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Chemistry and Chemical Reactivity

John C. Kotz, Paul M. Treichel, Gabriela C. Weaver

Chapter 12

Gases and Their Properties - all with Video Answers

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Chapter Questions

05:50

Problem 1

The pressure of a gas is $440 \mathrm{mm}$ Hg. Express this pressure in units of (a) atmospheres, (b) bars, and (c) kilopascals.

David Alvarez-Carbonell
David Alvarez-Carbonell
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04:50

Problem 2

The average barometric pressure at an altitude of $10 \mathrm{km}$ is
$210 \mathrm{mm}$ Hg. Express this pressure in atmospheres, bars, and kilopascals.

Matt Ryan
Matt Ryan
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08:16

Problem 3

Indicate which represents the higher pressure in each of the following pairs:
(a) $534 \mathrm{mm}$ Hg or 0.754 bar
(b) 534 mm Hg or 650 kPa
(c) 1.34 bar or $934 \mathrm{kPa}$

David Alvarez-Carbonell
David Alvarez-Carbonell
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04:33

Problem 4

Put the following in order of increasing pressure: $363 \mathrm{mm}$ $\mathrm{Hg}, 363 \mathrm{kPa}, 0.256 \mathrm{atm},$ and $0.523 \mathrm{bar}$

Matt Ryan
Matt Ryan
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03:31

Problem 5

A sample of nitrogen gas has a pressure of $67.5 \mathrm{mm} \mathrm{Hg}$ in
a $500 .$ mil. flask. What is the pressure of this gas sample when it is transferred to a 125 -mL. flask at the same temperature?

David Alvarez-Carbonell
David Alvarez-Carbonell
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03:31

Problem 6

A sample of $\mathrm{CO}_{2}$ gas has a pressure of $56.5 \mathrm{mm}$ Hg in a 125-mL. flask. The sample is transferred to a new flask, where it has a pressure of $62.3 \mathrm{mm}$ Hg at the same temperature. What is the volume of the new flask?

Matt Ryan
Matt Ryan
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05:26

Problem 7

You have $3.5 \mathrm{L}$ of $\mathrm{NO}$ at a temperature of $22.0^{\circ} \mathrm{C} .$ What volume would the NO occupy at $37^{\circ} \mathrm{C} ?$ (Assume the pressure is constant.)

David Alvarez-Carbonell
David Alvarez-Carbonell
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04:45

Problem 8

A 5.0 -m $L$, sample of $\mathrm{CO}_{2}$ gas is enclosed in a gas-tight syringe (see Figure 12.4 ) at $22^{\circ}$ C. If the syringe is immersed in an ice bath $\left(0^{\circ} \mathrm{C}\right),$ what is the new gas volume, assuming that the pressure is held constant?

Matt Ryan
Matt Ryan
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06:29

Problem 9

You have $3.6 \mathrm{L}$ of $\mathrm{H}_{2}$ gas at $380 \mathrm{mm} \mathrm{Hg}$ and $25^{\circ} \mathrm{C}$. What is the pressure of this gas if it is transferred to a 5.0 -I. flask at $0.0^{\circ} \mathrm{C} ?$

David Alvarez-Carbonell
David Alvarez-Carbonell
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05:37

Problem 10

You have a sample of $\mathrm{CO}_{2}$ in a flask A with a volume of $25.0 \mathrm{mL} .$ At $20.5^{\circ} \mathrm{C},$ the pressure of the gas is $436.5 \mathrm{mm}$ Hg. To find the volume of another flask $B$, you move the $\mathrm{CO}_{2}$ to that flask and find that its pressure is now $94.3 \mathrm{mm}$ Hg at $24.5^{\circ} \mathrm{C} .$ What is the volume of flask $\mathrm{B} ?$

Matt Ryan
Matt Ryan
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06:35

Problem 11

You have a sample of gas in a flask with a volume of 250 mL. At $25.5^{\circ} \mathrm{C}$ the pressure of the gas is $360 \mathrm{mm}$ Hg. If you decrease the temperature to $-5.0^{\circ} \mathrm{C},$ what is the gas pressure at the lower temperature?

David Alvarez-Carbonell
David Alvarez-Carbonell
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04:28

Problem 12

A sample of gas occupies $135 \mathrm{mL}$ at $22.5^{\circ} \mathrm{C} ;$ the pressure is 165 mm Hg. What is the pressure of the gas sample when it is placed in a 252 -mL flask at a temperature of $0.0^{\circ} \mathrm{C} ?$

Matt Ryan
Matt Ryan
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07:21

Problem 13

One of the cylinders of an automobile engine has a volume of $400 . \mathrm{cm}^{3} .$ The engine takes in air at a pressure of 1.00 atm and a temperature of $15^{\circ} \mathrm{C}$ and compresses the air to a volume of $50.0 \mathrm{cm}^{3}$ at $77^{\circ} \mathrm{C}$. What is the final pressure of the gas in the cylinder? (The ratio of before and after volumes - in this case, 400: 50 or $8: 1-$ is called the compression ratio.

David Alvarez-Carbonell
David Alvarez-Carbonell
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07:16

Problem 14

A helium-filled balloon of the type used in long-distance flying contains $420,000 \mathrm{ft}^{3}\left(1.2 \times 10^{7} \mathrm{L}\right)$ of helium. Suppose you fill the balloon with helium on the ground, where the pressure is $737 \mathrm{mm}$ Hg and the temperature is $16.0^{\circ} \mathrm{C} .$ When the balloon ascends to a height of 2 miles, where the pressure is only $600 .$ mm Hg and the temperature is $-33^{\circ} \mathrm{C},$ what volume is occupied by the helium gas? Assume the pressure inside the balloon matches the external pressure. Comment on the result.

Matt Ryan
Matt Ryan
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08:10

Problem 15

Nitrogen monoxide reacts with oxygen to give nitrogen dioxide.
$$2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \longrightarrow 2 \mathrm{NO}_{2}(\mathrm{g})$$
(a) If you mix $\mathrm{NO}$ and $\mathrm{O}_{2}$ in the correct stoichiometric ratio, and NO has a volume of $150 \mathrm{mL}$, what volume of O, is required (at the same pressure and temperature)?
(b) After reaction is complete between 150 mL of $\mathrm{NO}$ and the stoichiometric volume of $\mathrm{O}_{2},$ what is the volume of $\mathrm{NO}_{2}$ (at the same pressure and temperature)?

David Alvarez-Carbonell
David Alvarez-Carbonell
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04:14

Problem 16

Ethane, $\mathrm{C}_{2} \mathrm{H}_{6},$ burns in air according to the equation
$$2 \mathrm{C}_{2} \mathrm{H}_{6}(\mathrm{g})+7 \mathrm{O}_{2}(\mathrm{g}) \longrightarrow 4 \mathrm{CO}_{2}(\mathrm{g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$$
What volume of $\mathrm{O}_{2}$ (L) is required for complete reaction with $5.2 \mathrm{L}$ of $\mathrm{C}_{2} \mathrm{H}_{6}$ ? What volume of $\mathrm{H}_{2} \mathrm{O}$ vapor (L) is produced? Assume all gases are measured at the same temperature and pressure.

Matt Ryan
Matt Ryan
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08:06

Problem 17

A $1.25-\mathrm{g}$ sample of $\mathrm{CO}_{2}$ is contained in a $750 .$ -mL flask at $22.5^{\circ} \mathrm{C} .$ What is the pressure of the gas?

