1.

Solubilirty product constants (K_(sp)) of salts of types MX, MX_(2), and M_(3)X at temperature T are 4.0xx10^(-8), 3.2xx10^(-14), and salts of temperature T is in the order

Answer»

`MX_(2)gtM_(3)XgtMX`
`M_(3)XgtMX_(2)gtMX`
`MXgtM_(3)XgtMX_(2)`
`MXgtMX_(2)gtM_(3)X`

Solution :Let US assume that S is the SOLUBILITY.
`MX(s)hArr M^(+)underset(S)((aq.))+X^(-)underset(S)((aq.))`
`K_(sp)=C_(M^(+))C_(X^(-))=(S)(S)`
or `S=sqrt(K_(sp))=sqrt(4.0xx10^(-8))`
`=2xx10^(-4)M`
`MX_(2)(s)hArrM^(2+)underset(S)((aq.))+2X^(-)underset(2S)((aq.))`
`K_(sp)=C_(M^(2+))C_(X^(-))^(2)=(S)(2S)^(2)=4S^(3)`
or `S=((K_(sp))/(4))^(1//3)= ((3.2xx10^(-4))/(4))^(1//3)`
`=2xx10^(-5)M`
`M_(3)X(s)hArr underset(3S)(3M^(+)(aq.))+X^(3-)underset(S)((aq.))`
`K_(sp)=C_(M^(+))^(3)C_(X^(3-))`
`=(3S)^(3)(S)=27S^(4)`
or`S=((K_(sp))/(27))^(1//4) = ((2.7xx10^(-15))/(27))^(1//4)`
`=10^(-4)M`
Thus, solubility order is
`MXgt M_(3)XgtMX_(2)`


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