InterviewSolution
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InterviewSolution
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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. `MXgt MX_(2)gt M_(3)X`B. `M_(3)gtMX_(2)gtMX`C. `MX_(2)gtM_(3)XgtMX`D. `MXgtM_(3)XgtMX_(2)` |
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Answer» Correct Answer - D `MX rarr underset(s)(M^(+))+underset(s)(X),` `K_(sp)=s^(2)` or `s=sqrt(K_(sp))=sqrt(4xx10^(-8))=2xx10^(-4)M` `MX_(x)hArr underset((s))(M^(2+))+underset((2s))(2X^(-)),` `K_(sp)=s(2s)^(2)=4s^(3)` `:. s=(K_(sp)//4)^(1//3)=((3/2xx10^(-14))/(4))^(1//3)=2 xx 10^(-5)M` `M_(3)X hArr underset(3s)(3M^(+))+underset(s)(X^(3-)),` `K_(sp)=(3s)^(3)s=27s^(4)` `:. s=((K_(sp))/(27))^(1//4)` `=(2.7 xx 10^(-15))/(27)=10^(-4)M` `:. MX gt M_(3)X gt Mx_(2)` `2 xx 10^(-4) gt 10^(-4) gt 2 xx 10^(-5)` |
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