David Alvarez-Carbonell
David Alvarez-Carbonell
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04:00

Problem 18

A balloon holds $30.0 \mathrm{kg}$ of helium. What is the volume of the balloon if the final pressure is 1.20 atm and the temperature is $22^{\circ} \mathrm{C} ?$

Matt Ryan
Matt Ryan
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07:01

Problem 19

A flask is first evacuated so that it contains no gas at all. Then, $2.2 \mathrm{g}$ of $\mathrm{CO}_{2}$ is introduced into the flask. On warming to $22^{\circ} \mathrm{C},$ the gas exerts a pressure of $318 \mathrm{mm}$ Hg. What is the volume of the llask?

David Alvarez-Carbonell
David Alvarez-Carbonell
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04:03

Problem 20

A steel cylinder holds $1.50 \mathrm{g}$ of ethanol, $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$. What is the pressure of the ethanol vapor if the cylinder has a volume of $251 \mathrm{cm}^{3}$ and the temperature is $250^{\circ} \mathrm{C}$ ? (Assume all of the ethanol is in the vapor phase at this temperature. $)$

Matt Ryan
Matt Ryan
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07:23

Problem 21

A balloon for long-distance flying contains $1.2 \times 10^{7} \mathrm{L}$ of helium. If the helium pressure is $737 \mathrm{mm}$ Hg at $25^{\circ} \mathrm{C}$ what mass of helium (in grams) does the balloon contain? (See Study Question 14 and page 546 .)

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
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Problem 22

What mass of helium, in grams, is required to fill a $5.0-\mathrm{I}$ balloon to a pressure of 1.1 atm at $25^{\circ} \mathrm{C} ?$

Ronald Prasad
Ronald Prasad
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10:12

Problem 23

Forty miles above the earth's surface the temperature is $250 \mathrm{K}$ and the pressure is only $0.20 \mathrm{mm}$ Hg. What is the density of air (in grams per liter) at this altitude? (Assume the molar mass of air is $28.96 \mathrm{g} / \mathrm{mol} .$ )

David Alvarez-Carbonell
David Alvarez-Carbonell
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05:20

Problem 24

Diethyl ether, $\left(\mathrm{C}_{2} \mathrm{H}_{5}\right)_{2} \mathrm{O},$ vaporizes easily at room temperature. If the vapor exerts a pressure of $233 \mathrm{mm} \mathrm{Hg}$ in a flask at $25^{\circ} \mathrm{C},$ what is the density of the vapor?

Matt Ryan
Matt Ryan
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08:39

Problem 25

A gaseous organofluorine compound has a density of $0.355 \mathrm{g} / \mathrm{L}$ at $17^{\circ} \mathrm{C}$ and $189 \mathrm{mm}$ Hg. What is the molar mass of the compound?

David Alvarez-Carbonell
David Alvarez-Carbonell
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06:32

Problem 26

Chloroform is a common liquid used in the laboratory. It vaporizes readily. If the pressure of chloroform vapor in
a flask is $195 \mathrm{mm}$ Hg at $25.0^{\circ} \mathrm{C},$ and the density of the vapor is $1.25 \mathrm{g} / \mathrm{L},$ what is the molar mass of chloroform?

Matt Ryan
Matt Ryan
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08:24

Problem 27

A 1.007 -g sample of an unknown gas exerts a pressure of $715 \mathrm{mm} \mathrm{Hg}$ in a $452-\mathrm{mL}$ container at $23^{\circ} \mathrm{C} .$ What is the molar mass of the gas?

David Alvarez-Carbonell
David Alvarez-Carbonell
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06:39

Problem 28

A 0.0125 -g sample of a gas with an empirical formula of CHF $_{2}$ is placed in a 165 -mL flask. It has a pressure of $13.7 \mathrm{mm}$ Hg at $22.5^{\circ} \mathrm{C} .$ What is the molecular formula of the compound?

Matt Ryan
Matt Ryan
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12:02

Problem 29

A new boron hydride, $\mathrm{B}_{x} \mathrm{H}_{\mathrm{v}}$, has been isolated. To find its molar mass, you measure the pressure of the gas in a known volume at a known temperature. The following experimental data are collected:
Mass of gas $=12.5 \mathrm{mg}$
Pressure of gas $=24.8 \mathrm{mm} \mathrm{Hg}$ Temperature $=25^{\circ} \mathrm{C}$
Volume of flask $=125 \mathrm{mL}$
Which formula corresponds to the calculated molar mass?
(a) $\mathrm{B}_{2} \mathrm{H}_{6}$
(b) $\mathrm{B}_{4} \mathrm{H}_{10}$
(c) $\mathrm{B}_{5} \mathrm{H}_{9}$
(d) $\mathbf{B}_{6} \mathbf{H}_{10}$
(e) $\mathrm{B}_{10} \mathrm{H}_{14}$

David Alvarez-Carbonell
David Alvarez-Carbonell
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05:10

Problem 30

Acetaldehyde is a common liquid compound that vaporizes readily. Determine the molar mass of acetaldehyde from the following data:
Sample mass $=0.107 \mathrm{g} \quad$ Volume of gas $=125 \mathrm{mL}$ Temperature $=0.0^{\circ} \mathrm{C} \quad$ Pressure $=331 \mathrm{mm} \mathrm{Hg}$

Matt Ryan
Matt Ryan
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08:33

Problem 31

Iron reacts with hydrochloric acid to produce iron(II) chloride and hydrogen gas:
$$
\mathrm{Fe}(\mathrm{s})+2 \mathrm{HCl}(\mathrm{aq}) \longrightarrow \mathrm{Fe} \mathrm{Cl}_{2}(\mathrm{aq})+\mathrm{H}_{2}(\mathrm{g})
$$
The $\mathrm{H}_{2}$ gas from the reaction of $2.2 \mathrm{g}$ of iron with excess acid is collected in a $10.0-$ I. flask at $25^{\circ} \mathrm{C}$. What is the pressure of the $\mathrm{H}_{2}$ gas in this flask?

David Alvarez-Carbonell
David Alvarez-Carbonell
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03:03

Problem 32

Silane, $\operatorname{SiH}_{4},$ reacts with $\mathrm{O}_{2}$ to give silicon dioxide and water:
$$
\sin _{4}(g)+2 \mathbf{O}_{2}(g) \longrightarrow \operatorname{SiO}_{2}(s)+2 \mathbf{H}_{2} \mathbf{O}(\ell)
$$
A $5.20-\mathrm{L}$ sample of $\mathrm{SiH}_{4}$ gas at $356 \mathrm{mm}$ Hg pressure and
$25^{\circ} \mathrm{C}$ is allowed to react with $\mathrm{O}_{2}$ gas. What volume of $\mathrm{O}_{2}$ gas, in liters, is required for complete reaction if the oxygen has a pressure of $425 \mathrm{mm} \mathrm{Hg}$ at $25^{\circ} \mathrm{C} ?$

Anatole Borisov
Anatole Borisov
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08:01

Problem 33

Sodium azide, the explosive compound in automobile air bags, decomposes according to the following equation:
$$
2 \mathrm{NaN}_{3}(\mathrm{s}) \longrightarrow 2 \mathrm{Na}(\mathrm{s})+3 \mathrm{N}_{2}(\mathrm{g})
$$
What mass of sodium azide is required to provide the nitrogen needed to inflate a $75.0-\mathrm{L}$. bag to a pressure of 1.3 atm at $25^{\circ} \mathrm{C} ?$

David Alvarez-Carbonell
David Alvarez-Carbonell
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03:36

Problem 34

The hydrocarbon octane $\left(\mathrm{C}_{8} \mathrm{H}_{18}\right)$ burns to give $\mathrm{CO}_{2}$ and water vapor:
$$
2 \mathrm{C}_{8} \mathrm{H}_{18}(\mathrm{g})+25 \mathrm{O}_{2}(\mathrm{g}) \longrightarrow 16 \mathrm{CO}_{2}(\mathrm{g})+18 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
$$
If a $0.095-\mathrm{g}$ sample of octane burns completely in $\mathrm{O}_{2},$ what will be the pressure of water vapor in a $4.75-\mathrm{L}$. Thask at $30.0^{\circ} \mathrm{C} ?$ If the $\mathrm{O}_{2}$ gas needed for complete combustion was contained in a $4.75-\mathrm{L}$. flask at $22^{\circ} \mathrm{C},$ what would its pressure be?

