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Optimal performance of an endoreversible chemical pump with diffusive mass transfer law

The performance of an isothermal endoreversible two-reservoir chemical pump, in which the mass transfer obeys diffusive law, is analysed and optimised in this paper. The relation between the rate of energy pumping and the coefficient of performance of the isothermal chemical pump is derived by using finite-time thermodynamics. Moreover, the relation between the minimum power input and the coefficient of performance, and the relation between the minimum entropy production rate and the rate of energy pumping are obtained. The results obtained herein can provide some new theoretical guidelines for the optimal design of a class of apparatus such as mass exchangers, as well as electrochemical, photochemical, solid-state devices, and the fuel pumps for solar-energy conversion systems.