In this talk we present a non-isothermal kinetic model of the interactions between dust particles and gas molecules. We assume that gas-dust collisions follow a diffuse reflection mechanism at the surface of the dust particles as in [1] and [2]. The surface temperature of the particles is treated as a function of time and space, satisfying a transport-like equation. The highlight of this model is that it allows to derive both the conservation of the total energy of the system and an explicit expression of the entropy. After dimensionalizing the equations, we carry out a formal diffusive asymptotics for a two-species Maxwell-Stefan model, with several small model parameters tending towards zero. This is a joint work with Annamaria Massimini and Francesco Salvarani [3].[-]