Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 10.4, Problem 43E

(a)

To determine

To graph: The function PV=c for c=505

(a)

Expert Solution
Check Mark

Answer to Problem 43E

The graph

Explanation of Solution

Given information: Chemistry: According to Boyle’s Law, the pressure P (in kilopascals) exerted by a gas varies inversely as the volume V (in cubic decimeters) of a gas if the temperature remains constant. That is, PV=c . Suppose the constant for oxygen at 25∘C is 505.

Calculation:

  P=505V

The graph:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.4, Problem 43E

(b)

To determine

To find: The volume of the oxygen if the pressure is 101 kilopascals.

(b)

Expert Solution
Check Mark

Answer to Problem 43E

  V=5 dm3

Explanation of Solution

Given information: Chemistry: According to Boyle’s Law, the pressure P (in kilopascals) exerted by a gas varies inversely as the volume V (in cubic decimeters) of a gas if the temperature remains constant. That is, PV=c . Suppose the constant for oxygen at 25∘C is 505.

Calculation:

  101=505VV=505101V=5 dm3

(c)

To determine

To find: The volume of the oxygen if the pressure is 50.5 kilopascals.

(c)

Expert Solution
Check Mark

Answer to Problem 43E

  V=10 dm3

Explanation of Solution

Given information: Chemistry: According to Boyle’s Law, the pressure P (in kilopascals) exerted by a gas varies inversely as the volume V (in cubic decimeters) of a gas if the temperature remains constant. That is, PV=c . Suppose the constant for oxygen at 25∘C is 505.

Calculation:

  P=505V50.5=505VV=50550.5V=10 dm3

(d)

To determine

To make: A conjecture about the effect on the volume of gas, if the pressure is halved. Study your results for part b and c.

(d)

Expert Solution
Check Mark

Answer to Problem 43E

If the pressure is halved than the volume is doubled

Explanation of Solution

Given information: Chemistry: According to Boyle’s Law, the pressure P (in kilopascals) exerted by a gas varies inversely as the volume V (in cubic decimeters) of a gas if the temperature remains constant. That is,

  PV=c . Suppose the constant for oxygen at 25∘C is 505.

Calculation:

From parts b and c,

If the pressure is halved,

Then the volume is doubled.

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Chapter 10.4, Problem 42E
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Chapter 10.4, Problem 44E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFUCh. 10.1 - Prob. 2CFUCh. 10.1 - Prob. 3CFUCh. 10.1 - Prob. 4CFUCh. 10.1 - Prob. 5CFUCh. 10.1 - Prob. 6CFUCh. 10.1 - Prob. 7CFUCh. 10.1 - Prob. 8CFUCh. 10.1 - Prob. 9CFUCh. 10.1 - Prob. 10CFU
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Prob. 12CFUCh. 10.7 - Prob. 13ECh. 10.7 - Prob. 14ECh. 10.7 - Prob. 15ECh. 10.7 - Prob. 16ECh. 10.7 - Prob. 17ECh. 10.7 - Prob. 18ECh. 10.7 - Prob. 19ECh. 10.7 - Prob. 20ECh. 10.7 - Prob. 21ECh. 10.7 - Prob. 22ECh. 10.7 - Prob. 23ECh. 10.7 - Prob. 24ECh. 10.7 - Prob. 25ECh. 10.7 - Prob. 26ECh. 10.7 - Prob. 27ECh. 10.7 - Prob. 28ECh. 10.7 - Prob. 29ECh. 10.7 - Prob. 30ECh. 10.7 - Prob. 31ECh. 10.7 - Prob. 32ECh. 10.7 - Prob. 33ECh. 10.7 - Prob. 34ECh. 10.7 - Prob. 35ECh. 10.7 - Prob. 36ECh. 10.7 - Prob. 37ECh. 10.7 - Prob. 38ECh. 10.7 - Prob. 39ECh. 10.7 - Prob. 40ECh. 10.7 - Prob. 41ECh. 10.7 - Prob. 42ECh. 10.7 - Prob. 43ECh. 10.7 - Prob. 44ECh. 10.7 - Prob. 45ECh. 10.7 - Prob. 46ECh. 10.7 - Prob. 47ECh. 10.7 - Prob. 48ECh. 10.7 - Prob. 49ECh. 10.7 - Prob. 50ECh. 10.7 - Prob. 51ECh. 10.7 - Prob. 52ECh. 10.7 - Prob. 53ECh. 10.7 - Prob. 54ECh. 10.7 - Prob. 55ECh. 10.7 - Prob. 56ECh. 10.7 - Prob. 57ECh. 10.7 - Prob. 58ECh. 10.7 - Prob. 59ECh. 10.8 - Prob. 1CFUCh. 10.8 - Prob. 2CFUCh. 10.8 - 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