If the solubility product of `AgBrO_(3)`, and `AgSO_(4)` are `5.5 xx 10^(-5)` and `2 xx 10^(-5)` respectively, the relationship between the solubility of these salts can be correctly represented as

Options

A. `S_(AgBrO_(3)) gtS_(Ag_(2)SO_(4))`
B. `S_(AgBrO_(3)) lt S_(Ag_(2)SO_(4))`
C. `S_(AgBrO_(3)) = S_(Ag_(2)SO_(4))`
D. `S_(AgBrO_(3)) approx S_(Ag_(2)SO_(4))`

Answer

B

Explanation

`underset (S) ("Ag"_(2)SO_(4)) hArr underset (2S) "2Ag"^(+) + underset(S) (SO^(--))`
`K_(sp) = 4S^(3), K_(sp) = 2 xx 10^(-5)`
`S = root3 ((2xx10^(-5))/4) = 0.017 m//L= 1.7 xx10^(-2)`
`"AgBrO"_(3) hArr underset (S)(Ag^(+)) +underset (S)(BrO_(3)^(-))`
`K_(sp) = S^(2) , K_(sp) = 5.5 xx 10^(-5)`
`S = sqrt(5.5 xx 10^(-5)) = 7.4 xx 10^(-3) m//L `