If the solubility of `Ag_(2)SO_(4)` in `10^(-2)M Na_(2)SO_(4)` solution be `2xx10^(-8)M` then `K_(sp)` of `Ag_(2)SO_(4)` will be

Options

A. `32xx10^(-24)`
B. `16xx10^(-18)`
C. `32xx10^(-18)`
D. `16xx10^(-24)`

Answer

2

Explanation

`Ag_(2)SO_(4)hArr 2Ag^(+)+SO_(4)^(-2)`
`2s^(1)(s^(1)+10^(-2))`
`~~ 10^(-2)`
`K_(sp)=(2s^(1))^(2)(10^(-2))=(2xx2xx10^(-8))^(2) (10^(-2))=16xx10^(-18)`