Chapter 41: Problem 15

Write the solubility constant expression, \(K_{\mathrm{sp}}\), for a) \(\mathrm{AgCl}(\mathrm{s}) \rightleftarrows \mathrm{Ag}^{+}(\mathrm{aq})+\mathrm{Cl}^{-}(\mathrm{aq})\) b) \(\mathrm{Cu}_{3}\left(\mathrm{PO}_{4}\right)_{2}(\mathrm{~s}) \rightleftarrows 3 \mathrm{Cu}^{2+}(\mathrm{aq})+2 \mathrm{PO}_{4}{ }^{3-}(\mathrm{aq})\)

Short Answer

Expert verified

The solubility constant expressions for given equations are a) \(K_{\text{sp}} = [\text{Ag}^{+}][\text{Cl}^{-}]\), and b) \(K_{\text{sp}} = [\text{Cu}^{2+}]^3[\text{PO}_4^{3-}]^2\).

Step by step solution

Formulate Equation A

We have the chemical equation: \(\text{AgCl(s)} \leftrightarrow \text{Ag}^{+}(\text{aq})+\text{Cl}^{-}(\text{aq})\). The \(K_{\text{sp}}\) expression for this dissolution reaction is based on the concentrations of the ions produced when \(\text{AgCl}\) dissolves. Thus it will be \(K_{\text{sp}} = [\text{Ag}^{+}][\text{Cl}^{-}]\).

Formulate Equation B

We have the chemical equation: \(\text{Cu}_3(\text{PO}_4)_2(s) \leftrightarrow 3\text{Cu}^{2+}(aq)+2\text{PO}_4^{3-}(aq)\). Similar to step 1, the \(K_{\text{sp}}\) expression for this dissolution reaction is based on the concentrations of the ions produced when \(\text{Cu}_3(\text{PO}_4)_2\) dissolves. Consequently, it will be \(K_{\text{sp}} = [\text{Cu}^{2+}]^3[\text{PO}_4^{3-}]^2\).

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Formulate Equation A

Formulate Equation B

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