6-2.Equilibrium-II (Ionic Equilibrium)
hard

The minimum volume of water required to dissolve $0.1\,g$ lead $(II)$ chloride to get a saturated solution ($K_{SP}$ of $PbCl_2 = 3.2 \times 10^{-8}$; atomic mass of $Pb= 207\, u$) is......$L$

A

$1.798$

B

$0.36$

C

$17.95$

D

$0.18$

(JEE MAIN-2018)

Solution

${({K_{sp}})_{PbC{l_2}}} = 3.2 \times {10^{ – 8}} = 32 \times {10^{ – 9}}$

$PbC{l_2} \leftrightarrow \mathop {P{b^{2 + }}}\limits_s  + \mathop {2C{l^ – }}\limits_{2s} $

${K_{sp}} = [p{b^{2 + }}]{[C{l^ – }]^2}$

${K_{sp}} = 4{s^3} = 32 \times {10^{ – 9}}$

${s^3} = 8 \times {10^{ – 9}}$

$s = 2 \times {10^{ – 3}}\,M$

$\frac{w}{{M.W.}} \times \frac{1}{{{V_L}}} = 2 \times {10^{ – 3}}$

$\frac{{0.1}}{{278}} \times \frac{1}{{{V_L}}} = 2 \times {10^{ – 3}}$

${V_L} = \frac{{0.1 \times 1000}}{{278 \times 2}} = 0.18\,L$

Standard 11
Chemistry

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