Introduction to General, Organic and Biochemistry
Introduction to General, Organic and Biochemistry
11th Edition
ISBN: 9781285869759
Author: Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher: Cengage Learning
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Chapter 5, Problem 5.16P

5-16 Answer true or false.

(a) For a sample of gas at constant temperature, its pressure multiplied by its volume is a constant.

(b) For a sample of gas at constant temperature, increasing the pressure increases the volume.

(c) For a sample of gas at constant temperature, Chapter 5, Problem 5.16P, 5-16 Answer true or false. (a) For a sample of gas at constant temperature, its pressure multiplied , example  1

(d) As a gas expands at constant temperature, its volume increases.

(e) The volume of a sample of gas at constant pressure is directly proportional to its temperature—the higher its temperature, the greater its volume.

(f) A hot-air balloon rises because hot air is less dense than cooler air.

(g) For a gas sample in a container of fixed volume, an increase in temperature results in an increase in pressure.

(h) For a gas sample in a container of fixed volume, Chapter 5, Problem 5.16P, 5-16 Answer true or false. (a) For a sample of gas at constant temperature, its pressure multiplied , example  2is a constant.

(i) When steam at 100°C in an autoclave is heated to 1200C, the pressure within the autoclave increases.

(j) When a gas sample in a flexible container at constant pressure at 25°C is heated to 50°C, its volume doubles.

(k) Lowering the diaphragm causes the chest cavity to increase in volume and the pressure of air in the lungs to decrease.

(l) Raising the diaphragm decreases the volume of the chest cavity and forces air out of the lungs.

Expert Solution
Check Mark
Interpretation Introduction

(a)

Interpretation:

Find if the given statement is true or false.

“For a sample of gas at constant temperature, its pressure multiplied by its volume is a constant.”

Concept Introduction:

According to Boyle’s Law, the volume of fixed amount of gas is inversely proportional to the pressure of the gas at constant temperature. Mathematically, it is given as.

V1P.

Answer to Problem 5.16P

For a sample of gas at constant temperature, its pressure multiplied by its volume is a constant, the given statement is true.

Explanation of Solution

Given information:

For a sample of gas at constant temperature, its pressure multiplied by its volume is a constant.

We know, according to Boyle’s Law, we have.

V1P.

PV=COnstant=k.

Thus, for a sample of gas at constant temperature, its pressure multiplied by its volume is a constant.

Expert Solution
Check Mark
Interpretation Introduction

(b)

Interpretation:

Find if the given statement is true or false.

“For a sample of gas at constant temperature, increasing the pressure increases the volume.”

Concept Introduction:

According to Boyle’s Law, the volume of fixed amount of gas is inversely proportional to the pressure of the gas at constant temperature. Mathematically, it is given as.

V1P.

Answer to Problem 5.16P

For a sample of gas at constant temperature, increasing the pressure decreases the volume thus, the given statement is false.

Explanation of Solution

Given Information:

For a sample of gas at constant temperature, increasing the pressure increases the volume.

We know, according to Boyle’s Law, we have.

V1P.

That means there is an inverse relationship between volume and pressure at constant temperature. When pressure is increased, volume is decreased and vice versa.

Thus, for a sample of gas at constant temperature, increasing the pressure decreases the volume.

Expert Solution
Check Mark
Interpretation Introduction

(c)

Interpretation:

Find if the given statement is true or false.

“For a sample of gas at constant temperature, P1V1=P2V2.”

Concept Introduction:

According to Boyle’s Law, the volume of fixed amount of gas is inversely proportional to the pressure of the gas at constant temperature. Mathematically, it is given as.

V1P.

Answer to Problem 5.16P

For a sample of gas at constant temperature, P1V1=P2V2. Thus, the given statement is false.

Explanation of Solution

Given Information:

For a sample of gas at constant temperature, P1V1=P2V2.

We know, according to Boyle’s Law, we have.

V1P.

PV=COnstant=k.

We two different sets of volume and pressure of the gas is considered, the above equation becomes as follows:

P1V1=P2V2.

where P1 and V1 are initial pressure and temperature of the gas, while P2 and V2 are final pressure and temperature of the gas.

Thus, for a sample of gas at constant temperature, P1V1=P2V2.

Expert Solution
Check Mark
Interpretation Introduction

(d)

Interpretation:

Find if the given statement is true or false.

