Bundle: Introductory Chemistry: An Active Learning Approach, 6th + LMS Integrated for OWLv2, 4 terms (24 months) Printed Access Card
Bundle: Introductory Chemistry: An Active Learning Approach, 6th + LMS Integrated for OWLv2, 4 terms (24 months) Printed Access Card
6th Edition
ISBN: 9781305717428
Author: Mark S. Cracolice, Ed Peters
Publisher: Cengage Learning
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Chapter 17, Problem 9PE
Interpretation Introduction

Interpretation:

For a solution with pOH=6, the values of pH, [H+], and [OH] are to be calculated.

The correctness of the answer is to be verified.

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 relation 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 relation between the pOH value and the concentration of the hydroxide ion. Higher the concentration of hydroxide ions, lesser the value of pOH.

Expert Solution & Answer
Check Mark

Answer to Problem 9PE

The value of pH is 8.

The value of [OH] is 106M.

The value of [H+] is 108M.

Explanation of Solution

The pOH of the solution is 6.

The relationship between pOH and [OH] is shown below.

[OH]=10pOHM…(1)

Substitute the value of pOH in equation (1).

[OH]=106M

From the above calculation, it is predicted that the value of [OH] is 106M.

The equilibrium reaction for water is shown below.

H2O(l)H+(aq)+OH(aq)

For the above reaction, the ionization constant for water is shown below.

KW=[H+][OH][H2O]

Since, the concentration of H2O is very high, so it is ignored and the ionization constant for water is shown below.

KW=[H+][OH]…(2)

Where,

[ H + ] is the concentration of hydrogen ion.

[ OH ] is the concentration of hydroxide ion.

The value of KW is 1014M.

Substitute the values of KW and [OH] in equation (2).

1014=[H+]×106[H+]=1014M106M=108M

The relationship between pH and pOH is shown below.

pH+pOH=14…(3)

Substitute the value of pOH in equation (3).

pH+6=14

So, the value of pH is calculated as shown below.

pH=146=8

The answer can be verified as shown below.

The pH is calculated as 8.

Substitute the value of pH in equation (3).

8+pOH=14pOH=148=6

The [H+] is calculated as 108M.

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

1014=108×[OH][OH]=1014M108M=106M

The calculated value of [OH] is 106M.

Substitute the value of [OH] in equation (1).

[106]=10pOH

From the above calculation, it is predicted that the value of pOH is 6.

Therefore, all the calculated answers are verified.

Conclusion

The values of pH, [OH], and [H+] are 8,106M, and 108M respectively.

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Chapter 17 Solutions

Bundle: Introductory Chemistry: An Active Learning Approach, 6th + LMS Integrated for OWLv2, 4 terms (24 months) Printed Access Card

Ch. 17 - Prob. 11ECh. 17 - Prob. 12ECh. 17 - Prob. 13ECh. 17 - In the following net ionic reaction, identify each...Ch. 17 - Prob. 15ECh. 17 - Prob. 16ECh. 17 - Prob. 17ECh. 17 - Prob. 18ECh. 17 - Prob. 19ECh. 17 - Prob. 20ECh. 17 - Prob. 21ECh. 17 - Prob. 22ECh. 17 - List the following bases in order of their...Ch. 17 - Prob. 24ECh. 17 - Prob. 25ECh. 17 - Prob. 26ECh. 17 - Prob. 27ECh. 17 - Prob. 28ECh. 17 - Prob. 29ECh. 17 - Prob. 30ECh. 17 - Prob. 31ECh. 17 - Prob. 32ECh. 17 - Prob. 33ECh. 17 - Prob. 34ECh. 17 - Prob. 35ECh. 17 - Prob. 36ECh. 17 - Prob. 37ECh. 17 - Prob. 38ECh. 17 - Prob. 39ECh. 17 - Prob. 40ECh. 17 - Prob. 41ECh. 17 - Prob. 42ECh. 17 - Prob. 43ECh. 17 - Prob. 44ECh. 17 - If the pH of a solution is 8.6, is the solution...Ch. 17 - Prob. 46ECh. 17 - Prob. 47ECh. 17 - Prob. 48ECh. 17 - Prob. 49ECh. 17 - Prob. 50ECh. 17 - Prob. 51ECh. 17 - Prob. 52ECh. 17 - Prob. 53ECh. 17 - Prob. 54ECh. 17 - Prob. 55ECh. 17 - Prob. 56ECh. 17 - Prob. 57ECh. 17 - Prob. 58ECh. 17 - Prob. 59ECh. 17 - Prob. 60ECh. 17 - Prob. 61ECh. 17 - Prob. 62ECh. 17 - Prob. 63ECh. 17 - Classify each of the following statements as true...Ch. 17 - Prob. 65ECh. 17 - Explain what amphoteric means. Give an example of...Ch. 17 - Prob. 67ECh. 17 - Prob. 68ECh. 17 - Prob. 69ECh. 17 - Prob. 70ECh. 17 - Prob. 71ECh. 17 - Prob. 72ECh. 17 - Prob. 73ECh. 17 - Prob. 74ECh. 17 - Prob. 75ECh. 17 - Prob. 76ECh. 17 - According to the Arrhenius theory of acids and...Ch. 17 - Prob. 17.2TCCh. 17 - Prob. 17.3TCCh. 17 - Prob. 17.4TCCh. 17 - Write a brief description of the relationships...Ch. 17 - Prob. 2CLECh. 17 - Prob. 3CLECh. 17 - Prob. 4CLECh. 17 - Write a brief description of the relationships...Ch. 17 - Prob. 6CLECh. 17 - Prob. 7CLECh. 17 - Prob. 8CLECh. 17 - Prob. 9CLECh. 17 - Prob. 10CLECh. 17 - Prob. 11CLECh. 17 - Prob. 1PECh. 17 - Prob. 2PECh. 17 - Prob. 3PECh. 17 - Prob. 4PECh. 17 - Write the net ionic equation for the reaction...Ch. 17 - Prob. 6PECh. 17 - Prob. 7PECh. 17 - Prob. 8PECh. 17 - Prob. 9PECh. 17 - Prob. 10PECh. 17 - Prob. 11PECh. 17 - Prob. 12PECh. 17 - Prob. 13PECh. 17 - Prob. 14PECh. 17 - What are the pOH, hydroxide ion concentration, and...
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