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A(3)B(2) is a sparingly soluble salt wit...

`A_(3)B_(2)` is a sparingly soluble salt with molar mass `M(gmol_(-))` and solubility `x` gm `litre_(-1)`, the ratio of the molar concentration of `B^(3-)` to the solubilty product of the salt is `:-`

A

`108(x^(5))/(M^(5))`

B

`(1)/(108)(x^(5))/(M^(5))`

C

`(1)/(54)(M^(4))/(x^(4))`

D

`54(M^(4))/(x^(4))`

Text Solution

Verified by Experts

The correct Answer is:
C
`S=(X)/(M)`
`{:(A_(3)B_(2)hArr," ",3A^(+2)," ",+2B^(-3)),(," ",3S," ",2S):}`
`[B^(-3)]=2S=2((X)/(M))`
`K_(sp)=[A^(+2)]^(3)[B^(-3)]^(2)`
`K_(sp)=108S^(5)=108((X)/(M))^(5)`
`K_(sp)=54((X)/(M))^(4)((2X)/(M))`
`K_(sp)=54((X)/(M))^(4)[B^-3]`
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