Question

Homework As in the lecture note, the three expressions for the bimolecular reaction rate constant are: Collision theory: 1/2 87k k = P(r = P(53 +rs)? ( Brak 3 ?) " 2-8"RT (1 + r)2 + r.)2 e-E/RT Transition state theory: k2 = kRT e-AG*/RT _ B Fe 4S*/Re-AH*/RT hcoe45 Arrhenius: k = Ae-Ea/RT If we define the Arrhenius A factor as a temperature-independent coefficient, what is A corresponding to in collisional theory and in transition state theory?

Answer 1

Since A is temperature independent factor, therefore, in the collision theory and transition state theory the coefficient which are temperature independent corresponds to A in Arrhenius theory. Thus,

point 1: A corresponds to $\frac{k_{B}e^{\Delta S^{*}/R}}{hc^{0}}$ in the transition state theory.

Point 2: A corresponds to $P(r_{1}+r_{2})^{2}(\frac{8\pi k_{B}}{\mu })^{1/2}$