An effect of periodic temperature and concentration on unsteady free convective, viscous incompressible flow and heat transfer in slip-flow regime is carried out. Assuming variable suction at the plate, approximate solutions are obtained for velocity, skin-friction, temperature, heat transfer and concentration. During the course of discussion, the effects of Gr (Grashof number based on temperature), Gc (modified Grashof number based on concentration difference), A (suction parameter) and [omega] (frequency parameter) for carbon dioxide (Sc = 0.94) in air (Pr = 0.71) are presented and discussed graphically