Chapter 18, Problem 83IAE

Interpretation Introduction

Interpretation:

The concentration of Pb²⁺ in the saturated solution needs to be determined using the given information.

Concept introduction:

The solubility of a common cation in a mixture of two slightly soluble substances should be calculated with the concept that both equilibriums having the common ion cation value.

$\begin{array}{l}{\text{PbS}}_{\text{2}}{\text{O}}_3(\text{s)}\rightleftharpoons {\text{Pb}}^{\text{2+}}(\text{aq)}+{\text{S}}_{\text{2}}{\text{O}}_3^{2-}(\text{aq)}{\text{K}}_{\text{sp2}}=4.0\times {10}^{-7}\\ -x\text{}x+yx\\ {\text{PbSO}}_{\text{4}}(\text{s)}\rightleftharpoons {\text{Pb}}^{\text{2+}}(\text{aq)}+{\text{SO}}_4^{2-}(\text{aq)}{\text{K}}_{\text{sp1}}=1.6\times {10}^{-8}\\ -yx+yy\end{array}$