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At 298 K, the K_sp of M₂SO₄ is 3.2 × 10^–5. The maximum concentration of SO₄^2- ion that could be attained in a saturated solution of this solid at 298K is

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$\large 3 \times {10^{ - 3}}M$

$2 \times {10^{ - 2}}M$

$2.89 \times {10^{ - 9}}M$

$7 \times {10^{ - 2}}M$

answer is D.

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Detailed Solution

In a saturated solution, following equilibrium exists

$\large {M_2}S{O_4}\left( s \right) \rightleftharpoons \mathop {{M_2}S{O_4}}\limits_S \left( {aq} \right)\xrightarrow{{}}\mathop {2{M^ + }\left( {aq} \right)}\limits_{2S} + \mathop {SO_4^{ - 2}}\limits_S \left( {aq} \right)$

$\large {K_{sp}} = {\left( {2S} \right)^2} \times S = 4{S^3}$

⇒ 3.2 x 10^-5 = 4 x S³

⇒ 8 x 10^-6 = S³

⇒ S = 2 x 10^-2

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