   # Calculate the solubility of Mg(OH) 2 (K sp = 8.9 × 10 −12 ) in an aqueous solution buffered at pH = 9.42. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 19, Problem 89CWP
Textbook Problem
5 views

## Calculate the solubility of Mg(OH)2 (Ksp = 8.9 × 10−12) in an aqueous solution buffered at pH = 9.42.

Interpretation Introduction

Interpretation: The solubility of Mg(OH)2 at the given pH of the given solubility product constant is to be calculated.

Concept introduction: The concentration of hydroxide ion is calculated as,

[OH]=antilog[(14pH)]

The solubility product constant is calculated by the formula,

Ksp=[Mg2+][OH]2

To determine: The solubility of Mg(OH)2 for the given pH .

### Explanation of Solution

Given

The pH of the solution is 9.42 .

The solubility product constant, Ksp , is 8.9×1012 .

The concentration of hydroxide ion is calculated as,

[OH]=antilog[(14pH)]

Substitute the value of pH in the above equation,

[OH]=antilog[(149.42)]=antilog(4.58)=2.63×105M

The dissolution equilibrium of Mg(OH)2 is,

Mg(OH)2(s)Mg2+(aq)+2OH(aq)

The solubility of Mg(OH)2 is assumed to be x .

The concentration of the ions formed in the above reaction is shown in the table below,

Mg(OH)2(s)Mg2+(aq)+2OH(aq)Ininial(M):02.63×105Change(M):+x+2xEquilibrium(M):x2

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
When consumers guess at the calorie values in restaurant food portions, they generally overestimate. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Explain why Gf of O2 (g) is zero.

Chemistry for Engineering Students

Why are Earth-based parallax measurements limited to the nearest stars?

Horizons: Exploring the Universe (MindTap Course List)

What are sister chromatids?

Human Heredity: Principles and Issues (MindTap Course List)

What is the maximum number of bonds that a carbon atom can form?

Biology: The Dynamic Science (MindTap Course List)

A backyard swimming pool with a circular base of diameter 6.00 m is filled to depth 1.50 m. (a) Find the absolu...

Physics for Scientists and Engineers, Technology Update (No access codes included)

How does refraction permit sound to be transmitted in the ocean for thousands of miles?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin 