Multi-step heterogeneous consecutive reactions on non-porous catalyst were studied when external mass transfer occuring under non-isothermal condition mainly affects the reaction rates, and useful equations were derived in terms of the dimensionless groups and the measurables by the combination of mass balances with heat balance around the surface of the catalysts.
From the analyses of the equations derived, the enhancements for the surface concentrations of the intermediates were regarded to be identical to those under isothermal condition, and those for the effectiveness factors for the intermediate steps were conculded to be the very multiplications of those through isothermal process by the ratios of the rate constants of the reactions for the corresponding steps at the surface conditions to those at the bulk condition.