“As a gas expands at constant temperature, its volume increases.”

Concept Introduction:

According to Boyle’s Law, the volume of fixed amount of gas is inversely proportional to the pressure of the gas at constant temperature. Mathematically, it is given as.

V1P.

Answer to Problem 5.16P

As a gas expands at constant temperature, its volume increases. Thus, the given statement is true.

Explanation of Solution

Given Information:

As a gas expands at constant temperature, its volume increases.

When a gas expands, the distance between the gas particles increases. Thus, pressure decreases.

Also, we know, according to Boyle’s Law.

V1P.

Decrease in pressure increases the volume.

Thus, as a gas expands at constant temperature, its volume increases.

Expert Solution
Check Mark
Interpretation Introduction

(e)

Interpretation:

Find if the given statement is true or false.

“The volume of a gas at constant pressure is directly proportional to its temperature − the higher its temperature, the greater its volume.”

Concept Introduction:

According to Charles’s Law, for the gas held at constant pressure, the volume of gas is directly proportional to the temperature of the gas. Mathematically, it is given as.

VT.

Answer to Problem 5.16P

The volume of a gas at constant pressure is directly proportional to its temperature − the higher its temperature, the greater its volume. Thus, the given statement is true.

Explanation of Solution

Given Information:

The volume of a gas at constant pressure is directly proportional to its temperature − the higher its temperature, the greater its volume.

We know, according to Charles’s Law, we have.

VT.

There is a direct relationship between volume and temperature. As the temperature is increased, the volume is also increased.

Thus, the volume of a gas at constant pressure is directly proportional to its temperature − the higher its temperature, the greater its volume.

Expert Solution
Check Mark
Interpretation Introduction

(f)

Interpretation:

Find if the given statement is true or false.

“A hot-air balloon rises because hot air is less dense than cooler air”.

Concept Introduction:

Hot air rises because when the air is heated, it undergoes expansion. This results in the air to become less dense than the air surrounding it.

Answer to Problem 5.16P

A hot-air balloon rises because hot air is less dense than cooler air, thus, the given statement is true.

Explanation of Solution

Given information:

A hot-air balloon rises because hot air is less dense than cooler air.

Hot air rises because when the air is heated, it undergoes expansion. This results in the air to become less dense than the air surrounding it.

Thus, a hot-air balloon rises because hot air is less dense than cooler air.

Expert Solution
Check Mark
Interpretation Introduction

(g)

Interpretation:

Find if the given statement is true or false.

“For a gas sample in a container of fixed volume, an increase in temperature results in the increase in pressure.”

Concept Introduction:

According to Gay-Lussac’s Law, for the gas held at constant volume, the pressure of a given amount of gas is directly proportional to the temperature of the gas. Mathematically, it is given as.

PT.

Answer to Problem 5.16P

For a gas sample in a container of fixed volume, an increase in temperature results in the increase in pressure. Thus, the given statement is true.

Explanation of Solution

Given information:

For a gas sample in a container of fixed volume, an increase in temperature results in the increase in pressure.

We know, according to Gay Lussac’s Law, we have.

PT.

There is a direct relationship between pressure and temperature. As the temperature is increased, the pressure is also increased.

Thus, for a gas sample in a container of fixed volume, an increase in temperature results in the increase in pressure.

Expert Solution
Check Mark
Interpretation Introduction

(h)

Interpretation:

Find if the given statement is true or false.

“For a gas sample in a container of fixed volume, P×T is a constant”.

Concept Introduction:

According to Gay-Lussac’s Law, for the gas held at constant volume, the pressure of a given amount of gas is directly proportional to the temperature of the gas. Mathematically, it is given as.

PT.

Answer to Problem 5.16P

For a gas sample in a container of fixed volume, PT is a constant. Thus, the given statement is false.

Explanation of Solution

Given information:

For a gas sample in a container of fixed volume, an increase in temperature results in the increase in pressure.

We know, according to Gay Lussac’s Law, we have.

PT.

PT=COnstant.

Thus, for a gas sample in a container of fixed volume, PT is a constant.

Expert Solution
Check Mark
Interpretation Introduction

(i)

Interpretation:

Find if the given statement is true or false.

“When steam at 100C in an autoclave is heated to 120C, the pressure within the autoclave increases”.

