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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 small amount of `CaCO_(3)` and `NaF` are formed. If `K_(sp)` of `CaCO_(3)` is `x` and molar solubility of `CaF_(2)` is `y`, find the molar after cocentration of `F^(Theta)` in the resulting solution after equilibrium is attained.

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To solve the problem, we will follow these steps systematically. ### Step 1: Write the Reaction The reaction occurring in the solution can be represented as: \[ \text{Na}_2\text{CO}_3 + \text{CaF}_2 \rightleftharpoons \text{CaCO}_3 (s) + 2 \text{NaF} \] ### Step 2: Initial Concentrations Initially, we have: ...
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