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

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

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

${s^3} = 8 \times {10^{ - 9}}$

$s = 2 \times {10^{ - 3}}\,M$

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

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

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