Concept Introduction:

According to Gay-Lussac’s Law, for the gas held at constant volume, the pressure of a given amount of gas is directly proportional to the temperature of the gas. Mathematically, it is given as.

PT.

Answer to Problem 5.16P

When steam at 100C in an autoclave is heated to 120C, the pressure within the autoclave increases. Thus, the given statement is true.

Explanation of Solution

Given Information:

When steam at 100C in an autoclave is heated to 120C, the pressure within the autoclave increases.

We know, according to Gay Lussac’s Law, we have.

PT.

There is a direct relationship between pressure and temperature. As the temperature is increased, the pressure is also increased.

Thus, when steam at 100C in an autoclave is heated to 120C, the pressure within the autoclave increases.

Expert Solution
Check Mark
Interpretation Introduction

(j)

Interpretation:

Find if the given statement is true or false.

“When a gas sample in a flexible container at constant pressure at 25C is heated to 50C, its volume doubles.”

Concept Introduction:

According to Charles’s Law, for the gas held at constant pressure, the volume of gas is directly proportional to the temperature of the gas. Mathematically, it is given as.

VT.

Answer to Problem 5.16P

When a gas sample in a flexible container at constant pressure at 25C is heated to 50C, its volume doubles. Thus, the given statement is true.

Explanation of Solution

Given Information:

When a gas sample in a flexible container at constant pressure at 25C is heated to 50C, its volume doubles.

We know, according to Charles’s Law, we have.

VT.

There is a direct relationship between volume and temperature. As the temperature is increased, the volume is also increased.

Now, the temperature of the container is doubled, hence the volume of the flexible container is also doubled.

Thus, when a gas sample in a flexible container at constant pressure at 25C is heated to 50C, its volume doubles.

Expert Solution
Check Mark
Interpretation Introduction

(k)

Interpretation:

Find if the given statement is true or false.

“Lowering the diaphragm causes the chest cavity to increase in volume and the pressure of air in the lungs to decrease”.

Concept Introduction:

According to Boyle’s Law, the volume of fixed amount of gas is inversely proportional to the pressure of the gas at constant temperature. Mathematically, it is given as.

V1P.

Answer to Problem 5.16P

Lowering the diaphragm causes the chest cavity to increase in volume and the pressure of air in the lungs to decrease thus, the given statement is true.

Explanation of Solution

Given information:

Lowering the diaphragm causes the chest cavity to increase in volume and the pressure of air in the lungs to decrease.

We know, according to Boyle’s Law, we have.

V1P.

PV=COnstant=k.

Now, when diaphragm is lowered, the chest cavity is increased. This results in the increase in volume and hence pressure decreases inside the lungs.

Expert Solution
Check Mark
Interpretation Introduction

(l)

Interpretation:

Find if the given statement is true or false.

“Raising the diaphragm decreases the volume of the chest cavity and forces air out of the lungs.”

Concept Introduction:

According to Boyle’s Law, the volume of fixed amount of gas is inversely proportional to the pressure of the gas at constant temperature. Mathematically, it is given as.

V1P.

Answer to Problem 5.16P

Raising the diaphragm decreases the volume of the chest cavity and forces air out of the lungs. Thus, the given statement is true.

Explanation of Solution

Given information:

Raising the diaphragm decreases the volume of the chest cavity and forces air out of the lungs.

We know, according to Boyle’s Law, we have.

V1P.

PV=COnstant=k.

Now, when diaphragm is raised, the volume chest cavity is decreased. This results in the decrease in volume and hence pressure increased inside the lungs and air is moved out of the lungs.

