Vaporization of a single liquid droplet in an environment with a temporal variation of pressure is investigated numerically. As a typical case, the evaporation rate (lifetime) of water droplets for a process of adiabatic compression is analyzed. The relative sensitivity of system parameters (i.e. the rate of compression, the initial droplet size and temperature, and the initial temperature and relative humidity in the environment) affecting the vaporization of water droplets is systematically discussed. The results for a process of adiabatic compression are compared with those under an isobaric condition. Physically, the relevant results obtained here are still qualitatively valid for other liquid droplets.