State whether the following statements are true $(T)$ or false $(F)$.
$(a)$ In a pseudo first order reaction,the rate and rate constant are determined with respect to the reactant present in lower concentration.
$(b)$ The hydrolysis of an ester is carried out in the presence of an excess of water in an acidic medium.
$(c)$ The hydrolysis of an ester is a second order reaction.

(F, F, F) False. In a pseudo first order reaction,the reactant present in large excess does not affect the rate of reaction,so the rate depends only on the concentration of the reactant present in lower concentration.
$(b)$ False. The hydrolysis of an ester is carried out in the presence of an excess of water (solvent),not an excess of ester.
$(c)$ False. Although the rate law for the hydrolysis of an ester is $Rate = k[Ester][H_2O]$,because water is in large excess,its concentration remains effectively constant. Thus,the reaction follows pseudo first order kinetics,not second order.