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JEE Main 202229 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Morning Shift
Subject
Chemistry
Chapter
Ionic Equilibrium

JEE Main 2022 · 29 July · Morning Shift · Chemistry · Ionic Equilibrium

If the solubility product of PbS is 8 × 10 ^ - 28 , then the...

If the solubility product of PbSPbS is 8×10−288 \times {10}^{- 28}, then the solubility of PbSPbS in pure water at 298K298K is x×10−16molL−1x \times {10}^{- 16}mol{L}^{- 1}. The value of xx is____ (Nearest integer) [Given 2=1.41\sqrt{2} = 1 . 41]

Correct answer

0

Step-by-step solution

PbS(s)⇌Pb2+(aq)+S2−(aq)PbS\left(s\right)\overset{}{⇌}{Pb}^{2 +}\left(aq\right) + {S}^{2 -}\left(aq\right)

Let us consider the solubility of PbSPbS is "SS" MM.

Thus,

Solubility product =[Pb2+(aq)][S2−(aq)]= \left[{Pb}^{2 +}\left(aq\right)\right]\left[{S}^{2 -}\left(aq\right)\right]

Ksp = \left[{Pb}^{2 +}\left(aq\right)\right]\left[{S}^{2 -}\left(aq\right)\right] ⋯ \left(i\right)</p><p>Weknow</p><p></p><p>We know</p><p>{K}_{sp} = {S}^{2}</p><p></p><p>S = \sqrt{{K}_{sp}} = \sqrt{8 \times {10}^{- 28}} = 2\sqrt{2} \times {10}^{- 14}</p><p></p><p>= 2 . 82 \times {10}^{- 14}</p><p></p><p>= 282 \times {10}^{- 16}

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