   # The pH of a diet soda is 432 at 25°C. What is the hydronium ion concentration in the soda? (a) 4.8 × 10 −5 M (b) 2.1×10 −10 M (c) 2.1 × 10 −4 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 16.2, Problem 2RC
Textbook Problem
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## The pH of a diet soda is 432 at 25°C. What is the hydronium ion concentration in the soda? (a) 4.8 × 10−5 M (b) 2.1×10−10 M (c) 2.1 × 10−4 M

Interpretation Introduction

Interpretation:

The diet soda pH rang was given in the satement at 250C, than hydronium ions concentration should calculated at same temprature.

Concept introduction:

A strong acid completely dissociates into its constituent ions in aqueous solution, as a result, the concentration of its ion is same as the initial concentration of that strong acid.

For example, strong acid dissociates as follows in water,

HA(aq)+H2O(l)H3O+(aq)+A(aq)

[H3O+]=[A]=[HA]

The pH of a solution is basically the measure of the molar concentration of the H+ or H3O+ ion in the solution. More the concentration of H+ or H3O+ ion in the solution, lesser will be the pH value and more acidic will be the solution.

The expression for pH is given as,

pH=log[H3O+]

The concentration of OH ions is calculated by using the ionic product of water.

Kw=[H3O+][OH]

The value of Kw is 1.0×1014 .

If pH<7 then, the solution is acidic in nature.

If pH<7 then, the solution is basic in nature.

If pH<7 then, the solution is neutral in nature.

### Explanation of Solution

The value of pH for diet soda and its concentration has calculated below.

Given

The pH range of diet soda 4.32 at 250C\

pH=log[H3O+]GivenpHrange4.32at250C4

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