Calcium lactate is salt of weak acid and represented as `Ca(LaC)_(2)`. A saturated solution of `Ca(LaC)_(2)` contains `0.13mol` of salt in `0.50L` solution. The `pOH` of this is `5.60`. Assuming complete dissociation of salt, calculate `K_(a)` of lacetic acid.

Explanation

To solve the problem step by step, we will follow the outlined procedure to find the \( K_a \) of lactic acid from the given information about calcium lactate.

### Step 1: Understand the Dissociation of Calcium Lactate
Calcium lactate, represented as \( Ca(LaC)_2 \), dissociates in water as follows:
\[ Ca(LaC)_2 \rightarrow Ca^{2+} + 2LaC^- \]
The lactate ion \( LaC^- \) can further undergo hydrolysis:
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