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The solubility product constant `(K_(sp))` of salts of types `MX, MX_(2)`, and `M_(3)X` at temperature `T` are `4.0 xx 10^(-8), 3.2 xx 10^(-14)`, and `2.7 xx 10^(-15)`, respectively. The solubilities of the salts at temperature `T` are in the orderA. `MX gt MX_(2) gt M_(3)X`B. `M_(3)X gt MX_(2) gt MX`C. `MX_(2) gt M_(2)X gt MX`D. `MX gt M_(3)X gt MX_(2)` |
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Answer» Correct Answer - D `MX hArr underset((S_(1)))(M^(+)) +underset((S_(2)))(X^(-))` `S_(1) =(K_(sp))^(1//2) =(4 xx 10^(-8))^(1//2)` `=2xx 10^(-4).` `MX_(2) hArr underset((S_(2)))(M^(+)) +underset((2S_(2)))(2X^(-))` `5S_(2)^(3) =K_(sp) " or " S_(2) =((K_(sp))/(4))^(1/3)` `S_(2) =((3.2 xx 10^(-14))/(4))^(1/3) =2xx 10^(-5)` `M_(3)X hArr underset((3 S_(3)))(3M^(+)) + underset((S_(3)))(X^(3-))` `27S_(3)^(4) =K_(sp) " or " S_(3) =((K_(sp))/(27))^(1/4)` `S_(2) =((2.7 xx 10^(-5))/(27)) =10^(-4)` The correct order is : `MX gt M_(3)X gt MX_(2)` |
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