An exact solution of unsteady flow past a parabolic flow past an infinite isothermal vertical plate in the presence of homogeneous chemical reaction of first order has been studied. The plate temperature as well as concentration level near the plate are raised uniformly. The dimensionless governing equations are solved using Laplace transform technique. The effect of velocity profiles are studied for different physical parameters like chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Radiation and time. It is observed that the velocity increases with increasing values the thermal Grashof number or mass Grashof number. The trend is just reversed with respect to the chemical reaction parameter
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