MCQ
The solubility of $AgCl$ in $0.2\,\,M\,\,NaCl$ solution $({K_{sp}}$ for $AgCl = 1.20 \times {10^{ - 10}})$ is
  • A
    $0.2\,\,M$
  • B
    $1.2 \times {10^{ - 10}}\,M$
  • C
    $0.2 \times {10^{ - 10}}\,M$
  • $6\times {10^{ - 10}}\,M$

Answer

Correct option: D.
$6\times {10^{ - 10}}\,M$
(d) $\mathop {AgCl}\limits_a  \rightleftharpoons \mathop {A{g^ + }}\limits_a + \mathop {C{l^ - }}\limits_a $

$\mathop {NaCl}\limits_{0.02} $ $ \rightleftharpoons $ $\mathop {N{a^ + }}\limits_{0.02\,\,\,\,\,} \,\, + \mathop {C{l^ - }}\limits_{0.02\,\,\,\,\,\,} $

${K_{sp}}\,\,AgCl = 1.20 \times {10^{ - 10}}$

${K_{sp}}\,\,AgCl = [A{g^ + }]\,\,[C{l^ - }]$$ = a \times [a + 0.2]$ $ = {a^2} + 0.2a$

${a^2}$ is a very small so it is a neglected.

${K_{sp}}\,\,AgCl = 0.2a$

$1.20 \times {10^{ - 10}} = 0.2a$

$a = \frac{{1.20 \times {{10}^{ - 10}}}}{{0.20}} = 6 \times {10^{ - 10}}$ $mole$

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