Anatole Borisov
Anatole Borisov
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08:03

Problem 35

Hydrazine reacts with $\mathrm{O}_{2}$ according to the following equation:
$$
\mathrm{N}_{2} \mathrm{H}_{4}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \longrightarrow \mathrm{N}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\ell)
$$
Assume the $\mathrm{O}_{2}$ needed for the reaction is in a $450-\mathrm{I}$, tank at $23^{\circ} \mathrm{C} .$ What must the oxygen pressure be in the tank to have enough oxygen to consume $1.00 \mathrm{kg}$ of hydrazine completely?

David Alvarez-Carbonell
David Alvarez-Carbonell
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02:18

Problem 36

A self-contained breathing apparatus uses canisters containing potassium superoxide. The superoxide consumes the $\mathrm{CO}_{2}$ exhaled by a person and replaces it with oxygen.
$$
4 \mathrm{KO}_{2}(\mathrm{s})+2 \mathrm{CO}_{2}(\mathrm{g}) \longrightarrow 2 \mathrm{K}_{2} \mathrm{CO}_{3}(\mathrm{s})+3 \mathrm{O}_{2}(\mathrm{g})
$$
What mass of $\mathrm{KO}_{2}$, in grams, is required to react with $8.90 \mathrm{L}$ of $\mathrm{CO}_{2}$ at $22.0^{\circ} \mathrm{C}$ and $767 \mathrm{mm}$ Hg?

Anatole Borisov
Anatole Borisov
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08:42

Problem 37

What is the total pressure in atmospheres of a gas mixture that contains $1.0 \mathrm{g}$ of $\mathrm{H}_{2}$ and $8.0 \mathrm{g}$ of $\mathrm{Ar}$ in a $3.0-\mathrm{L}$ container at $27^{\circ} \mathrm{C} ?$ What are the partial pressures of the two gases?

David Alvarez-Carbonell
David Alvarez-Carbonell
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01:46

Problem 38

A cylinder of compressed gas is labeled "Composition (mole $\%): 4.5 \% \mathrm{H}_{2} \mathrm{S}, 3.0 \% \mathrm{CO}_{2},$ balance $\mathrm{N}_{2} .$ "The pressure
gauge attached to the cylinder reads 46 atm. Calculate the partial pressure of each gas, in atmospheres, in the cylinder.

Anatole Borisov
Anatole Borisov
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09:01

Problem 39

A halothane-oxygen mixture $\left(\mathrm{C}_{2} \mathrm{HBrClF}_{3}+\mathrm{O}_{2}\right)$ can be used as an anesthetic. A tank containing such a mixture has the following partial pressures: $P$ (halothane) $=$
$170 \mathrm{mm} \mathrm{Hg}$ and $P\left(\mathrm{O}_{2}\right)=570 \mathrm{mm} \mathrm{Hg}$
(a) What is the ratio of the number of moles of halothane to the number of moles of $\mathrm{O}_{2} ?$
(b) If the tank contains $160 \mathrm{g}$ of $\mathrm{O}_{2},$ what mass of $\mathrm{C}_{2} \mathrm{HBrClF}_{3}$ is present?

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
04:04

Problem 40

A collapsed balloon is filled with He to a volume of $12.5 \mathrm{I}$ at a pressure of $1.00 \mathrm{atm} .$ Oxygen, $\mathrm{O}_{2}$ is then added so that the final volume of the balloon is 26 L with a total pressure of 1.00 atm. The temperature, which remains constant throughout, is $21.5^{\circ} \mathrm{C}$
(a) What mass of He does the balloon contain?
(b) What is the final partial pressure of He in the balloon?
(c) What is the partial pressure of $\mathrm{O}_{2}$ in the balloon?
(d) What is the mole fraction of each gas?

Anatole Borisov
Anatole Borisov
Numerade Educator
13:43

Problem 41

You have two flasks of equal volume. Flask A contains $\mathrm{H}_{2}$ at $0^{\circ} \mathrm{C}$ and 1 atm pressure. Flask $\mathrm{B}$ contains $\mathrm{CO}_{2}$ gas at $25^{\circ} \mathrm{C}$ and 2 atm pressure. Compare these two gases with respect to each of the following:
(a) average kinetic energy per molecule
(b) average molecular velocity
(c) number of molecules
(d) mass of gas

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
02:47

Problem 42

Equal masses of gaseous $\mathrm{N}_{2}$ and Ar are placed in separate Thasks of equal volume at the same temperature. Tell whether each of the following statements is true or false. Briefly explain your answer in each case.
(a) There are more molecules of $\mathrm{N}_{2}$ present than atoms of Ar.
(b) The pressure is greater in the Ar flask.
(c) The Ar atoms have a greater average speed than the $\mathrm{N}_{2}$ molecules.
(d) The $\mathrm{N}_{2}$ molecules collide more frequently with the walls of the flask than do the Ar atoms.

Anatole Borisov
Anatole Borisov
Numerade Educator
05:07

Problem 43

If the speed of an oxygen molecule is $4.28 \times 10^{4} \mathrm{cm} / \mathrm{s}$ at $25^{\circ} \mathrm{C},$ what is the speed of a $\mathrm{CO}_{2}$ molecule at the same temperature?

David Alvarez-Carbonell
David Alvarez-Carbonell
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03:36

Problem 44

Calculate the rms speed for CO molecules at $25^{\circ} \mathrm{C}$. What is the ratio of this speed to that of Ar atoms at the same temperature?

Anatole Borisov
Anatole Borisov
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06:21

Problem 45

Place the following gases in order of increasing average molecular speed at $25^{\circ} \mathrm{C}: \mathrm{Ar}, \mathrm{CH}_{4}, \mathrm{N}_{2}, \mathrm{CH}_{2} \mathrm{F}_{2}$

David Alvarez-Carbonell
David Alvarez-Carbonell
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01:52

Problem 46

The reaction of $\mathrm{SO}_{2}$ with $\mathrm{Cl}_{2}$ gives dichlorine oxide, which is used to bleach wood pulp and to treat wastewater:
$$
\mathrm{SO}_{2}(\mathrm{g})+2 \mathrm{Cl}_{2}(\mathrm{g}) \longrightarrow \mathrm{OSCl}_{2}(\mathrm{g})+\mathrm{Cl}_{2} \mathrm{O}(\mathrm{g})
$$
All of the compounds involved in the reaction are gases. List them in order of increasing average speed.

Anatole Borisov
Anatole Borisov
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06:39

Problem 47

In each pair of gases below, tell which will effuse faster:
(a) $\mathrm{CO}_{2}$ or $\mathrm{F}_{2}$
(b) $\mathrm{O}_{2}$ or $\mathrm{N}_{2}$
(c) $\mathrm{C}_{2} \mathrm{H}_{4}$ or $\mathrm{C}_{2} \mathrm{H}_{6}$
(d) two chlorofluorocarbons: $\mathrm{CFCl}_{3}$ or $\mathrm{C}_{2} \mathrm{Cl}_{2} \mathrm{F}_{4}$

David Alvarez-Carbonell
David Alvarez-Carbonell
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01:29

Problem 48

Argon gas is ten times denser than helium gas at the same temperature and pressure. Which gas is predicted to effuse faster? How much faster?

