Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### Formation of Ksp (Solubility Product Constant)
**Problem Statement:**
Write the Ksp expression of:
a) AgNO2 (s)
b) Ag2SO4 (s)
**Solution:**
The Ksp expression for a compound is written based on its solubility equilibrium. The solubility product constant (Ksp) is an equilibrium constant that applies to the dissolution of a sparingly soluble compound.
**a) For AgNO2 (Silver Nitrite):**
When AgNO2 dissolves in water, it dissociates into Ag+ and NO2- ions:
\[ \text{AgNO}_2 (s) \rightleftharpoons \text{Ag}^+ (aq) + \text{NO}_2^- (aq) \]
The Ksp expression for this dissolution is:
\[ K_{sp} = [\text{Ag}^+][\text{NO}_2^-] \]
**b) For Ag2SO4 (Silver Sulfate):**
When Ag2SO4 dissolves in water, it dissociates into 2 Ag+ and SO4^2- ions:
\[ \text{Ag}_2\text{SO}_4 (s) \rightleftharpoons 2\text{Ag}^+ (aq) + \text{SO}_4^{2-} (aq) \]
The Ksp expression for this dissolution is:
\[ K_{sp} = [\text{Ag}^+]^2 [\text{SO}_4^{2-}] \]
### Explanation:
1. **AgNO2:** The dissolution of Silver Nitrite releases one silver ion and one nitrite ion in solution, therefore the product of the concentrations of these ions in the saturation solution gives the Ksp value.
2. **Ag2SO4:** The dissolution of Silver Sulfate releases two silver ions and one sulfate ion in solution. Consequently, the Ksp expression involves the square of the concentration of the silver ions multiplied by the concentration of the sulfate ions.
**Purpose:**
Understanding how to write the Ksp expression is crucial for predicting the solubility of compounds and for solving various equilibrium problems in chemistry.
This basic setup of equilibrium expressions can be applied to various other ionic compounds in solubility studies, helping students grasp the practical applications of equilibrium constants in chemistry.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2704aedc-cd59-4651-b157-0d8c71ae74f0%2F1e903a0f-a98b-44b4-8004-f961ae1bca8a%2Fx6hl9z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Formation of Ksp (Solubility Product Constant)
**Problem Statement:**
Write the Ksp expression of:
a) AgNO2 (s)
b) Ag2SO4 (s)
**Solution:**
The Ksp expression for a compound is written based on its solubility equilibrium. The solubility product constant (Ksp) is an equilibrium constant that applies to the dissolution of a sparingly soluble compound.
**a) For AgNO2 (Silver Nitrite):**
When AgNO2 dissolves in water, it dissociates into Ag+ and NO2- ions:
\[ \text{AgNO}_2 (s) \rightleftharpoons \text{Ag}^+ (aq) + \text{NO}_2^- (aq) \]
The Ksp expression for this dissolution is:
\[ K_{sp} = [\text{Ag}^+][\text{NO}_2^-] \]
**b) For Ag2SO4 (Silver Sulfate):**
When Ag2SO4 dissolves in water, it dissociates into 2 Ag+ and SO4^2- ions:
\[ \text{Ag}_2\text{SO}_4 (s) \rightleftharpoons 2\text{Ag}^+ (aq) + \text{SO}_4^{2-} (aq) \]
The Ksp expression for this dissolution is:
\[ K_{sp} = [\text{Ag}^+]^2 [\text{SO}_4^{2-}] \]
### Explanation:
1. **AgNO2:** The dissolution of Silver Nitrite releases one silver ion and one nitrite ion in solution, therefore the product of the concentrations of these ions in the saturation solution gives the Ksp value.
2. **Ag2SO4:** The dissolution of Silver Sulfate releases two silver ions and one sulfate ion in solution. Consequently, the Ksp expression involves the square of the concentration of the silver ions multiplied by the concentration of the sulfate ions.
**Purpose:**
Understanding how to write the Ksp expression is crucial for predicting the solubility of compounds and for solving various equilibrium problems in chemistry.
This basic setup of equilibrium expressions can be applied to various other ionic compounds in solubility studies, helping students grasp the practical applications of equilibrium constants in chemistry.
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