Chemical and Ionic Equilibrium 2 Question 19

19. For a sparingly soluble salt $A_{p} B_{q}$, the relationship of its solubility product $\left(L_{S}\right)$ with its solubility $(S)$ is

$(2001,1 \mathrm{M})$

(a) $L_{s}=S^{p+q} \cdot p^{p} \cdot q^{q}$

(b) $L_{s}=S^{p+q} \cdot p^{q} \cdot q^{p}$

(c) $L_{S}=S^{p q} \cdot p^{p} \cdot q^{q}$

(d) $L_{s}=S^{p q} \cdot(p \cdot q)^{(p+q)}$

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Solution:

  1. $A_{p} B_{q} \rightleftharpoons \underset{p S}{p A}+\underset{q S}{q B}$

$$ K_{\mathrm{sp}}=(p S)^{p}(q S)^{q}=S^{(p+q)} \cdot p^{p} \cdot q^{q} $$