2. (60 points) Consider the following reaction scheme: kik-1 (1) R+S RS k2 (2) RS - RS* k3 (3) RS* +Aki S + P * AS (a) Using the steady-state approximation, write an "early-time/initial rate expression for d[P]/dt in terms the initial concentrations of A, R, and S. You can assume that the initial concentration of R is much larger than the initial concentration of S. (b) Find the initial rate time dependence of [P] from the expression derived in (a). (c) If k2 >> k3, how is the time dependence of [P] affected by the initial concentration of A? (d) If k3 >> k2, how is the time dependence of [P] affected by the initial concentration of A? (e) Use the activated complex theory to approximate the proportional temperature dependence of the ratio of the reaction rate rates of reactions (2) and (3), K2/k; & f(T). RS has 3 ) translational degrees of freedom, and 2 rotational degrees of freedom; RS* has 3 translational degrees of freedom and 2 rotational degrees of freedom; (RS)F has 3 translational degrees of freedom and 2 rotational degrees of freedom; A has 3 translational degrees of freedom; (RS* AF has 3 translational degrees of freedom and 2 rotational degrees of freedom. The activation energies for both reactions are essentially equal