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  4. If S1, S2, S3 and S4 are the solubilities of AgCl in water, in 0.01 M CaCl2, in 0.01 M NaCl and in 0.05 M AgNO3 respectively at a certain temperature, the correct order of solubilities is

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Q. If $S_1, S_2, S_3$ and $S_4$ are the solubilities of $AgCl$ in water, in $0.01\, M\, CaCl_2$, in $0.01\, M\, NaCl$ and in $0.05\, M\, AgNO_3$ respectively at a certain temperature, the correct order of solubilities is

Equilibrium

Solution:

$0.01\, M\, CaCl_2 ≡ 0.02 \,M \,Cl^-$
$0.01\, M \,NaCl ≡ 0.01\, M\, Cl^-,$
$0.05 \,M \,AgNO_3 ≡ 0.05\,M \,Ag^+$
$[Ag^+][Cl^-] = K_{sp}$ (const.).
The concentration of common ion $\propto \frac{1}{solubility}$