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Chapter 5 Solutions

Introduction to General, Organic and Biochemistry

Ch. 5.10 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - 5-16 Answer true or false. (a) For a sample of gas...Ch. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19PCh. 5 - Prob. 5.20PCh. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Prob. 5.24PCh. 5 - 5-25 A gas in a bulb as in Figure 5-3 registers a...Ch. 5 - Prob. 5.26PCh. 5 - 5-27 A sample of the inhalation anesthetic gas...Ch. 5 - Prob. 5.28PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - 5-31 A balloon used for atmospheric research has a...Ch. 5 - Prob. 5.32PCh. 5 - 5-33 A certain quantity of helium gas is at a...Ch. 5 - 5-34 A sample of 30.0 mL of krypton gas, Kr, is at...Ch. 5 - 5-35 A 26.4-mL sample of ethylene gas, C2H4, has a...Ch. 5 - Prob. 5.36PCh. 5 - 5-37 A sample of a gas at 77°C and 1.33 atm...Ch. 5 - 5-38 What is the volume in liters occupied by 1.21...Ch. 5 - 5-39 An 8.00-g sample of a gas occupies 22.4 L at...Ch. 5 - Prob. 5.40PCh. 5 - 5-41 Does the density of a gas increase, decrease,...Ch. 5 - Prob. 5.42PCh. 5 - Prob. 5.43PCh. 5 - Prob. 5.44PCh. 5 - Prob. 5.45PCh. 5 - 5-46 Calculate the molar mass of a gas if 3.30 g...Ch. 5 - Prob. 5.47PCh. 5 - Prob. 5.48PCh. 5 - Prob. 5.49PCh. 5 - 5-50 How many molecules of CO are in 100. L of CO...Ch. 5 - Prob. 5.51PCh. 5 - Prob. 5.52PCh. 5 - Prob. 5.53PCh. 5 - 5-54 Automobile air bags are inflated by nitrogen...Ch. 5 - Prob. 5.55PCh. 5 - 5-56 The three main components of dry air and the...Ch. 5 - Prob. 5.57PCh. 5 - Prob. 5.58PCh. 5 - Prob. 5.59PCh. 5 - Prob. 5.60PCh. 5 - Prob. 5.61PCh. 5 - Prob. 5.62PCh. 5 - Prob. 5.63PCh. 5 - Prob. 5.64PCh. 5 - Prob. 5.65PCh. 5 - Prob. 5.66PCh. 5 - Prob. 5.67PCh. 5 - Prob. 5.68PCh. 5 - Prob. 5.69PCh. 5 - Prob. 5.70PCh. 5 - Prob. 5.71PCh. 5 - Prob. 5.72PCh. 5 - Prob. 5.73PCh. 5 - Prob. 5.74PCh. 5 - 5-75 The heat of vaporization of liquid Freon-12,...Ch. 5 - Prob. 5.76PCh. 5 - Prob. 5.77PCh. 5 - Prob. 5.78PCh. 5 - Prob. 5.79PCh. 5 - Prob. 5.80PCh. 5 - 5-81 Compare the number of calories absorbed when...Ch. 5 - Prob. 5.82PCh. 5 - Prob. 5.83PCh. 5 - Prob. 5.84PCh. 5 - Prob. 5.85PCh. 5 - 5-86 Using the phase diagram of water (Figure...Ch. 5 - Prob. 5.87PCh. 5 - Prob. 5.88PCh. 5 - 5-89 (Chemical Connections 5C) In a...Ch. 5 - Prob. 5.90PCh. 5 - Prob. 5.91PCh. 5 - Prob. 5.92PCh. 5 - Prob. 5.93PCh. 5 - Prob. 5.94PCh. 5 - Prob. 5.95PCh. 5 - Prob. 5.96PCh. 5 - Prob. 5.97PCh. 5 - Prob. 5.98PCh. 5 - Prob. 5.99PCh. 5 - Prob. 5.100PCh. 5 - Prob. 5.101PCh. 5 - Prob. 5.102PCh. 5 - Prob. 5.103PCh. 5 - Prob. 5.104PCh. 5 - Prob. 5.105PCh. 5 - 5-106 The normal boiling point of hexane, C6H14,...Ch. 5 - 5-107 If 60.0 g of NH3 occupies 35.1 L under a...Ch. 5 - Prob. 5.108PCh. 5 - Prob. 5.109PCh. 5 - Prob. 5.110PCh. 5 - 5-111 Diving, particularly SCUBA (Self-Contained...Ch. 5 - Prob. 5.112PCh. 5 - 5-113 Ammonia and gaseous hydrogen chloride react...Ch. 5 - 5-114 Carbon dioxide gas, saturated with water...Ch. 5 - 5-115 Ammonium nitrite decomposes upon heating to...Ch. 5 - Prob. 5.116PCh. 5 - Prob. 5.117PCh. 5 - 5-118 Isooctane, which has a chemical formula...Ch. 5 - Prob. 5.119PCh. 5 - Prob. 5.120P
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