If the salts `M_(2)X,QY_(2)`, and `PZ_(3)` have the same solubilities `(lt(4)/(27))`, their `K_(sp)` values are related

Options

A. `k_(sp)(M_(2)x)=k_(sp)(Qy_(2)) lt k_(sp)(Pz_(3))`
B. `k_(sp)(M_(2)x) gt k_(sp)(Qy_(2))=k_(sp)(Pz_(3))`
C. `k_(sp)(M_(2)x) lt k_(sp)(Qy_(2)) lt k_(sp)(Pz_(3))`
D. `k_(sp)(M_(2)x)gt k_(sp)(Qy_(2)) gt k_(sp)(Pz_(3))`

Answer

A

Explanation

`M_(s)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 `P_(Fz_(3)),K_(sp)=s(3s)^(3)=27s^(4)`i.e., much higher . Hence , A is the corrct option.