David Collins
David Collins
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04:22

Problem 49

A gas whose molar mass you wish to know effuses through an opening at a rate one-third as fast as that of helium gas. What is the molar mass of the unknown gas?

David Alvarez-Carbonell
David Alvarez-Carbonell
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02:07

Problem 50

A A sample of uranium fluoride is found to effuse at the rate of $17.7 \mathrm{mg} / \mathrm{h}$. Under comparable conditions, gaseous I $_{2}$ effuses at the rate of $15.0 \mathrm{mg} / \mathrm{h} .$ What is the molar mass of the uranium fluoride? (Hint: Rates must be converted to units of moles per time.)

Marissa Turner
Marissa Turner
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15:23

Problem 51

In the text it is stated that the pressure of 8.00 mol of $\mathrm{Cl}_{2}$ in a $4.00-\mathrm{L}$ tank at $27.0^{\circ} \mathrm{C}$ should be 29.5 atm if calculated using the van der Waals's equation. Verify this result and compare it with the pressure predicted by the ideal gas law.

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
01:53

Problem 52

You want to store $165 \mathrm{g}$ of $\mathrm{CO}_{2}$ gas in a $12.5-\mathrm{L}$. tank at room temperature $\left(25^{\circ} \mathrm{C}\right) .$ Calculate the pressure the gas would have using (a) the ideal gas law and (b) the van der Waals equation. (For $\mathrm{CO}_{2}, a=3.59 \mathrm{atm} \cdot \mathrm{L}^{2} / \mathrm{mol}^{2}$ and $b=$
$0.0427 \mathrm{L} / \mathrm{mol} .)$

David Collins
David Collins
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00:56

Problem 53

Complete the following table:
(TABLE CAN'T COPY)

John Connell
John Connell
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03:16

Problem 54

You want to fill a cylindrical tank with $\mathrm{CO}_{2}$ gas at $865 \mathrm{mm}$ Hg and $25^{\circ} \mathrm{C}$. The tank is $20.0 \mathrm{m}$ long with a $10.0-\mathrm{cm}$ radius. What mass of $\mathrm{CO}_{2}$ (in grams) is required?

Anatole Borisov
Anatole Borisov
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13:05

Problem 55

On combustion, $1.0 \mathrm{L}$ of a gaseous compound of hydrogen, carbon, and nitrogen gives $2.0 \mathrm{I}$. of $\mathrm{CO}_{2}, 3.5$ L of $\mathrm{H}_{2} \mathrm{O}$ vapor, and $0.50 \mathrm{L}$ of $\mathrm{N}_{2}$ at STP. What is the empirical formula of the compound?

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
02:04

Problem 56

To what temperature, in degrees Celsius, must a 25.5 -mL. sample of oxygen at $90^{\circ} \mathrm{C}$ be cooled for its volume to decrease to 21.5 mL? Assume the pressure and mass of the gas are constant.

Anatole Borisov
Anatole Borisov
Numerade Educator
08:48

Problem 57

You have a sample of helium gas at $-33^{\circ} \mathrm{C},$ and you want to increase the average speed of helium atoms by $10.0 \% .$ To what temperature should the gas be heated to accomplish this?

David Alvarez-Carbonell
David Alvarez-Carbonell
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02:12

Problem 58

If $12.0 \mathrm{g}$ of $\mathrm{O}_{2}$ is required to inflate a balloon to a certain size at $27^{\circ} \mathrm{C},$ what mass of $\mathrm{O}_{2}$ is required to inflate it to the same size (and pressure) at $5.0^{\circ} \mathrm{C} ?$

Anatole Borisov
Anatole Borisov
Numerade Educator
13:12

Problem 59

You have two gas-filled balloons, one containing He and the other containing $\mathrm{H}_{2} .$ The $\mathrm{H}_{2}$ balloon is twice the size of the He balloon. The pressure of gas in the $\mathrm{H}_{2}$ balloon is 1 atm, and that in the He balloon is 2 atm. The $\mathrm{H}_{2}$ balloon is outside in the snow $\left(-5^{\circ} \mathrm{C}\right),$ and the He balloon is inside a warm building $\left(23^{\circ} \mathrm{C}\right)$
(a) Which balloon contains the greater number of molecules?
(b) Which balloon contains the greater mass of gas?

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
01:19

Problem 60

A bicycle tire has an internal volume of $1.52 \mathrm{I}$. and contains 0.406 mol of air. The tire will burst if its internal pressure reaches 7.25 atm. To what temperature, in degrees Celsius, does the air in the tire need to be heated to cause a blowout?

Anatole Borisov
Anatole Borisov
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05:20

Problem 61

The temperature of the atmosphere on Mars can be as high as $27^{\circ} \mathrm{C}$ at the equator at noon, and the atmospheric pressure is about $8 \mathrm{mm}$ Hg. If a spacecraft could collect
10. $\mathrm{m}^{3}$ of this atmosphere, compress it to a small volume, and send it back to Earth, how many moles would the sample contain?

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
05:24

Problem 62

If you place $2.25 \mathrm{g}$ of solid silicon in a $6.56-\mathrm{L}$. flask that contains $\mathrm{CH}_{3} \mathrm{Cl}$ with a pressure of $585 \mathrm{mm} \mathrm{Hg}$ at $25^{\circ} \mathrm{C}$
what mass of dimethyldichlorosilane, $\left(\mathrm{CH}_{3}\right)_{2} \mathrm{SiCl}_{2}(\mathrm{g}),$ can be formed?
$$\mathrm{Si}(\mathrm{s})+2 \mathrm{CH}_{3} \mathrm{Cl}(\mathrm{g}) \longrightarrow\left(\mathrm{CH}_{3}\right)_{2} \mathrm{Si} \mathrm{Cl}_{2}(\mathrm{g})$$
What pressure of $\left(\mathrm{CH}_{3}\right)_{2} \mathrm{SiCl}_{2}(\mathrm{g})$ would you expect in this same flask at $95^{\circ}$ C on completion of the reaction? (Dimethyldichlorosilane is one starting material used to make silicones, polymeric substances used as lubricants, antistick agents, and water-proofing caulk.)

