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Q.

At 298 K, the Ksp of M2SO4 is 3.2 × 10–5. The maximum concentration of SO42- ion that could be attained in a saturated solution of this solid at 298K is

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a

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

b

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

c

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

d

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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