   Chapter 16, Problem 10PS

Chapter
Section
Textbook Problem

A saturated solution of milk of magnesia. Mg(OH)2, has a pH of 10.52. What is the hydronium ion concentration of the solution? What is the hydroxide ion concentration? Is the solution acidic or basic?

Interpretation Introduction

Interpretation:

Hydronium ion and hydroxide ion concentration is to be calculated by the given pH of the solution and also determined the nature of the solution of milk of magnesia.

Concept introduction:

The pH of a solution is basically the measure of the molar concentration of the H+ ion in the solution. More the concentration of the H+ 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[H+]

The concentration of H+ ions is calculated as follows,

[H+]=10pH

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

Kw=[H+][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

Using the given pH value of the saturated solution of milk of magnesia the concentration H+ ion and OH ion is calculated below.

Given:

The pH value of a saturated solution of milk of magnesia is 10.52.

pH=log[H+]

Rearrange for [H+].

[H+]=10pH

Substitute 10.52 for pH.

[H+]=1010.52=3.02×1011 M

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

Kw=[H+][OH]

Rearrange for [OH]

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