Marissa Turner
Marissa Turner
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13:06

Problem 63

$\mathrm{Ni}(\mathrm{CO})_{4}$ can be made by reacting finely divided nickel with gaseous CO. If you have $\mathrm{CO}$ in a $1.50-\mathrm{L}$. flask at a pressure of $418 \mathrm{mm}$ Hg at $25.0^{\circ} \mathrm{C},$ along with $0.450 \mathrm{g}$ of $\mathrm{Ni}$ powder, what is the theoretical yield of $\mathrm{Ni}(\mathrm{CO})_{4} ?$

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
02:37

Problem 64

The gas $\mathrm{B}_{2} \mathrm{H}_{6}$ burns in air to give $\mathrm{H}_{2} \mathrm{O}$ and $\mathrm{B}_{2} \mathrm{O}_{3}$
$$
\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g}) \longrightarrow \mathrm{B}_{2} \mathrm{O}_{3}(\mathrm{s})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
$$
(a) Three gases are involved in this reaction. Place them in order of increasing molecular speed. (Assume all are at the same temperature.)
(b) A $3.26-$ I. flask contains $B_{2} H_{6}$ at a pressure of $256 \mathrm{mm}$ Hg and a temperature of $25^{\circ} \mathrm{C}$. Suppose $\mathrm{O}_{2}$ gas is added to the flask until $\mathrm{B}_{2} \mathrm{H}_{6}$ and $\mathrm{O}_{2}$ are in the correct stoichiometric ratio for the combustion reaction. At this point, what is the partial pressure of $\mathrm{O}_{2} ?$

David Collins
David Collins
Numerade Educator
10:23

Problem 65

You have four gas samples:
1. $1.0 \mathrm{L}$ of $\mathrm{H}_{2}$ at $\mathrm{STP}$
2. $1.0 \mathrm{L}$ of $\mathrm{Ar}$ at $\mathrm{STP}$
3. $1.0 \mathrm{L}$ of $\mathrm{H}_{2}$ at $27^{\circ} \mathrm{C}$ and $760 \mathrm{mm} \mathrm{Hg}$
4. $1.0 \mathrm{L}$ of He at $0^{\circ} \mathrm{C}$ and $900 \mathrm{mm} \mathrm{Hg}$
(a) Which sample has the largest number of gas particles (atoms or molecules)?
(b) Which sample contains the smallest number of particles?
(c) Which sample represents the largest mass?

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
01:25

Problem 66

An automobile tire has a volume of 17 L. What mass of air is contained in the tire at $25^{\circ} \mathrm{C}$ and a pressure of 3.2 atm? (Molar mass of air $=28.96 \mathrm{g} / \mathrm{mol}$.)

Anatole Borisov
Anatole Borisov
Numerade Educator
07:47

Problem 67

Diborane, $\mathrm{B}_{2} \mathrm{H}_{6},$ reacts with oxygen to give boric oxide and water vapor.
$$
\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g}) \longrightarrow \mathrm{B}_{2} \mathrm{O}_{3}(\mathrm{s})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
$$
If you $\operatorname{mix} \mathrm{B}_{2} \mathrm{H}_{6}$ and $\mathrm{O}_{2}$ in the correct stoichiometric ratio, and if the total pressure of the mixture is $228 \mathrm{mm} \mathrm{Hg}$, what are the partial pressures of $\mathrm{B}_{2} \mathrm{H}_{6}$ and $\mathrm{O}_{2}$ ? If the temperature and volume do not change, what is the pressure of the water vapor?

David Alvarez-Carbonell
David Alvarez-Carbonell
Numerade Educator
02:54

Problem 68

Analysis of a gaseous chlorofluorocarbon, $\mathrm{CCl}_{2} \mathrm{F}_{2}$, shows that it contains $11.79 \%$ C and $69.57 \%$ Cl. In another experiment you find that $0.107 \mathrm{g}$ of the compound fills a $458-\mathrm{mL}$. flask at $25^{\circ} \mathrm{C}$ with a pressure of $21.3 \mathrm{mm}$ Hg. What is the molecular formula of the compound?

David Collins
David Collins
Numerade Educator
02:03

Problem 69

There are five compounds in the family of sulfur-fluorine compounds with the general formula $\mathrm{S}_{x} \mathrm{F}_{y}$. One of these compounds is $25.23 \%$ S. If you place 0.0955 g of the compound in a $89-\mathrm{mL}$. flask at $45^{\circ} \mathrm{C},$ the pressure of the gas is $83.8 \mathrm{mm}$ Hg. What is the molecular formula of $\mathrm{S}_{x} \mathrm{F}_{y}^{2}$

David Collins
David Collins
Numerade Educator
08:22

Problem 70

A miniature volcano can be made in the laboratory with ammonium dichromate. When ignited, it decomposes in a fiery display.
$$
\left(\mathrm{NH}_{4}\right)_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}(\mathrm{s}) \longrightarrow \mathrm{N}_{2}(\mathrm{g})+4 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})+\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s})
$$
If $0.95 \mathrm{g}$ of ammonium dichromate is used, and if the gases from this reaction are trapped in a $15.0-$ L flask at
$23^{\circ} \mathrm{C},$ what is the total pressure of the gas in the flask? What are the partial pressures of $\mathrm{N}_{2}$ and $\mathrm{H}_{2} \mathrm{O} ?$
(FIGURE CAN'T COPY)

Dr.  Satish  Ingale
Dr. Satish Ingale
Numerade Educator
02:26

Problem 71

Iron carbonyl can be made by the direct reaction of iron metal and carbon monoxide.
$$
\mathrm{Fe}(\mathrm{s})+5 \mathrm{CO}(\mathrm{g}) \longrightarrow \mathrm{Fe}(\mathrm{CO})_{5}(\ell)
$$
What is the theoretical yield of $\mathrm{Fe}(\mathrm{CO})_{5}$, if $3.52 \mathrm{g}$ of iron is treated with CO gas having a pressure of $732 \mathrm{mm}$ Hg in a
$5.50-$ I. Hask at $23^{\circ} \mathrm{C} ?$

David Collins
David Collins
Numerade Educator
01:41

Problem 72

You are given a solid mixture of $\mathrm{NaNO}_{2}$ and $\mathrm{NaCl}$ and are asked to analyze it for the amount of NaNO, present. To do so you allow the mixture to react with sulfamic acid, $\mathrm{HSO}_{3} \mathrm{NH}_{2},$ in water according to the equation $\mathrm{NaNO}_{2}(\mathrm{aq})+\mathrm{HSO}_{3} \mathrm{NH}_{2}(\mathrm{aq}) \longrightarrow$
$$
\mathrm{NaHSO}_{4}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{O}(\ell)+\mathrm{N}_{2}(\mathrm{g})
$$
What is the weight percentage of $\mathrm{NaNO}_{2}$ in $1.232 \mathrm{g}$ of the solid mixture if reaction with sulfamic acid produces $295 \mathrm{mL}$ of $\mathrm{N}_{2}$ gas with a pressure of $713 \mathrm{mm} \mathrm{Hg}$ at $21.0^{\circ} \mathrm{C} ?$

David Collins
David Collins
Numerade Educator
06:14

Problem 73

The density of air $20 \mathrm{km}$ above the earth's surface is
$92 \mathrm{g} / \mathrm{m}^{3} .$ The pressure of the atmosphere is $42 \mathrm{mm} \mathrm{Hg}$ and the temperature is $-63^{\circ} \mathrm{C}$
(a) What is the average molar mass of the atmosphere at this altitude?
(b) If the atmosphere at this altitude consists of only $\mathrm{O}_{2}$ and $\mathrm{N}_{2}$, what is the mole fraction of each gas?

Marissa Turner
Marissa Turner
Numerade Educator
02:04

Problem 74

A $3.0-$ -bulb containing He at 145 mm Hg is connected by a valve to a 2.0 -L. bulb containing Ar at 355 mm Hg. (See the accompanying figure.) Calculate the partial pressure of each gas and the total pressure after the valve between the flasks is opened.
(FIGURE CAN'T COPY)

Anatole Borisov
Anatole Borisov
Numerade Educator
01:26

Problem 75

Phosphine gas, $\mathrm{PH}_{3},$ is toxic when it reaches a concentration of $7 \times 10^{-5} \mathrm{mg} / \mathrm{L} .$ To what pressure does this correspond at $25^{\circ} \mathrm{C} ?$

David Collins
David Collins
Numerade Educator
02:25

Problem 76

A xenon fluoride can be prepared by heating a mixture of Xe and $\mathrm{F}_{2}$ gases to a high temperature in a pressure-proof container. Assume that xenon gas was added to a $0.25-\mathrm{L}$ container until its pressure reached 0.12 atm at $0.0^{\circ} \mathrm{C}$ Fluorine gas was then added until the total pressure reached 0.72 atm at $0.0^{\circ} \mathrm{C}$. After the reaction was complete, the xenon was consumed completely and the pressure of the $\mathrm{F}_{2}$ remaining in the container was $0.36 \mathrm{atm}$ at $0.0^{\circ} \mathrm{C} .$ What is the empirical formula of the xenon fluoride?

