JEE MAIN - Chemistry (2019 - 8th April Morning Slot - No. 19)

If solublity product of Zr3(PO4)4 is denoted by Ksp and its molar solubility is denoted by S, then which of the following relation between S and Ksp is correct ?
$$S = {\left( {{{{K_{sp}}} \over {929}}} \right)^{1/9}}$$
$$S = {\left( {{{{K_{sp}}} \over {6912}}} \right)^{1/7}}$$
$$S = {\left( {{{{K_{sp}}} \over {144}}} \right)^{1/6}}$$
$$S = {\left( {{{{K_{sp}}} \over {216}}} \right)^{1/7}}$$

Explanation

Zr3(PO4)4 ā‡Œ 3Zr+4 + 4PO4-3
S 3S 4S


Ksp = [Zr+4]3 [PO4-3]4

= [3S]3 [4S]4

= 27S3 $$ \times $$ 256S4

= 6912S7

$$ \therefore $$ $$S = {\left( {{{{K_{sp}}} \over {6912}}} \right)^{1/7}}$$

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