   # Calcium hydroxide, Ca(OH) 2 , dissolves in water to the extent of 1.78 g per liter. What is the value of K sp for Ca(OH) 2 ? C a ( O H ) 2 ( s ) ⇄ C a 2 + ( a q ) + 2 O H − ( a q ) ### 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 17, Problem 46PS
Textbook Problem
56 views

## Calcium hydroxide, Ca(OH)2, dissolves in water to the extent of 1.78 g per liter. What is the value of Ksp for Ca(OH)2? C a ( O H ) 2 ( s ) ⇄ C a 2 + ( a q ) + 2   O H − ( a q )

Interpretation Introduction

Interpretation:

Solubility product constant Ksp for Ca(OH)2 has to be calculated.

Concept introduction:

The solubility of a salt is defined as the maximum amount of salt that can be dissolved in definite amount of solvent. It is expressed in moles per liter or grams per liter. Solubility in terms of moles per liter is called molar solubility and is defined as the number of moles of solute (salt) dissolved in per liter of solution.

Solubility product constant Ksp is an equilibrium constant and is defined as the product of the equilibrium concentration of the ions of the salt raised to the power of their coefficients in the balanced chemical equation.

The expression for Ksp of a salt is given as,

AxBy(s)xAy+(aq)+yBx(aq)Ksp=[Ay+]x[Bx]y

The relation between Ksp and s is derived as follows:

EquationAxByxAy++yBxInitial(M)00Change(M)+xs+ysEquilibrium(M)xsys

Ksp=[Ay+]x[Bx]yKsp=(xs)x(ys)y=xxyy(s)x+y

Rearrange the expression for s.

(s)x+y=Kspxxyy=(Kspxxyy)1/(x+y)

Here,

• x is the coefficient of cation A+y
• y is the coefficient of anion Bx
• s is the molar solubility

Ksp is calculated by using molar solubility of the salt.

### Explanation of Solution

The solubility product constant Ksp for Ca(OH)2 is calculated below.

Given:

The solubility of Ca(OH)2 is 1.78 gl.

Ca(OH)2 when dissolved in water dissociates as follows,

Ca(OH)2(s) Ca2+(aq)+ 2OH1(aq)

From above reaction, it can be concluded that for each mole of Ca(OH)2 dissolved, one mole of Ca2+ and two moles of OH1 is produced.

Convert solubility in grams per liter to molar solubility by dividing the solubility by the molar mass of the given salt.

Molar mass of Ca(OH)2 is 74.09gmol. So molar solubility of Ca(OH)2 is

s = 1.78gl74.09 gmol= 0.024moll

This means when 0.024 moles of Ca(OH)2 is dissolved per liter of water, it produces 0.024 moles of Ca2+ and (2(0

### 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
Trabecular bone readily gives up its minerals whenever blood calcium needs replenishing. T F

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

Why have astronomers added modern constellations to the sky?

Horizons: Exploring the Universe (MindTap Course List)

A tennis player receives a shot with the ball (0.060 0 kg) traveling horizontally at 20.0 m/s and returns the s...

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

What characterizes the photic, euphotic, and disphotic zones?

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