Let the solubilities of `AgCI` in `H_(2)O`, and in `0.01M CaCI_(2), 0.01M NaCI`, and `0.05M AgNO_(3)` be `S_(1),S_(2),S_(3),S_(4)`, respectively. What is the correct relationship between these quantites.

Options

A. `s_(1)gts_(2)gts_(3)gts_(4)`
B. `s_(1)gts_(2) = s_(3)gts_(4)`
C. `s_(1)gts_(3)gts_(2)gts_(4)`
D. `s_(4)gts_(2)gts_(3)gts_(1)`

Answer

C

Explanation

Let `K_(sp)` of `AgCl=x`
(`a`) solubility of `AgCl` in pure water `= s_(1)=sqrt(x)`
(`b`) solubility of `AgCl` in `0.01 M CaCl_(2)=s_(2)=(x)/(0.02)`
(`c`) solubility of `AgCl` in `0.01 M NaCl= s_(3)=(x)/(0.01)`
(`d`) solubility of `AgCl` in `0.05 M AgNO_(3)=S_(4)=(x)/(0.05)`
So `s_(1)gts_(3)gts_(2)gts_(4)`