Solubility product constants (K_(sp)) of salts of types MX, MX_(2) at M_(3)X at temperature T are 4.0xx10^(-8),3.2xx10^(-14) and 2.7xx10^(-15) respectively. Solubility (mol dm^(-3)) of the salts at temperature T are in the order

Solubility product constants (K_(sp)) of salts of types MX, MX_(2) at

1.	Solubility product constants (K_(sp)) of salts of types MX, MX_(2) at M_(3)X at temperature T are 4.0xx10^(-8),3.2xx10^(-14) and 2.7xx10^(-15) respectively. Solubility (mol dm^(-3)) of the salts at temperature T are in the order
Answer» `MX gt MX_(2) gt M_(3)X` `M_(3)X gt MX_(2) gt MX` `MX_(2) gt M_(3)X gt MX` `MX gt M_(3)X gt MX_(2)` Solution :`MX hArrunderset(s) M^(+)+UNDERSET(x)X^(-), K_(sp)=s^(2)` or `s=sqrt(K_(sp))=sqrt(4xx10^(-8))=2XX10^(-4)M` `MX_(2)hArr underset(s)overset(2+)M + 2 underset(2s)X^(-), K_(sp)=s(2s)^(2)=4s^(3)` `:. S=((K_(sp))/(4))^(1//3)=((3.2xx10^(-14))/(4))^(1//3)` `=2xx10^(-5)M` `M_(3)X hArr 3 underset(3s)M^(+)+ underset(s)X^(3-)`, `K_(sp)=(3s)^(3)(s)=27S^(4)` `:. s=((K_(sp))/(27))^(1//4)=((2.7xx10^(-15))/(27))^(1//4)=10^(-4) M` Thus, the solubilities are in the order `2xx10^(-4) gt 10^(-4) gt 2 xx 10^(-5)`, i.e., `MX gt M_(3)X gt MX_(2)`.