# A detergent solution has a pH of 11.80 at 25°C. What is the hydroxide-ion concentration?

### General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
Publisher: Cengage Learning
ISBN: 9781305580343

### General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
Publisher: Cengage Learning
ISBN: 9781305580343

#### Solutions

Chapter
Section
Chapter 15, Problem 15.77QP
Textbook Problem

## A detergent solution has a pH of 11.80 at 25°C. What is the hydroxide-ion concentration?

Expert Solution
Interpretation Introduction

Interpretation:

The concentration of hydroxide ion from the given pH value has to be determined.

Concept introduction:

pH is an logarithmic expression to express a solution is acidic, basic or neutral.  pH scale lies values between 1-14 and on which 7 is neutral, below 7 values are more acidic in nature and above 7 values are more basic in nature.

First, we have to calculate the concentration of hydronium ion by using the following formula.

[H3O+] = 10-pH

The pH is equal to -log10c

Where, c is hydrogen ion concentration in moles per liter.

Then, finally use the following formula to determine the concentration of hydroxide ion of the given solution.

[OH-] = Kw÷[H3O+]

### Explanation of Solution

The given pH is 11.80

First, the hydronium ion concentration of the given solution is obtained by substitute this value in the above formula and does some mathematical calculations as follows.

[H3O+] = 10-pH

[H3O+] = 10-11.80 = 1.58×10-12M

Now, we can determine the hydroxide ion concentration form obtained hydronium ion concentration by using the following formula

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