State whether the following sentences are true $(T)$ or false $(F)$.
$(a)$ The reaction of an ester with water produces an alcohol and an acid.
$(b)$ The concentration of water remains constant during the hydrolysis of an ester.
$(c)$ In the hydrolysis of an ester,$[H_2O]$ remains constant.

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(T, T, T) True $(T)$: The hydrolysis of an ester follows the reaction: $RCOOR' + H_2O \rightarrow RCOOH + R'OH$. This produces a carboxylic acid and an alcohol.
$(b)$ True $(T)$: In the hydrolysis of an ester,water is taken in large excess. Therefore,its concentration remains effectively constant throughout the reaction.
$(c)$ True $(T)$: Since water is in large excess,its concentration $[H_2O]$ does not change significantly during the reaction,which is why the reaction follows pseudo-first-order kinetics.

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