   # A solution has a pH of 10.54. What is the hydronium ion concentration? (a) 2.9 × 10 −11 M (b) 2.7 × 10 −5 M (c) 10.54 M (d) 3.5 × 10 10 M ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 4.6, Problem 3RC
Textbook Problem
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## A solution has a pH of 10.54. What is the hydronium ion concentration? (a) 2.9 × 10−11 M (b) 2.7 × 10−5 M (c) 10.54 M (d) 3.5 × 1010 M

Interpretation Introduction

Interpretation:

Hydronium concentration of the given solution with pHof10.54 has to be determined.

Concept introduction:

• pH of a solution is the negative of the base -10 logarithm of the hydronium ion concentration.

pH=-log[H3O+]

• Concentration of hydronium ion [H3O+]=10-pH

### Explanation of Solution

If pH of the solution is known then it is easy to calculate the concentration of hydronium ion using the equation,

[H3O+]=10-pH

Here the given solution has a pHof10.54 , then its hydronium ion concentration [H3O+] can be calculated as follows,

[H3O+]=10-(10.54)=2.9×10-11M

Therefore the option (a) is correct.

Hydronium concentration of the given solution with pHof10

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