{2}$ (about $2800 \mathrm{ft}^{2}$ ) of floor area and that the ceilings are $2.50 \mathrm{m}$ from the floors. The air in the house has a molar heat capacity of $29.1 \mathrm{J} / \mathrm{mol} \cdot \mathrm{K}$. (The number of moles of air in the house can be found by assuming that the average molar mass of air is $28.9 \mathrm{g} / \mathrm{mol}$ and that the density of air at these temperatures is $1.22 \mathrm{g} / \mathrm{L} .$ ) What mass of methane do you have to burn to heat the air from $15.0^{\circ} \mathrm{C}$
to $22.0^{\circ} \mathrm{C} ?$

Bin Chen
Bin Chen
Numerade Educator
00:33

Problem 108

Water can be decomposed to its elements, $\mathrm{H}_{2}$ and
$\mathrm{O}_{2},$ using electrical energy or in a series of chemical reactions. The following sequence of reactions is one possibility:
$$
\begin{array}{c}
\mathrm{CaBr}_{2}(\mathrm{s})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \rightarrow \mathrm{CaO}(\mathrm{s})+2 \mathrm{HBr}(\mathrm{g}) \\
\mathrm{Hg}(\ell)+2 \mathrm{HBr}(\mathrm{g}) \rightarrow \mathrm{HgBr}_{2}(\mathrm{s})+\mathrm{H}_{2}(\mathrm{g}) \\
\mathrm{HgBr}_{2}(\mathrm{s})+\mathrm{CaO}(\mathrm{s}) \rightarrow \mathrm{HgO}(\mathrm{s})+\mathrm{CaBr}_{2}(\mathrm{s}) \\
\mathrm{HgO}(\mathrm{s}) \rightarrow \mathrm{Hg}(\ell)+1 / 2 \mathrm{O}_{2}(\mathrm{g})
\end{array}
$$
(a) Show that the net result of this series of reactions is the decomposition of water to its elements.
(b) If you use $1000 .$ kg of water, what mass of $\mathrm{H}_{2}$ can be produced?
(c) Calculate the value of $\Delta_{r} H^{\circ}$ for each step in the series. Are the reactions predicted to be exo-or endothermic?
$$
\begin{array}{l}
\Delta_{j} H^{\circ}\left|\mathrm{CaBr}_{2}(\mathrm{s})\right|=-683.2 \mathrm{kJ} / \mathrm{mol} \\
\Delta_{f} H^{\circ}\left[\mathrm{HgBr}_{2}(\mathrm{s})\right]=-169.5 \mathrm{kJ} / \mathrm{mol}
\end{array}
$$
(d) Comment on the commercial feasibility of using this series of reactions to produce $\mathrm{H}_{2}(\mathrm{g})$ from water.

Nicole Smina
Nicole Smina
Numerade Educator
View

Problem 109

Suppose that an inch $(2.54 \mathrm{cm})$ of rain falls over a square mile of ground $\left(2.59 \times 10^{6} \mathrm{m}^{2}\right) .$ (Density of water is $1.0 \mathrm{g} / \mathrm{cm}^{3} .$ ) The enthalpy of vaporization of water at $25^{\circ} \mathrm{C}$ is $44.0 \mathrm{kJ} / \mathrm{mol} .$ How much energy is transferred as heat to the surroundings from the condensation of water vapor in forming this quantity of liquid water? (The huge number tells you how much energy is "stored" in water vapor and why we think of storms as such great forces of energy in nature. It is interesting to compare this result with the energy given off, $4.2 \times 10^{6} \mathrm{kJ},$ when a ton of dynamite explodes.

Victor Salazar
Victor Salazar
Numerade Educator
View

Problem 110

A Peanuts and peanut oil are organic materials and burn in air. How many burning peanuts does it take to provide the energy to boil a cup of water $(250 \mathrm{mL} \text { of water }) ?$ To solve this problem, we assume each peanut, with an average mass of $0.73 \mathrm{g}$ is $49 \%$ peanut oil and $21 \%$ starch; the remainder is noncombustible. We further assume peanut oil is palmitic acid, $\mathrm{C}_{16} \mathrm{H}_{32} \mathrm{O}_{2},$ with an enthalpy of formation of $-848.4 \mathrm{kJ} / \mathrm{mol} .$ Starch is a long chain of $C_{6} H_{10} O_{5}$ units, each unit having an enthalpy of formation of $-960 \mathrm{kJ}.$
(IMAGE CANNOT COPY)

