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2M solution of Na(2)CO(3) is boiled in a...

2M solution of `Na_(2)CO_(3)` is boiled in a closed container with excess of `CaF_(2)`. Very little amount of `CaCO_(3)` and NaF are formed. If the solubility product of `CaCO_(3)` is x and molar solubility of `CaF_(2)` is y, find the molar concentration of `F^(-)` in the resulting solution after equilibrium is attained.

A

`sqrt((8y^(3))/(x))`

B

`sqrt((x)/(y^(3)))`

C

`sqrt((2y)/(x^(3)))`

D

`sqrt((4y^(3))/(x))`

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The correct Answer is:
A
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