Introduction to Solubility Equilibria

AP Chemistry· difficulty 4/5

For PbCl2_2, Ksp=1.6×105K_{sp} = 1.6 \times 10^{-5}. The molar solubility of PbCl2_2 in pure water is approximately

  • A

    1.6×1051.6 \times 10^{-5} M

  • B

    Ksp/431.6×102\sqrt[3]{K_{sp}/4} \approx 1.6 \times 10^{-2} M

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  • C

    Ksp/2K_{sp}/2

  • D

    Ksp4.0×103\sqrt{K_{sp}} \approx 4.0 \times 10^{-3} M

Explanation

PbCl2_2 ⇌ Pb2+^{2+} + 2 Cl^-. Let s = molar solubility. Ksp=s(2s)2=4s3K_{sp} = s(2s)^2 = 4s^3. s=1.6×105/43=4×1063=1.59×102s = \sqrt[3]{1.6\times10^{-5}/4} = \sqrt[3]{4\times10^{-6}} = 1.59\times10^{-2} M.

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