David Collins
David Collins
Numerade Educator
05:32

Problem 77

Chlorine dioxide, $\mathrm{ClO}_{2}$, reacts with fluorine to give a new gas that contains $\mathrm{Cl}, \mathrm{O},$ and $\mathrm{F}$. In an experiment you find that $0.150 \mathrm{g}$ of this new gas has a pressure of $17.2 \mathrm{mm}$ Hg in a 1850 -mL. flask at $21^{\circ} \mathrm{C}$. What is the identity of the unknown gas?

Marissa Turner
Marissa Turner
Numerade Educator
01:35

Problem 78

A balloon at the circus is filled with helium gas to a gauge pressure of $22 \mathrm{mm}$ Hg at $25^{\circ} \mathrm{C}$. The volume of the gas is $305 \mathrm{mL},$ and the barometric pressure is $755 \mathrm{mm}$ Hg. What amount of helium is in the balloon? (Remember that gauge pressure $=$ total pressure - barometric pressure. See page $550 .)$

Anatole Borisov
Anatole Borisov
Numerade Educator
01:20

Problem 79

Acetylene can be made by allowing calcium carbide to react with water:
$$
\mathrm{CaC}_{2}(\mathrm{s})+2 \mathrm{H}_{2} \mathrm{O}(\ell) \longrightarrow \mathrm{C}_{2} \mathrm{H}_{2}(\mathrm{g})+\mathrm{Ca}(\mathrm{OH})_{2}(\mathrm{s})
$$
Suppose you react $2.65 \mathrm{g}$ of $\mathrm{CaC}_{2}$ with excess water. If you collect the acetylene and find that the gas has a volume of $795 \mathrm{mL}$ at $25.2^{\circ} \mathrm{C}$ with a pressure of $735.2 \mathrm{mm} \mathrm{Hg},$ what is the percent yield of acetylene?

David Collins
David Collins
Numerade Educator
03:51

Problem 80

If you have a sample of water in a closed container, some of the water will evaporate until the pressure of the water vapor, at $25^{\circ} \mathrm{C},$ is $23.8 \mathrm{mm}$ Hg. How many molecules of water per cubic centimeter exist in the vapor phase?

Anatole Borisov
Anatole Borisov
Numerade Educator
01:59

Problem 81

You are given $1.56 \mathrm{g}$ of a mixture of $\mathrm{KClO}_{3}$ and $\mathrm{KCl}$. When heated, the KClOs decomposes to KCl and $\mathrm{O}_{2}$,
$$
2 \mathrm{KClO}_{3}(\mathrm{s}) \longrightarrow 2 \mathrm{KCl}(\mathrm{s})+3 \mathrm{O}_{2}(\mathrm{g})
$$
and $327 \mathrm{mL}$ of $\mathrm{O}_{2}$ with a pressure of $735 \mathrm{mm} \mathrm{Hg}$ is collected at $19^{\circ} \mathrm{C}$. What is the weight percentage of $\mathrm{KClO}_{3}$ in the sample?

David Collins
David Collins
Numerade Educator
01:18

Problem 82

A A study of climbers who reached the summit of Mount Everest without supplemental oxygen showed that the partial pressures of $\mathrm{O}_{2}$ and $\mathrm{CO}_{2}$ in their lungs were $35 \mathrm{mm}$ Hg and $7.5 \mathrm{mm}$ Hg, respectively. The barometric pressure at the summit was $253 \mathrm{mm}$ Hg. Assume the lung gases are saturated with moisture at a body temperature of $37^{\circ} \mathrm{C}$ [which means the partial pressure of water vapor in the lungs is $P\left(\mathrm{H}_{2} \mathrm{O}\right)=47.1 \mathrm{mm} \mathrm{Hg}$ ]. If you assume the lung gases consists of only $\mathrm{O}_{2}, \mathrm{N}_{2}, \mathrm{CO}_{2},$ and $\mathrm{H}_{2} \mathrm{O},$ what is the partial pressure of $\mathrm{N}_{2} ?$

David Collins
David Collins
Numerade Educator
02:02

Problem 83

Nitrogen monoxide reacts with oxygen to give nitrogen dioxide:
$$
2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g}) \longrightarrow 2 \mathrm{NO}_{2}(\mathrm{g})
$$
(a) Place the three gases in order of increasing rms speed at $298 \mathrm{K}$
(b) If you mix $\mathrm{NO}$ and $\mathrm{O}_{2}$ in the correct stoichiometric ratio, and NO has a partial pressure of $150 \mathrm{mm} \mathrm{Hg}$ what is the partial pressure of $\mathrm{O}_{2} ?$
(c) After reaction between $\mathrm{NO}$ and $\mathrm{O}_{2}$ is complete, what is the pressure of $\mathrm{NO}_{2}$ if the NO originally had a pres. sure of $150 \mathrm{mm} \mathrm{Hg}$ and $\mathrm{O}_{2}$ was added in the correct stoichiometric amount?

David Collins
David Collins
Numerade Educator
02:38

Problem 84

Ammonia gas is synthesized by combining hydrogen and nitrogen:
$$
3 \mathrm{H}_{2}(\mathrm{g})+\mathrm{N}_{2}(\mathrm{g}) \longrightarrow 2 \mathrm{NH}_{3}(\mathrm{g})
$$
(a) If you want to produce 562 g of $\mathrm{NH}_{3}$, what volume of $\mathrm{H}_{2}$ gas, at $56^{\circ} \mathrm{C}$ and $745 \mathrm{mm} \mathrm{Hg}$, is required?
(b) To produce 562 g of $\mathrm{NH}_{3},$ what volume of air (the source of $\mathrm{N}_{2}$ ) is required if the air is introduced at
$29^{\circ} \mathrm{C}$ and $745 \mathrm{mm}$ Hg? (Assume the air sample has $\left.78.1 \text { mole } \% N_{2} .\right)$

David Collins
David Collins
Numerade Educator
04:27

Problem 85

You have a $550-\mathrm{ml}$. tank of gas with a pressure of 1.56 atm at $24^{\circ} \mathrm{C}$. You thought the gas was pure carbon monoxide gas, $\mathrm{CO}$, but you later found it was contaminated by
small quantities of gaseous $\mathrm{CO}_{2}$ and $\mathrm{O}_{2}$. Analysis shows that the tank pressure is 1.34 atm (at $24^{-} \mathrm{C}$ ) if the $\mathrm{CO}_{2}$ is
removed. Another experiment shows that $0.0870 \mathrm{~g}$ of $\mathrm{O}_{2}$ can be removed chemically. What are the masses of $\mathrm{CO}$
and $\mathrm{CO}_{2}$ in the tank, and what is the partial pressure of each of the three gases at $25^{\circ} \mathrm{C}$ ?

