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6-2.Equilibrium-II (Ionic Equilibrium)
medium
The values of ${K_{sp}}$for $CuS,\,\,A{g_2}S$ and $HgS$ are ${10^{ - 31}},\,{10^{42}}$ and ${10^{ - 54}}$ respectively. The correct order of their solubility in water is
A
$A{g_2}S > HgS > CuS$
B
$HgS > CuS > A{g_2}S$
C
$HgS > A{g_2}S > CuS$
D
$A{g_2}S > CuS > HgS$
Solution
(d) $A{g_2}S > CuS > HgS$.
Solubility of $CuS $ $ = \sqrt {{{10}^{ – 31}}} = 3.16 \times {10^{ – 16}}\,\,mol/lit.$
Solubility of $A{g_2}S$
$ = \sqrt[3]{{\frac{{{K_{sp}}}}{4}}} = \sqrt[3]{{\frac{{{{10}^{ – 42}}}}{4}}} = 6.3 \times {10^{ – 5}}\,mole/litre$
Solubility of $HgS$ $ = \sqrt {{K_{sp}}} = \sqrt {{{10}^{ – 54}}} $ $ = {10^{ – 27}}\,\,mol/litre.$
Standard 11
Chemistry
