An exact solution of unsteady flow past an exponentially accelerated infinite vertical plate with variable temperature is analyzed in the presence of homogeneous chemical reaction of first order. The dimensionless governing equations of the fluid flow are solved by Laplace transform technique for finding the concentration, temperature and velocity field. These are presented graphically for different values of physical parameters like thermal Grashof number (Gr), mass Grashof number (Gc), Schmidt number (Sc), acceleration parameter ‘a’ and time. The numerical values of skin-friction are also studied graphically. It is observed that the velocity increases with a, Gr and Gc, but decreases as K increases.