Chapter 18.4, Problem 39LC

Interpretation Introduction

Interpretation: The expression for the solubility product of ${\text{Ag}}_{\text{2}}{\text{CO}}_{\text{3}}$ is to be given.

Concept Introduction: The expression representing the product of the concentrations of the ions each raised to the power (equal to their stoichiometric coefficient) in the dissociation equation is termed as solubility product constant $\left({\text{K}}_{\text{sp}}\right)$ .

Answer to Problem 39LC

The expression for the solubility product of ${\text{Ag}}_{\text{2}}{\text{CO}}_{\text{3}}$ is ${\text{K}}_{\text{sp}}={\left[{\text{Ag}}^{\text{+}}\right]}^2\left[{\text{CO}}_3^{2-}\right]$ .

Explanation of Solution

The dissociation equation for $\left({\text{K}}_{\text{sp}}\right)$ is represented as:

  ${\text{Ag}}_{\text{2}}{\text{CO}}_{\text{3}}\left(\text{s}\right)\rightleftharpoons {\text{2Ag}}^{\text{+}}\left(\text{aq}\right)+{\text{CO}}_3^{2-}\left(\text{aq}\right)$

Therefore, the solubility product expression for ${\text{Ag}}_{\text{2}}{\text{CO}}_{\text{3}}$ is given as:

  ${\text{K}}_{\text{sp}}={\left[{\text{Ag}}^{\text{+}}\right]}^2\left[{\text{CO}}_3^{2-}\right]$