Hydrolysis of an ester gives a carboxylic acid which on Kolbe's electrolysis yields ethane. The ester is `:`

Options

A. Ethyl methanoate
B. methyl ethanoate
C. Propylamine
D. Ethylamine

Answer

To solve the problem, we need to identify the ester that, upon hydrolysis, yields a carboxylic acid which can then be subjected to Kolbe's electrolysis to produce ethane. Let's break this down step by step.

### Step 1: Understand Hydrolysis of an Ester
When an ester undergoes hydrolysis, it reacts with water to form a carboxylic acid and an alcohol. The general reaction can be represented as:
\[ RCOOR' + H_2O \rightarrow RCOOH + R'OH \]
Here, \( RCOOR' \) is the ester, \( RCOOH \) is the carboxylic acid, and \( R'OH \) is the alcohol.

### Step 2: Identify the Carboxylic Acid
The problem states that the hydrolysis of the ester yields a carboxylic acid that can undergo Kolbe's electrolysis to yield ethane (C2H6). The Kolbe electrolysis of a carboxylic acid typically involves the formation of radicals that couple to form alkanes.

### Step 3: Kolbe Electrolysis of Carboxylic Acid
In Kolbe's electrolysis, the carboxylic acid (let's denote it as \( RCOOH \)) is converted to ethane. The reaction can be summarized as:
\[ 2RCOO^- \rightarrow R-R + 2CO_2 + 2e^- \]
For the electrolysis to yield ethane (C2H6), the carboxylic acid must be acetic acid (CH3COOH), as it contains two carbon atoms.

### Step 4: Determine the Ester
Since we established that the carboxylic acid produced from the hydrolysis must be acetic acid (CH3COOH), we need to find an ester that, when hydrolyzed, gives acetic acid.

The ester that fits this description is methyl acetate (methyl ethanoate), which has the structure:
\[ CH_3COOCH_3 \]
When methyl acetate is hydrolyzed, it produces:
\[ CH_3COOH + CH_3OH \]
This confirms that the ester is methyl acetate.

### Conclusion
The ester that undergoes hydrolysis to yield a carboxylic acid, which on Kolbe's electrolysis yields ethane, is **methyl ethanoate** (or methyl acetate).

### Final Answer
**The ester is methyl ethanoate (methyl acetate).**

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