Chemistry I / Solubility Equilibria
Practice question · Numerical answer

A salt of formula AB2\mathrm{AB_2} has a molar solubility of 1.0×1021.0 \times 10^{-2} M. Compute its solubility product, in units of 10610^{-6}.

Hints
  1. Each formula unit gives one A ion and two B ions, so the B concentration is 2s.
  2. Compute s x (2s)^2 = 4s^3 with s = 1.0e-2.
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4 (answers within ±0.2 count)

Why

Ksp=[A][B]2=s(2s)2=4s3=4×(102)3=4×106K_{sp} = [A][B]^2 = s(2s)^2 = 4s^3 = 4 \times (10^{-2})^3 = 4 \times 10^{-6}. Forgetting either the doubling or the squaring is the classic error, and each one changes the answer by a factor of four.

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