If the salt `M_(2)X, QY_(2)` and `PZ_(3)` have the same solubilites, their `K_(sp)` values are related as (s <1)

Options

A. `K_(sp) (M_(2)X) = K_(sp) (Q Y_(2)) lt K_(sp) (PZ_(3))`
B. `K_(sp) (M_(2)X) gt K_(sp) (Q Y_(2)) = K_(sp) (PZ_(3))`
C. `K_(sp) (M_(2)X) lt K_(sp) (Q Y_(2)) = K_(sp) (PZ_(3))`
D. `K_(sp) (M_(2)X) gt K_(sp) (Q Y_(2)) gt K_(sp) (PZ_(3))`

Answer

A

Explanation

`M_(2)X and QY_(2)` are salts of the type `A_(2)B` for which `K_(sp) = 4 S^(3)`. If S is same, `K_(sp)` will be equal.
For `PZ_(3) , K_(sp) = S(3S)^(3)=27S^(4), ` i.e., much higher.
Hence, (a) is the correct option.