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Question

Chemistry Question on Equilibrium

The solubility of a saturated solution of calcium fluoride is 2×1042 \times 10^{-4} moles per litre. Its solubility product is

A

12×10212 \times 10^{-2}

B

14×10414 \times 10^{-4}

C

22×101122 \times 10^{-11}

D

32×101232 \times 10^{-12}

Answer

32×101232 \times 10^{-12}

Explanation

Solution

2×104MCaF22×104MCa2++2××104M2F_{2 \times 10^{-4}M}^{\, \, \, CaF_2} \rightleftharpoons _{2 \times 10^{-4}M}^{\, \, \, Ca^{2+}} + _{2 \times \times 10^{-4}M}^{\, \, \, 2F^-} KspofCaF2=[Ca2+][F]2K_{sp} \, \, of \, \, CaF_2 = [Ca^{2+}] [F^-]^2 =[2×104][4×104]2=32×1012(mol/L)2= [2 \times 10^{-4} ] [4 \times 10^{-4} ]^2 = 32 \times 10^{-12} (mol/L)^2