Which general formula represents the functional group in a carboxylic acid?
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Identify the functional group characteristic of a carboxylic acid. Carboxylic acids contain a carbon atom double-bonded to an oxygen atom and also bonded to a hydroxyl group (-OH).
Write the general formula for the carboxylic acid functional group, which includes a carbonyl group (C=O) and a hydroxyl group (OH) attached to the same carbon atom.
Express this structure as \(R-\mathrm{C}=\mathrm{O}-\mathrm{OH}\), where \(R\) represents the rest of the molecule or alkyl group.
Compare this formula to the options given: the first option is an ester (\(R-\mathrm{C}=\mathrm{O}-R'\)), the second is a nitrile (\(R-\mathrm{C}\equiv\mathrm{N}\)), and the third is an alcohol (\(R-\mathrm{OH}\)).
Conclude that the correct general formula for the carboxylic acid functional group is \(R-\mathrm{C}=\mathrm{O}-\mathrm{OH}\), which matches the last formula provided.