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

Solubility of AgCI in water `= sqrt(K_(SP))=S_(1)`
In `0.01M CaCI_(2)` it is given by
`K_(SP)=Sxx(0.01xx2+S) :. S_(2)= (K_(SP))/(0.02)`
In `0.01M` NaCI it is given by
`K_(SP)=Sxx(0.01+S) :. S_(3)=(K_(SP))/(0.01)`
In `0.05M AgNO_(3)` it is given by
`K_(SP)=Sxx(0.05+S) :. S_(4)= (K_(SP))/(0.05)`
The solubilities are derived by neglecting S in comparison to `0.02, 0.01` and `0.05`.