Victor Salazar
Victor Salazar
Numerade Educator
View

Problem 111

A Isomers are molecules with the same elemental composition but a different atomic arrangement. Three isomers with the formula $\mathrm{C}_{4} \mathrm{H}_{8}$ are shown in the models below. The enthalpy of combustion $\left(\Delta_{c} H^{\circ}\right)$ of each isomer, determined using a calorimeter, is as follows:
Compound $\quad \Delta_{c} H^{\circ}(k J / \text { mol butene })$ $\begin{array}{ll}\text { cise-2.butene } & -2709.8 \\ \text { trans 2.butene } & -2706.6 \\ \text { 1-butene } & -2716.8\end{array}$
(a) Draw an energy level diagram relating the energy content of the three isomers to the energy content of the combustion products, $\mathrm{CO}_{2}(\mathrm{g})$ and $\mathrm{H}_{2} \mathrm{O}(\ell)$
(b) Use the $\Delta_{c} H^{\circ}$ data in part (a), along with the enthalpies of formation of $\mathrm{CO}_{2}(\mathrm{g})$ and $\mathrm{H}_{2} \mathrm{O}(\ell)$ from Appendix $\mathrm{L},$ to calculate the enthalpy of formation for each of the isomers.
(c) Draw an energy level diagram that relates the enthalpies of formation of the three isomers to the energy of the elements in their standard states.
(d) What is the enthalpy change for the conversion of cis-2-butene to trans-2-butene?
(FIGURE CANNOT COPY)

Susan Hallstrom
Susan Hallstrom
Numerade Educator
View

Problem 111

A Isomers are molecules with the same elemental composition but a different atomic arrangement. Three isomers with the formula $\mathrm{C}_{4} \mathrm{H}_{8}$ are shown in the models below. The enthalpy of combustion $\left(\Delta_{c} H^{\circ}\right)$ of each isomer, determined using a calorimeter, is as follows:
cise-2.butene
\[
-2709.8
\]
Compound $\Delta_{c} H^{\circ}(k J / \text { mol butene })$ trans $2 .$ butene $\quad-2706.6$
1-butene
\[
-2716.8
\]
(a) Draw an energy level diagram relating the energy content of the three isomers to the energy content of the combustion products, $\mathrm{CO}_{2}(\mathrm{g})$ and $\mathrm{H}_{2} \mathrm{O}(\ell)$
(b) Use the $\Delta_{c} H^{\circ}$ data in part (a), along with the enthalpies of formation of $\mathrm{CO}_{2}(\mathrm{g})$ and $\mathrm{H}_{2} \mathrm{O}(\ell)$ from Appendix $\mathrm{L},$ to calculate the enthalpy of formation for each of the isomers.
(c) Draw an energy level diagram that relates the enthalpies of formation of the three isomers to the energy of the elements in their standard states.
(d) What is the enthalpy change for the conversion of cis- 2 -butene to trans- 2 -butene? (FIGURE CANNOT COPY)

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:40

Problem 112

Several standard enthalpies of formation (from Appendix L) are given below. Use these data to calculate
(a) the standard enthalpy of vaporization of bromine.
(b) the energy required for the reaction $\mathrm{Br}_{2}(\mathrm{g}) \rightarrow$ $2 \mathrm{Br}(g) .$ (This is the Br $-\mathrm{Br}$ bond dissociation enthalpy.)
$$\begin{aligned}
&\text { Species } \quad \Delta_{f} H^{\circ}(\mathrm{kJ} / \mathrm{mol})\\
&\begin{array}{lc}
\hline B r(g) & 111.9 \\
B r_{2}(\ell) & 0 \\
B r_{2}(g) & 30.9
\end{array}
\end{aligned}$$

David Collins
David Collins
Numerade Educator
View

Problem 113

When $0.850 \mathrm{g}$ of $\mathrm{Mg}$ was burned in oxygen in a constant-volume calorimeter, 25.4 kJ of energy as heat was evolved. The calorimeter was in an insulated container with $750 .$ g of water at an initial temperature of $18.6^{\circ} \mathrm{C}$. The heat capacity of the bomb in the calorimeter is $820 . \mathrm{J} / \mathrm{K}.$
(a) Calculate $\Delta U$ for the oxidation of $\mathrm{Mg}$ (in kJ/mol Mg).
(b) What will be the final temperature of the water and the bomb calorimeter in this experiment?

Victor Salazar
Victor Salazar
Numerade Educator
03:40

Problem 114

A A piece of gold $\left(10.0 \mathrm{g}, C_{\mathrm{Au}}=0.129 \mathrm{J} / \mathrm{g} \cdot \mathrm{K}\right)$ is heated to $100.0^{\circ} \mathrm{C} .$ A piece of copper (also $10.0 \mathrm{g}$ $\left.C_{\alpha_{i}}=0.385 \mathrm{J} / \mathrm{g} \cdot \mathrm{K}\right)$ is chilled in an ice bath to $0^{\circ} \mathrm{C} .$ Both pieces of metal are placed in a beaker containing $150 . \mathrm{g} \mathrm{H}_{2} \mathrm{O}$ at $20^{\circ} \mathrm{C} .$ Will the temperature of the water be greater than or less than $20^{\circ} \mathrm{C}$ when thermal equilibrium is reached? Calculate the final temperature.

David Collins
David Collins
Numerade Educator
View

Problem 115

Methane, $\mathrm{CH}_{4},$ can be converted to methanol, which, like ethanol, can be used as a fuel. The energy level diagram shown here presents relationships between energies of the fuels and their oxidation products. Use the information in the diagram to answer the following questions. (The energy terms are per mol-rxn.)
(FIGURE CANNOT COPY)
(a) Which fuel, methanol or methane, yields the most energy per mole when burned?
(b) Which fuel yields the most energy per gram when burned?
(c) What is the enthalpy change for the conversion of methane to methanol by reaction with $\mathbf{O}_{2}(\mathrm{g}) ?$
(d) Each arrow on the diagram represents a chemical reaction. Write the equation for the reaction that converts methane to methanol.

