An organic compound `(A) (C_5 H_8 O_3)` on heating with soda lime gives `(B)` which reacts with `HCN` to give `( C)`. The compound `( C)` reacts with thionyl chloride to produce `(D)` which on reaction with `KCN` gives a compound `( E)`. Alkaline hydrolysis of `( E)` gives a salt `(F)` which on heating with soda lime produces `n-butane`. Careful oxidation of `(A)` with dichromate give acetic acid and malonic acid. Give the structures to `(A)` to `(F)` with proper reasoning.

Explanation

To solve the problem step by step, we will identify the compounds (A) to (F) based on the reactions described and the molecular formula provided.

### Step 1: Identify Compound (A)
Given the molecular formula of compound (A) is \(C_5H_8O_3\). We first calculate the degree of unsaturation (DU):

\[ DU = \frac{2C + 2 - H}{2} = \frac{2(5) + 2 - 8}{2} = \frac{10 + 2 - 8}{2} = \frac{4}{2} = 2 \]
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