We describe an analytical procedure for obtaining rate constants, branching ratios, and kinetic energy distributions following the unimolecular dissociation of a species with arbitrary energy and angular momentum. With it the effects of small changes in the assumed potential energy surface can be readily examined. Limitations to the Rice-Gershinowitz hypothesis concerning angular momentum effects are identified. It is further shown how angular momentum can affect a branching ratio and thus, indirectly, a kinetic energy distribution.