   # a. Calculate the molar solubility of AgBr in pure water. K sp for AgBr is 5.0 × 10 −13 . b. Calculate the molar solubility of AgBr in 3.0 M NH 3 . The overall formation constant for Ag(NH 3 ) 2 + is 1.7 × 10 7 , that is, Ag + ( a q ) + 2 N H 3 ( a q ) → A g ( N H 3 ) 2 + ( a q ) K = 1.7 × 10 7 . c. Compare the calculated solubilities from parts a and b. Explain any differences. d. What mass of AgBr will dissolve in 250.0 mL of 3.0 M NH 3 ? e. What effect does adding HNO 3 have on the solubilities calculated in parts a and b? ### 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 15, Problem 101CP
Textbook Problem
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## a. Calculate the molar solubility of AgBr in pure water. Ksp for AgBr is 5.0 × 10−13.b. Calculate the molar solubility of AgBr in 3.0 M NH3. The overall formation constant for Ag(NH3)2+ is 1.7 × 107, that is, Ag + ( a q )   +   2 N H 3 ( a q )   →   A g ( N H 3 ) 2 + ( a q ) K   =   1.7   ×   10 7   . c. Compare the calculated solubilities from parts a and b. Explain any differences.d. What mass of AgBr will dissolve in 250.0 mL of 3.0 M NH3?e. What effect does adding HNO3 have on the solubilities calculated in parts a and b?

(a)

Interpretation Introduction

Interpretation: Molar solubility of AgBr in pure water and in 3M NH3 is to be calculated. The calculated solubilities are to be compared. Mass of AgBr that will dissolve in 250ml of 3M NH3 is to be calculated. Effect of addition of HNO3 on the solubilities in the above cases is to be stated.

Concept introduction: The solubility product is the mathematical product of a substance’s dissolved ion concentration raised to its power of its stoichiometric coefficients. When sparingly soluble ionic compound releases ions in the solution, it gives relevant solubility product. The solvent is generally water.

### Explanation of Solution

Explanation

To determine: Molar solubility of AgBr in pure water.

The Molar solubility of AgBr in pure water is 7×10-7mol/L_ .

Given

The solubility product of AgBr is 5×1013 .

The equilibrium equation for the solubility of AgBr is as follows:

AgBr(s)Ag+(aq)+Br(aq) .

The number of moles of AgBr to be dissolved to reach equilibrium is considered to be x

Initialconcentration(mol/L)[Ag+]=0[Br-]=0toreachequilibriumxmoles/LdissolvesEquilibriumconcentration(mol/L<

(b)

Interpretation Introduction

Interpretation: Molar solubility of AgBr in pure water and in 3M NH3 is to be calculated. The calculated solubilities are to be compared. Mass of AgBr that will dissolve in 250ml of 3M NH3 is to be calculated. Effect of addition of HNO3 on the solubilities in the above cases is to be stated.

Concept introduction: The solubility product is the mathematical product of a substance’s dissolved ion concentration raised to its power of its stoichiometric coefficients. When sparingly soluble ionic compound releases ions in the solution, it gives relevant solubility product. The solvent is generally water.

(c)

Interpretation Introduction

Interpretation: Molar solubility of AgBr in pure water and in 3M NH3 is to be calculated. The calculated solubilities are to be compared. Mass of AgBr that will dissolve in 250ml of 3M NH3 is to be calculated. Effect of addition of HNO3 on the solubilities in the above cases is to be stated.

Concept introduction: The solubility product is the mathematical product of a substance’s dissolved ion concentration raised to its power of its stoichiometric coefficients. When sparingly soluble ionic compound releases ions in the solution, it gives relevant solubility product. The solvent is generally water.

(d)

Interpretation Introduction

Interpretation: Molar solubility of AgBr in pure water and in 3M NH3 is to be calculated. The calculated solubilities are to be compared. Mass of AgBr that will dissolve in 250ml of 3M NH3 is to be calculated. Effect of addition of HNO3 on the solubilities in the above cases is to be stated.

Concept introduction: The solubility product is the mathematical product of a substance’s dissolved ion concentration raised to its power of its stoichiometric coefficients. When sparingly soluble ionic compound releases ions in the solution, it gives relevant solubility product. The solvent is generally water.

(e)

Interpretation Introduction

Interpretation: Molar solubility of AgBr in pure water and in 3M NH3 is to be calculated. The calculated solubilities are to be compared. Mass of AgBr that will dissolve in 250ml of 3M NH3 is to be calculated. Effect of addition of HNO3 on the solubilities in the above cases is to be stated.

Concept introduction: The solubility product is the mathematical product of a substance’s dissolved ion concentration raised to its power of its stoichiometric coefficients. When sparingly soluble ionic compound releases ions in the solution, it gives relevant solubility product. The solvent is generally water.

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