Victor Salazar
Victor Salazar
Numerade Educator
05:23

Problem 116

Calculate $\Delta_{i} H^{\circ}$ for the reaction
$$
2 \mathrm{C}(\mathrm{s})+3 \mathrm{H}_{2}(\mathrm{g})+1 / 2 \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\ell)
$$
given the information below.
$$
\begin{array}{l}
\mathrm{C}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{CO}_{2}(\mathrm{g}) \quad \Delta_{i} H^{\circ}=-393.5 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn} \\
2 \mathrm{H}_{2}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{H}_{2} \mathrm{O}(\ell) \\
\quad \Delta_{1} H^{\circ}=-571.6 \mathrm{kJ} / \mathrm{mol}-\mathrm{rxn} \\
\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\ell)+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+3 \mathrm{H}_{2} \mathrm{O}(\ell) \\
\Delta_{r} H^{\circ}=-1367.5 \mathrm{kJ} / \mathrm{mol}-\mathrm{ran}
\end{array}
$$

Bin Chen
Bin Chen
Numerade Educator
View

Problem 117

A You have the six pieces of metal listed below, plus a beaker of water containing $3.00 \times 10^{2} \mathrm{g}$ of water. The water temperature is $21.00^{\circ} \mathrm{C}.$
$$\begin{array}{|l|c|c|}
\hline \text { Metals } & \text { Specific Heat }(J / g K) & \text { Mass }(g) \\
\hline 1 . A 1 & 0.9002 & 100.0 \\
2 . A 1 & 0.9002 & 50.0 \\
3 . A u & 0.1289 & 100.0 \\
4 . A u & 0.1289 & 50.0 \\
5 . Z n & 0.3860 & 100.0 \\
6 . Z n & 0.3860 & 50.0 \\
\hline
\end{array}$$
(a) In your first experiment you select one piece of metal and heat it to $100^{\circ} \mathrm{C},$ and then select a second piece of metal and cool it to $-10^{\circ} \mathrm{C}$ Both pieces of metal are then placed in the beaker of water and the temperatures equilibrated. You want to select two pieces of metal to use, such that the final temperature of the water is as high as possible. What piece of metal will you heat? What piece of metal will you cool? What is the final temperature of the water?
(b) The second experiment is done in the same way as the first. However, your goal now is to cause the temperature to change the least, that is, the final temperature should be as near to $21.00^{\circ} \mathrm{C}$ as possible. What piece of metal will you heat? What piece of metal will you cool? What is the final temperature of the water?

Victor Salazar
Victor Salazar
Numerade Educator
07:42

Problem 118

In the lab, you plan to carry out a calorimetry experiment to determine $\Delta_{r} H$ for the exothermic reaction of $\mathrm{Ca}(\mathrm{OH})_{2}(\mathrm{s})$ and $\mathrm{HCl}(\mathrm{aq}) .$ Predict how each of the following will affect the calculated value of $\Delta_{t} H .$ (The value calculated for $\Delta_{i} H$ for this reaction is a negative value so choose your answer from the following:
$\Delta, H$ will be too low [that is, a larger negative valuel, $\Delta_{r} H$ will be unaffected, $\Delta_{r} H$ will be too high [that is, a smaller negative value].)
(a) You spill a little bit of the $\mathrm{Ca}(\mathrm{OH})_{2}$ on the benchtop before adding it to the calorimeter.
(b) Because of a miscalculation, you add an excess of HCl to the measured amount of $\mathrm{Ca}(\mathrm{OH})_{2}$ in the calorimeter.
(c) $\mathrm{Ca}(\mathrm{OH})_{2}$ readily absorbs water from the air. The $\mathrm{Ca}(\mathrm{OH})_{2}$ sample you weighed had been exposed to the air prior to weighing and had absorbed some water.
(d) After weighing out $\mathrm{Ca}(\mathrm{OH})_{2},$ the sample sat in an open beaker and absorbed water.
(e) You delay too long in recording the final temperature.
(f) The insulation in your coffee-cup calorimeter was poor, so some energy as heat was lost to the surroundings during the experiment.
(g) You have ignored the fact that energy as heat also raised the temperature of the stirrer and the thermometer in your system.

Elham Kordzadeh
Elham Kordzadeh
Numerade Educator
01:40

Problem 119

Sublimation of $1.0 \mathrm{g}$ of dry ice, $\mathrm{CO}_{2}(\mathrm{s}),$ forms $0.36 \mathrm{L}$ of $\mathrm{CO}_{2}(\mathrm{g})\left(\mathrm{at}-78^{\circ} \mathrm{C} \text { and } 1.01 \times 10^{5} \mathrm{Pa}\right)$
The expanding gas can do work on the surroundings (Figure 5.8 ). Calculate the amount of work done on the surroundings.

Bin Chen
Bin Chen
Numerade Educator