Solutions for diffusion in non-isothermal conditions are derived by an
alogy with diffusion in isothermal conditions when diffusivity is cons
tant or time dependent. The effects of heating or cooling rates on the
concentration profiles, boundary-layer thickness, and amount of mater
ial transferred, are described and can be assessed even when the tempe
rature dependence of diffusivity and/or interfacial concentration is u
nknown. The effects of the rate of change in temperature on the amount
of material transferred can be used also to assess whether this is co
ntrolled by diffusion or reaction.