Introductory Chemistry: Concepts and Critical Thinking (8th Edition)
Introductory Chemistry: Concepts and Critical Thinking (8th Edition)
8th Edition
ISBN: 9780134421377
Author: Charles H Corwin
Publisher: PEARSON
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Chapter 14, Problem 59E
Interpretation Introduction

(a)

Interpretation:

The molar hydroxide ion concentration with pH=4.55 is to be calculated.

Concept introduction:

The pH scale tells about the strength of an acid and a base. It measures the concentration of the hydrogen ions. There is an inverse relationship between the pH value and the concentration of the hydrogen ion. Higher the concentration of hydrogen ions, lesser the value of pH. There is an inverse relationship between the pOH value and the concentration of the hydroxide ion. Higher the concentration of hydroxide ions, lesser the value of pOH.

Expert Solution
Check Mark

Answer to Problem 59E

The molar hydroxide ion concentration with pH=4.55 is 3.6×1010 M.

Explanation of Solution

The relationship between pH and hydrogen ion concentration is equal to 10 raise to the power negative value of pH. It is represented as shown below.

[H+]=10pH …(1)

The given value of pH is 4.55.

Substitute the value of pH in equation (1) as shown below.

[H+]=104.55

Therefore,

[H+]=10(50.45)=100.45×105 M=2.8×105 M

The relation between hydrogen ion concentration and hydroxide ion concentration is shown below.

[H+][OH]=1014 …(2)

Substitute the value of [H+] in equation (2) as shown below.

[H+][OH]=1014(2.8×105 M)[OH]=1014

Therefore,

[OH]=10142.8×105 M=3.6×1010 M

Therefore, the calculated molar hydroxide ion concentration with pH=4.55 is calculated as 3.6×1010 M.

Conclusion

The calculated molar hydroxide ion concentration with pH=4.55 is calculated as 3.6×1010 M.

Interpretation Introduction

(b)

Interpretation:

The molar hydroxide ion concentration with pH=5.20 is to be calculated.

Concept introduction:

The pH scale tells about the strength of an acid and a base. It measures the concentration of the hydrogen ions. There is an inverse relationship between the pH value and the concentration of the hydrogen ion. Higher the concentration of hydrogen ions, lesser the value of pH. There is an inverse relationship between the pOH value and the concentration of the hydroxide ion. Higher the concentration of hydroxide ions, lesser the value of pOH.

Expert Solution
Check Mark

Answer to Problem 59E

The molar hydrogen ion concentration with pH=5.20 is 1.6×109  M.

Explanation of Solution

The relationship between pH and hydrogen ion concentration is equal to 10 raise to the power negative value of pH. It is represented as shown below.

[H+]=10pH …(1)

The value of pH is 5.20.

Substitute the value of pH in equation (1) as shown below.

[H+]=105.20=10(6.00.8)M

Therefore,

[H+]=10(6.00.80)=100.8×106 M=6.3×106 M

The relation between hydrogen ion concentration and hydroxide ion concentration is shown below.

[H+][OH]=1014 …(2)

Substitute the value of [H+] in equation (2) as shown below.

[H+][OH]=1014(6.3×106 M)[OH]=1014

Therefore,

[OH]=10146.3×106 M=1.6×109  M

Therefore, the calculated molar hydroxide ion concentration with pH=5.20 is calculated as 1.6×109  M.

Conclusion

The molar hydroxide ion concentration with pH=5.20 is calculated as 1.6×109  M.

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Chapter 14 Solutions

Introductory Chemistry: Concepts and Critical Thinking (8th Edition)

