The rate-limiting step in the chlorination of methane is endothermic, while in the chlorination of propane it is exothermic. Therefore, according to the Hammond's Postulate, substitution of H atoms in methane molecule with D produces a greater change in its transition state energy than the same change in the propane molecule produces in its transition state energy. This means that the deuterium will be abstracted more slowly in the chlorination of methane than in propane, resulting in a slower overall reaction rate in the chlorination of methane.