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If Ksp(PbSO4) = 1.8 × 10^-8 and Ka(HSO4^-) = 1.0 × 10^-2 the equilibrium constant for the reaction.

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If Ksp(PbSO4) = 1.8 × 10-8 and Ka(HSO4-) = 1.0 × 10-2 the equilibrium constant for the reaction.

PbSO4(s) + H+(aq) ⇌ HSO4-(aq) + Pb2+(aq) is 

(a) 1.8 × 10-6

(b) 1.8 × 10-10

(c) 2.8 × 10-10

(d) 1.0 × 10-2

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Correct answer: (a) 1.8 × 10-6

Explanation:

PbSO4(s) ⇌ Pb2+(aq) + SO42-(aq)(Ksp)  .....(i)

HSO4-(aq) ⇌ H+(aq) + SO42-(aq)(Ka)  .....(ii)

Subtracting equation (ii) from (i), then

PbSO4(s) + H+(aq) ⇌ Pb2+(aq) + HSO4-(aq)(Keq)

∴ Keq = \(\frac{K_{sp}}{K_a}\)

= \(\frac{1.8 \times 10^{-8}}{1.0 \times 10^{-2}}\) = 1.8 × 10-6

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