Ch. 14 - Prob. 11CECh. 14 - Prob. 12CECh. 14 - Prob. 13CECh. 14 - Prob. 14CECh. 14 - Prob. 15CECh. 14 - Prob. 16CECh. 14 - Prob. 17CECh. 14 - Prob. 1KTCh. 14 - Prob. 2KTCh. 14 - Prob. 3KTCh. 14 - Prob. 4KTCh. 14 - Prob. 5KTCh. 14 - Prob. 6KTCh. 14 - Prob. 7KTCh. 14 - Prob. 8KTCh. 14 - Prob. 9KTCh. 14 - Prob. 10KTCh. 14 - Prob. 11KTCh. 14 - Prob. 12KTCh. 14 - Prob. 13KTCh. 14 - Prob. 14KTCh. 14 - Prob. 15KTCh. 14 - Prob. 16KTCh. 14 - Prob. 17KTCh. 14 - Prob. 18KTCh. 14 - Prob. 19KTCh. 14 - Prob. 20KTCh. 14 - Prob. 21KTCh. 14 - Prob. 22KTCh. 14 - Prob. 23KTCh. 14 - Prob. 1ECh. 14 - Prob. 2ECh. 14 - Prob. 3ECh. 14 - Prob. 4ECh. 14 - Prob. 5ECh. 14 - Prob. 7ECh. 14 - Prob. 8ECh. 14 - Prob. 9ECh. 14 - Prob. 10ECh. 14 - Prob. 11ECh. 14 - Prob. 12ECh. 14 - Prob. 13ECh. 14 - Prob. 14ECh. 14 - Prob. 15ECh. 14 - Prob. 16ECh. 14 - Prob. 17ECh. 14 - Prob. 18ECh. 14 - Prob. 19ECh. 14 - Prob. 20ECh. 14 - Prob. 21ECh. 14 - Prob. 22ECh. 14 - Prob. 23ECh. 14 - Prob. 24ECh. 14 - Prob. 25ECh. 14 - Prob. 26ECh. 14 - Prob. 27ECh. 14 - Prob. 28ECh. 14 - Prob. 29ECh. 14 - Prob. 30ECh. 14 - Prob. 31ECh. 14 - Prob. 32ECh. 14 - Prob. 33ECh. 14 - Prob. 34ECh. 14 - Prob. 35ECh. 14 - Prob. 36ECh. 14 - Prob. 37ECh. 14 - Prob. 38ECh. 14 - Prob. 39ECh. 14 - Prob. 40ECh. 14 - Prob. 41ECh. 14 - Prob. 42ECh. 14 - Prob. 43ECh. 14 - Prob. 44ECh. 14 - Prob. 45ECh. 14 - Prob. 46ECh. 14 - Prob. 47ECh. 14 - Prob. 48ECh. 14 - Prob. 49ECh. 14 - Prob. 50ECh. 14 - Prob. 51ECh. 14 - Prob. 52ECh. 14 - Prob. 53ECh. 14 - Prob. 54ECh. 14 - Prob. 55ECh. 14 - Prob. 56ECh. 14 - Prob. 57ECh. 14 - Prob. 58ECh. 14 - Prob. 59ECh. 14 - Prob. 60ECh. 14 - Prob. 61ECh. 14 - Prob. 62ECh. 14 - Prob. 63ECh. 14 - Prob. 64ECh. 14 - Prob. 65ECh. 14 - Prob. 66ECh. 14 - Prob. 67ECh. 14 - Prob. 68ECh. 14 - Prob. 69ECh. 14 - Prob. 70ECh. 14 - Prob. 71ECh. 14 - Prob. 72ECh. 14 - Prob. 73ECh. 14 - Prob. 74ECh. 14 - Prob. 75ECh. 14 - Prob. 76ECh. 14 - Prob. 77ECh. 14 - Prob. 78ECh. 14 - Prob. 79ECh. 14 - Prob. 80ECh. 14 - Prob. 81ECh. 14 - Prob. 82ECh. 14 - Prob. 83ECh. 14 - Prob. 84ECh. 14 - Prob. 85ECh. 14 - Prob. 86ECh. 14 - Prob. 87ECh. 14 - Prob. 88ECh. 14 - Prob. 89ECh. 14 - Prob. 90ECh. 14 - Prob. 1STCh. 14 - Prob. 2STCh. 14 - Prob. 3STCh. 14 - Prob. 4STCh. 14 - Prob. 5STCh. 14 - Prob. 6STCh. 14 - Prob. 7STCh. 14 - Prob. 8STCh. 14 - Prob. 9STCh. 14 - Prob. 10STCh. 14 - Prob. 11STCh. 14 - Prob. 12STCh. 14 - Prob. 13STCh. 14 - Prob. 14STCh. 14 - Prob. 15STCh. 14 - Prob. 16ST
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