MCQ
What is the molar solubility of :- $Ag_2CO_3 (K_{sp} = 4 \times 10^{-13})$ in $0.1\, M\,Na_2CO_3$ solution?
  • $10^{-6}$
  • B
    $10^{-7}$
  • C
    $2 \times 10^{-6}$
  • D
    $2 \times 10^{-7}$

Answer

Correct option: A.
$10^{-6}$
a
$A{g_2}C{O_3}(s) \rightleftharpoons \mathop {2A{g^ + }}\limits_{(2s)}  + \mathop {CO_3^{ - 2}}\limits_{(s)} $

$\mathrm{Na}_{2} \mathrm{CO}_{3} \rightarrow\left[\mathrm{CO}_{3}^{-2}\right]=0.1$

$\mathrm{K}_{\mathrm{sp}}=\left[\mathrm{Ag}^{+}\right]^{2} \times\left[\mathrm{CO}_{3}^{-2}\right]$

$4 \times 10^{-13}=(2 s)^{2} \times(s+0.1)$

                                                $ \downarrow $

                                              Neglected

$s=10^{-6}$

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