To improve our mechanistic understanding of zinc metalloenzymes, we report a joint computational and experimental study of a minimal carbonic anhydrase (CA) mimic, a 22-residue Zn-finger hydrolase. We combine classical molecular dynamics (MD) simulations, quantum mechanics/molecular mechanics (QM/MM) geometry optimizations, and QM/MM free energy simulations with ambient and high-pressure kinetic measurements to investigate the mechanism of the hydrolysis of the substrate p-nitrophenylacetate (pNPA). The zinc center of the hydrolase prefers a pentacoordinated geometry, as found in most naturally occurring CAs and CA-like enzymes. Two possible mechanisms for the catalytic reaction are investigated. The first one is analogous to the commonly accepted mechanism for CA-like enzymes: a sequential pathway, in which a Zn2+-bound hydroxide acts as a nucleophile and the hydrolysis proceeds through a tetrahedral intermediate. The initial rate-limiting step of this reaction is the nucleophilic attack of the hydroxide on pNPA to form the tetrahedral intermediate. The computed free energy barrier of 18.5 kcal/mol is consistent with the experimental value of 20.5 kcal/mol obtained from our kinetics experiments. We also explore an alternative reverse protonation pathway for the hydrolase, in which a nearby hydroxide ion from the bulk acts as the nucleophile (instead of a zinc-bound hydroxide). According to QM/MM MD simulations, hydrolysis occurs spontaneously along this pathway. However, this second scenario is not viable in our system, as the tertiary structure of the hydrolase lacks a suitably positioned residue that would act as a general base and generate a hydroxide ion from a nearby bulk water molecule. Hence, our combined theoretical and experimental study indicates that the investigated minimal CA mimic retains the essential mechanistic features of CA-like enzyme catalysis. The high-pressure experiments show that its catalytic efficiency can be enhanced by applying hydrostatic pressure. According to the simulations, more drastic improvements might be afforded by mutations that make the reverse protonation pathway accessible.