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'(s'+10^(-2)~~10^(-3))):}`
`K_(sp)=(2s')^(2)(10^(-2))=(2xx2xx10^(-8))^(2)(10^(-2))=16xx10^(-18)`