For some dissociating molecules, the photodissociation rate becomes comparable to the energy redistribution rate and molecular rotation frequency. In this situation, a correlation could be observed between the recoil angular and speed distributions of the fragments. In a previous communication, Hwang and El-Sayed1 were able to use this correlation to clock the energy redistribution process and to determine its rate for predissociating iodobenzene molecules excited to their pi,pi* excited surface at 304 nm. In this work we use this technique to examine the excess energy dependence of this rate. In addition, we use the width of the observed recoil velocity distribution for the rapidly dissociating molecules excited to their repulsive, n,sigma* surface to examine the excess energy dependence of their rate of energy redistribution. We find that while the rate of energy redistribution increases with excess available energy (i.e., with decreasing the wavelength of the photodissociation laser) for rapidly photodissociating molecules, no definite correlation is observed for the predissociating ones. These observations are explained by the fact that for rapidly dissociating molecules the doorway optical state and the dissociating state are the same, which is not the case for the predissociating molecules.