The possibility of developing a apparatus based on the results of kinetic calculations of the processes, occurring in it, is considered. The studies were carried out with the system solid-liquid-vapor-gas medium with a continuous increase in vacuum above the surface of a layer of the dispersed material. The presence of the liquid phase and the vapor-gas phase in equilibrium with it makes it possible to provide a change in concentration, structure, or cooling in the system due to artificial disturbance of the dynamic equilibrium of the system. To develop a mathematical model of the liquid removal process, a model of ideal mixing in the vapor-gas phase and a layer of the dispersed material was adopted. The calculation results are presented in the form of kinetic dependences of the main process parameters. Calculation of the apparatus is carried out at the highest load in the vapor-gas phase during the period of removal of the free moisture. In this case, the influence of rarefaction on the physical characteristics of the removed fluids and the design features of the apparatus being calculated was taken into account.