Fluoride ion is added slowly to a well-stirred mixture that is 0.010 M in both and

CHEMISTRY · Single correct · AP · Chemistry · Equilibrium · Equilibrium

Problem

Fluoride ion is added slowly to a well-stirred mixture that is 0.010 M in both Ca2+Ca^{2+} and Mg2+Mg^{2+}. The solubility products are Ksp(CaF2)=3.9×10−11K_{sp}(CaF_2)=3.9\times10^{-11} and Ksp(MgF2)=6.4×10−9K_{sp}(MgF_2)=6.4\times10^{-9}. Which of the following best explains which fluoride precipitates first? (a) Both fluorides precipitate simultaneously because the solutions contain equal concentrations of Ca2+Ca^{2+} and Mg2+Mg^{2+}. (b) MgF2MgF_2 precipitates first because its larger KspK_{sp} means the saturation limit is reached at a lower [F−][F^-] than for CaF2CaF_2. (c) CaF2CaF_2 precipitates first because its smaller KspK_{sp} means the ion product reaches saturation at a lower [F−][F^-] than for MgF2MgF_2. (d) Neither fluoride precipitates until [F−][F^-] exceeds 6.4×10−9 M6.4\times10^{-9}\,\text{M}, the larger of the two KspK_{sp} values.

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