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Question

Which one of the following is the correct chemical formula of carboxylic acid ?

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is
\(C_2H_5COOH\)

Carboxylic Acid Definition and Structure

Carboxylic acids are a class of organic compounds characterized by the presence of a carboxyl functional group. This group consists of a carbonyl group (C=O) and a hydroxyl group (-OH) attached to the same carbon atom. The general formula for a carboxylic acid can be represented as \(RCOOH\), where '\(R\)' represents an alkyl group or a hydrogen atom.

Formula Analysis: Identifying Carboxylic Acids

Let's examine each option to determine which one correctly represents a carboxylic acid:

  • Option 1:
    \(C_3H_7OH\)

    This formula represents an alcohol. The structure contains a hydroxyl (-OH) group attached to an alkyl chain (\(C_3H_7\)). It does not contain the characteristic carboxyl (-COOH) group. For example, \(C_3H_7OH\) could be propan-1-ol or propan-2-ol.

  • Option 2:
    \(C_3H_8\)

    This formula represents an alkane, specifically propane. Alkanes are hydrocarbons with only single bonds and do not possess functional groups like carboxyl or hydroxyl.

  • Option 3:
    \(C_2H_5COOH\)

    This formula contains the essential carboxyl functional group, -COOH. The '\(C_2H_5\)' part represents an ethyl group attached to the carboxyl group. This compound is propanoic acid, a common example of a carboxylic acid.

  • Option 4:
    \(CH_3COCH_3\)

    This formula represents a ketone. It contains a carbonyl group (C=O) bonded to two other carbon atoms within the chain. The specific compound shown is propanone (acetone). Ketones are distinct from carboxylic acids.

  • Option 5:

    This option is empty and therefore cannot be a correct chemical formula.

Conclusion on Correct Formula

Based on the analysis, the formula that correctly represents a carboxylic acid is the one containing the -COOH group.

Therefore, the correct chemical formula for a carboxylic acid among the options provided is \(C_2H_5COOH\).

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