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Solubility of a M2S salt is 3.5 × 10⁻⁶, then its solubility product will be

1. 1.7 × 10⁻¹⁶
2. 1.7 × 10⁻⁶
3. 1.7 × 10⁻¹⁸
4. 1.7 × 10⁻¹²

Correct answer: 1.7 × 10⁻¹⁶

Solution

For a salt M2S, the dissociation is M2S ⇌ 2M⁺ + S²⁻. If solubility is 's', then Ksp = [M⁺]²[S²⁻] = (2s)²(s) = 4s³. Substituting s = 3.5 × 10⁻⁶, Ksp = 4(3.5 × 10⁻⁶)³ = 1.7 × 10⁻¹⁶.

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