Thermoeconomical analysis of an endoreversible chemical engine model with a diffusive transport law of particles

In 1995, De Vos introduced a thermoeconomical analysis for heat engines working in finite time. This analysis was made by the maximization of a benefit function defined as the ratio of the power output and the total costs which are associated to the investment and the fuel consumption. The De Vos methodology has been applied to several heat engine models working at different regimes of performance. In the present work we apply this methodology to a simple model of a chemical engine which works between two reservoirs of constant chemical potential. In this work we take into account a diffusive transport law of particles. From the optimization of the benefit chemical functions defined as the ratio of some characteristic function (power output, efficient power and ecological function) and the total cost involved in the performance of the chemical engine, we obtain the optimal chemical efficiencies under different regimes of performance in an analogous way to the thermo-economic method proposed by De Vos.