David Collins
David Collins
Numerade Educator
02:02

Problem 86

Methane is burned in a laboratory Bunsen burner to give $\mathrm{CO}_{2}$ and water vapor. Methane gas is supplied to the burner at the rate of $5.0 \mathrm{L} / \mathrm{min}$ (at a temperature of $28^{\circ} \mathrm{C}$ and a pressure of $773 \mathrm{mm} \mathrm{Hg}$ ). At what rate must oxygen be supplicd to the burner (at a pressure of $742 \mathrm{mm} \mathrm{Hg}$ and a temperature of $26^{\circ} \mathrm{C}$ ) $?$

David Collins
David Collins
Numerade Educator
04:24

Problem 87

Aron forms a series of compounds of the type $\mathrm{Fe}_{x}(\mathrm{CO})_{x}$ In air they are oxidized to $\mathrm{Fe}_{2} \mathrm{O}_{3}$ and $\mathrm{CO}_{2}$ gas. After heating a $0.142-\mathrm{g}$ sample of $\mathrm{Fe}_{x}(\mathrm{CO})_{2}$ in air, you isolate the $\mathrm{CO}_{2}$ in a $1.50-$ L. flask at $25^{\circ} \mathrm{C}$. The pressure of the gas is 44.9 mm Hg. What is the formula of $\mathrm{Fe}_{x}(\mathrm{CO}), ?$

David Collins
David Collins
Numerade Educator
03:02

Problem 88

Group 2 A metal carbonates are decomposed to the metal oxide and $\mathrm{CO}_{2}$ on heating:
$$
\mathrm{MCO}_{3}(\mathrm{s}) \longrightarrow \mathrm{MO}(\mathrm{s})+\mathrm{CO}_{2}(\mathrm{g})
$$
You heat $0.158 \mathrm{g}$ of a white, solid carbonate of a Group $2 \mathrm{A}$ metal (M) and find that the evolved $\mathrm{CO}_{2}$ has a pressure of $69.8 \mathrm{mm} \mathrm{Hg}$ in a $285-\mathrm{mL}$. Hask at $25^{\circ} \mathrm{C} .$ Identify $\mathrm{M}$.

David Collins
David Collins
Numerade Educator
00:59

Problem 89

Silane, $\mathrm{SiH}_{4},$ reacts with $\mathrm{O}_{2}$ to give silicon dioxide and water vapor:
$$
\mathrm{SiH}_{4}(\mathrm{g})+2 \mathrm{O}_{2}(\mathrm{g}) \longrightarrow \mathrm{SiO}_{2}(\mathrm{s})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})
$$
If you mix $\mathrm{SiH}_{4}$ with $\mathrm{O}_{2}$ in the correct stoichiometric ratio, and if the total pressure of the mixture is $120 \mathrm{mm} \mathrm{Hg}$, what are the partial pressures of $\mathrm{SiH}_{4}$ and $\mathrm{O}_{2} ?$ When the reactants have been completely consumed, what is the total pressure in the flask? (Assume T is constant.)

David Collins
David Collins
Numerade Educator
03:07

Problem 90

Chlorine trifluoride, $\mathrm{ClF}_{3}$, is a valuable reagent because it can be used to convert metal oxides to metal fluorides:
$6 \mathrm{NiO}(\mathrm{s})+4 \mathrm{ClF}_{3}(\mathrm{g}) \longrightarrow 6 \mathrm{NiF}_{2}(\mathrm{s})+2 \mathrm{Cl}_{2}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g})$
(a) What mass of NiO will react with CIF a gas if the gas has
a pressure of $250 \mathrm{mm} \mathrm{Hg}$ at $20^{\circ} \mathrm{C}$ in a $2.5-\mathrm{L}$. flask?
(b) If the CIF a described in part (a) is completely consumed, what are the partial pressures of $\mathrm{Cl}_{2}$ and of $\mathrm{O}_{2}$ in the 2.5 -L. flask at $20^{\circ} \mathrm{C}$ (in $\mathrm{mm}$ Hg)? What is the total pressure in the flask?

David Collins
David Collins
Numerade Educator
01:44

Problem 91

One way to synthesize diborane, $\mathrm{B}_{2} \mathrm{H}_{6}$, is the reaction
$2 \mathrm{NaBH}_{4}(\mathrm{s})+2 \mathrm{H}_{3} \mathrm{PO}_{4}(\mathrm{aq}) \longrightarrow$
$$
\mathrm{B}_{2} \mathrm{H}_{6}(\mathrm{g})+2 \mathrm{NaH}_{2} \mathrm{PO}_{4}(\mathrm{aq})+2 \mathrm{H}_{2}(\mathrm{g})
$$
(a) If you have $0.136 \mathrm{g}$ of $\mathrm{NaBH}_{4}$ and excess $\mathrm{H}_{3} \mathrm{PO}_{4},$ and you collect the $\mathrm{B}_{2} \mathrm{H}_{6}$ in a 2.75 L. flask at $25^{\circ} \mathrm{C},$ what is the pressure of the $\mathrm{B}_{2} \mathrm{H}_{6}$ in the flask?
(b) A byproduct of the reaction is $\mathrm{H}_{2}$ gas. If both $\mathrm{B}_{2} \mathrm{H}_{6}$ and H $_{2}$ gas come from this reaction, what is the total pressure in the 2.75 -L. flask (after reaction of $0.136 \mathrm{g}$ of NaBH, with excess $\mathrm{H}_{3} \mathrm{PO}_{4}$ ) at $25^{\circ} \mathrm{C} ?^{2}$

David Collins
David Collins
Numerade Educator
01:27

Problem 92

Calcium carbide reacts with water to produce acetylene and calcium hydroxide:
$$
\mathrm{CaC}_{2}(\mathrm{s})+2 \mathrm{H}_{2} \mathrm{O}(\ell) \longrightarrow \mathrm{C}_{2} \mathrm{H}_{2}(\mathrm{g})+\mathrm{Ca}(\mathrm{OH})_{2}(\mathrm{s})
$$
Suppose you combine $13.0 \mathrm{g}$ of $\mathrm{CaC}_{2}$ with $4.65 \mathrm{g}$ of water and collect the acetylene in a $4.66-\mathrm{L}$. flask. What is the pressure of the acetylene at $23^{\circ} \mathrm{C} ?$

David Collins
David Collins
Numerade Educator
04:42

Problem 93

A You have $1.249 \mathrm{g}$ of a mixture of $\mathrm{NaHCO}_{3}$ and $\mathrm{Na}_{2} \mathrm{CO}_{3}$ You find that $12.0 \mathrm{mL}$ of $1.50 \mathrm{M} \mathrm{HCl}$ is required to convert the sample completely to $\mathrm{NaCl}, \mathrm{H}_{2} \mathrm{O},$ and $\mathrm{CO}_{2}$ $\mathrm{NaHCO}_{3}(\mathrm{aq})+\mathrm{HCl}(\mathrm{aq}) \longrightarrow$
$$
\mathrm{NaCl}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{O}(\ell)+\mathrm{CO}_{2}(\mathrm{g})
$$
$\mathrm{Na}_{2} \mathrm{CO}_{3}(\mathrm{aq})+2 \mathrm{HCl}(\mathrm{aq}) \longrightarrow$
$$
2 \mathrm{NaCl}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{O}(\ell)+\mathrm{CO}_{2}(\mathrm{g})
$$
What volume of $\mathrm{CO}_{2}$ is evolved at $745 \mathrm{mm}$ Hg and $25^{\circ} \mathrm{C} ?$

David Collins
David Collins
Numerade Educator
04:04

Problem 94

A A mixture of $\mathrm{NaHCO}_{3}$ and $\mathrm{Na}_{2} \mathrm{CO}_{3}$ has a mass of $2.50 \mathrm{g}$. When treated with HCl(aq), 665 mL of $\mathrm{CO}_{2}$ gas is liberated with a pressure of $735 \mathrm{mm} \mathrm{Hg}$ at $25^{\circ} \mathrm{C}$. What is the weight percent of $\mathrm{NaHCO}_{3}$ and $\mathrm{Na}_{2} \mathrm{CO}_{3}$ in the mixture? (See Study Question 93 for the reactions that occur.)

