A model describing non-isothermal sorption of gases within sorbent material with a monodisperse pore structure, in a batch frequency response system, subjected to small periodic volume perturbations is formulated. The model accounts for internal mass diffusion resistance, surface mass transfer resistance, external film heat transfer resistance, and heat transfer to the surrounding environment. The general model is linearised and analytical solutions for the in-phase and out-of-phase components of the gas temperature and pressure response and the sorbent particle temperature response to a harmonic perturbation of the system volume are presented for infinite slab, infinite cylinder and spherical microparticle geometry. Finite rates of heat transfer from the gas phase to the environment and from the sorbent particle to the gas phase are shown to influence significantly the in-phase and out-of-phase components of the gas pressure response.