In this paper, we introduce a new approach to treating the electron transport in Hall thrusters. The overarching objective is to find an electron transport model that can be imported into simulations to guide in the engineering development of new Hall thruster configurations and operating conditions. In the approach here, we model the electron entropy production and its scaling with effective collision frequency and magnetic field and complement the usual equations for the electrons with a transport equation for electron entropy. This additional equation allows us to close the set of equations for the electron fluid without the need to have to introduce an electron mobility. The electron mobility becomes a calculated parameter within the framework of these simulations. Initial results are presented for the calculation of the electron mobility for operating conditions of a laboratory Hall thruster as well as for an SPT-100.