Solubility product constant `(K_(sp))` of salts of types `MX, MX_2 and M_3X` at temperature 'T' are `4.0 xx 10^(-8), 3.2 xx 10^(-14) and 2.7 xx 10^(-15)`, respectively. Solubilities `("mol. Dm"^(-3)` of the salts at temperature 'T' are in the order

Options

A. `MX_(1) gt MX_(2) gt M_(3)X`
B. `M_(3)X gt MX_(2) gt MX_(1)`
C. `MX_(2) gt M_(3)X gt MX_(1)`
D. `MX_(1) gt M_(3)X gt MX_(2)`

Answer

D

Explanation

`{:(MX1,MX2,M3X,),(S_(1)^(2) = 4 xx 10^(-8),4S_(2)^(3) = 3.2 xx 10^(-14),27 S_(3)^(4) = 2.7 xx 10^(-15),),(S_(1) = 2 xx 10^(-4),S_(2)^(3) = 8 xx 10^(-15),S_(3)^(4) = 10^(-16),),(,S_(2) = 2 xx 10^(-5),S_(3) = 10^(-4),),( rArr S_(1) gt S_(3) gt S_(2),rArr MX_(1) gt M_(3)X gt MX_(2),,):}`