David Collins
David Collins
Numerade Educator
02:52

Problem 95

A Relative humidity is the ratio of the partial pressure of water in air at a given temperature to the vapor pressure of water at that temperature. Calculate the mass of water per liter of air under the following conditions.
(a) at $20^{\circ} \mathrm{C}$ and $45 \%$ relative humidity
(b) at $0^{\circ} \mathrm{C}$ and $95 \%$ relative humidity Under which circumstances is the mass of $\mathrm{H}_{2} \mathrm{O}$ per liter greater? (See Appendix G for the vapor pressure of water.)

David Collins
David Collins
Numerade Educator
02:06

Problem 96

How much water vapor is present in a dormitory room when the relative humidity is $55 \%$ and the temperature is $23^{\circ} \mathrm{C} ?$ The dimensions of the room are $4.5 \mathrm{m}^{2}$ floor area and 3.5 m ceiling height. (See Study Question 95 for a definition of relative humidity and Appendix G for the vapor pressure of water.)

David Collins
David Collins
Numerade Educator
01:06

Problem 97

A $1.0-$ L flask contains $10.0 \mathrm{g}$ each of $\mathrm{O}_{2}$ and $\mathrm{CO}_{2}$ at $25^{\circ} \mathrm{C}$
(a) Which gas has the greater partial pressure, $\mathbf{O}_{2}$ or $\mathbf{C O}_{2}$ or are they the same?
(b) Which molecules have the greater average speed, or are they the same?
(c) Which molecules have the greater average kinetic energy, or are they the same?

David Collins
David Collins
Numerade Educator
01:12

Problem 98

If equal masses of $\mathrm{O}_{2}$ and $\mathrm{N}_{2}$ are placed in separate containers of equal volume at the same temperature, which of the following statements is true? If false, tell why it is false.
(a) The pressure in the flask containing $\mathrm{N}_{2}$ is greater than that in the llask containing $\mathbf{O}_{2}$
(b) There are more molecules in the flask containing $\mathrm{O}_{2}$ than in the flask containing $\mathbf{N}_{2}$

Anatole Borisov
Anatole Borisov
Numerade Educator
01:07

Problem 99

You have two pressure-proof steel cylinders of equal volume, one containing $1.0 \mathrm{kg}$ of $\mathrm{CO}$ and the other containing $1.0 \mathrm{kg}$ of acetylenc, $\mathrm{C}_{2} \mathrm{H}_{2}$
(a) In which cylinder is the pressure greater at $25^{\circ} \mathrm{C} ?$
(b) Which cylinder contains the greater number of molecules?

David Collins
David Collins
Numerade Educator
01:09

Problem 100

Two flasks, each with a volume of $1.00 \mathrm{L},$ contain $\mathrm{O}_{2}$ gas with a pressure of $380 \mathrm{mm}$ Hg. Flask $\mathrm{A}$ is at $25^{\circ} \mathrm{C},$ and flask $\mathrm{B}$ is at $0^{\circ} \mathrm{C}$. Which flask contains the greater number of $\mathrm{O}_{2}$ molecules?

Anatole Borisov
Anatole Borisov
Numerade Educator
01:33

Problem 101

A State whether each of the following samples of matter is a gas. If there is not enough information for you to decide, write "insufficient information."
(a) A material is in a steel tank at 100 atm pressure. When the tank is opened to the atmosphere, the material suddenly expands, increasing its volume by $10 \%$
(b) A 1.0 -mL sample of material weighs $8.2 \mathrm{g}$
(c) The material is transparent and pale green in color.
(d) One cubic meter of material contains as many molecules as $1.0 \mathrm{m}^{3}$ of air at the same temperature and pressure.

David Collins
David Collins
Numerade Educator
04:24

Problem 102

Each of the four tires of a car is filled with a different gas. Each tire has the same volume, and each is filled to the same pressure, 3.0 atm, at $25^{\circ} \mathrm{C}$. One tire contains $116 \mathrm{g}$ of air, another tire has $80.7 \mathrm{g}$ of neon, another tire has $16.0 \mathrm{g}$ of helium, and the fourth tire has $160 . \mathrm{g}$ of an unknown gas.
(a) Do all four tires contain the same number of gas molecules? If not, which one has the greatest number of molecules?
(b) How many times heavier is a molecule of the unknown gas than an atom of helium?
(c) In which tire do the molecules have the largest kinetic energy? The highest average speed?

Anatole Borisov
Anatole Borisov
Numerade Educator
03:04

Problem 103

The sodium azide required for automobile air bags is made by the reaction of sodium metal with dinitrogen oxide in liquid ammonia:
$3 \mathrm{N}_{2} \mathrm{O}(\mathrm{g})+4 \mathrm{Na}(\mathrm{s})+\mathrm{NH}_{3}(\ell) \longrightarrow$
$$
\mathrm{NaN}_{3}(\mathrm{s})+3 \mathrm{NaOH}(\mathrm{s})+2 \mathrm{N}_{2}(\mathrm{g})
$$
(a) You have $65.0 \mathrm{g}$ of sodium and a $35.0-\mathrm{L}$. flask containing $\mathrm{N}_{2}$ O gas with a pressure of 2.12 atm at $23^{\circ} \mathrm{C}$ What is the theoretical yield (in grams) of NaNg?
(b) Draw a Lewis structure for the azide ion. Include all possible resonance structures. Which resonance structure is most likely?
(c) What is the shape of the azide ion?

David Collins
David Collins
Numerade Educator
06:23

Problem 104

A Chlorine gas $\left(\mathrm{Cl}_{2}\right)$ is used as a disinfectant in municipal water supplies, although chlorine dioxide $\left(\mathrm{ClO}_{2}\right)$ and
ozone are becoming more widely used. $\mathrm{ClO}_{2}$ is a better
choice than $\mathrm{Cl}_{2}$ in this application because it leads to fewer chlorinated byproducts, which are themselves polTutants.
(a) How many valence electrons are in $\mathrm{ClO}_{2} ?$
(b) The chlorite ion, $\mathrm{ClO}_{2}^{-}$, is obtained by reducing $\mathrm{ClO}_{2} .$ Draw a possible electron dot structure for $\mathrm{ClO}_{2}^{-},(\mathrm{Cl} \text { is the central atom. })$
(c) What is the hybridization of the central Cl atom in $\mathrm{ClO}_{2}^{-} ?$ What is the shape of the ion?
(d) Which species has the larger bond angle, $\mathrm{O}_{3}$ or $\mathrm{ClO}_{2}^{-} ?$ Explain bricfly.
(e) Chlorine dioxide, $\mathrm{ClO}_{2},$ a yellow-green gas, can be made by the reaction of chlorine with sodium chlorite:

David Collins
David Collins
Numerade Educator
00:44

Problem 105

If the absolute temperature of a gas doubles, by how much does the average speed of the gaseous molecules increase? (See General ChemistryNow Screen $12.9 .$ )

David Collins
David Collins
Numerade Educator
01:51

Problem 106

Screen 12.10 of the General ChemistryNow CD-ROM or website shows animations describing the following relationships on the molecular scale: $P$ versus $n, P$ versus $T$ and $P$ versus $V$. Sketch a molecular-scale animation for the relationship between $n$ and $V$

Anatole Borisov
Anatole Borisov
Numerade Educator