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For the dissolution equilibrium $$AB(s)\rightleftharpoons A^+ + B^-$$ with an initial common‐ion concentration $$[B^-]_0$$, we assume $$[B^-]_0 \gg s$$.
Then $$K_{sp} = [A^+][B^-] \approx s\,[B^-]_0$$
so that $$s \approx \frac{K_{sp}}{[B^-]_0}\,. $$
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For the dissolution equilibrium $$AB(s)\rightleftharpoons A^+ + B^-$$ with an initial common‐ion concentration $$[B^-]_0$$, we assume $$[B^-]_0 \gg s$$.
Then $$K_{sp} = [A^+][B^-] \approx s\,[B^-]_0$$
so that $$s \approx \frac{K_{sp}}{[B^-]_0}\,. $$
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