In this paper, we study the vaporization process of a polydisperse
ensemble of liquid drops on the basis of a nonlinear set of balance and
kinetics equations for the particle-radius distribution function and
temperature in the gaseous phase. We found an exact parametric solution
to this problem using a modified time variable and the Laplace integral
transform method. The distribution function of vaporizing drops as well
as its moments, the temperature dynamics in gas, and the unvaporized
mass of drops are found. The initial particle-radius distribution shifts
to smaller particle radii with increasing the vaporization time. As this
takes place, the temperature difference between the drops and gas
decreases with time. It is shown that the heat of vaporization and
initial total number of particles in the system substantially influence
the dynamics of a polydisperse ensemble of liquid drops.