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for Zr(3)(PO(4))(4) the solubility produ...

for `Zr_(3)(PO_(4))_(4)` the solubility product is `K_(sp)` and solubility is S. find the correct relation

A

`S=(K_(sp)/(6912))^(1/7)`

B

`S=(K_(sp)/(929))^(1/9)`

C

`S=(K_(sp)/(216))^(1/7)`

D

`S=(K_(sp)/(144))^(1/6)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Zr_3underset(a-s)((PO_4)_4)rArrunderset(3s)3Zr^(4+)+underset(4s)4PO_4^(3-)`
`K_(s p)=[Zr^(4+)]^(3)[PO_(4)^3]^4`
`=[3s]^3[4s]^(4)=27s^3xx256s^4=6912s^7`
`S=((K_(sp))/6912)^(1//7)`
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