Calculus for Kinetic Modeling                                   Velocity, Acceleration & Reaction Kinetics
Name___Sample Solution_____                               Date___________
RK Exercise 3
Reactant A has an initial concentration A(0) = 80 M, where M = E-5 moles/liter. Let A->B->C be a sequential unimolecular reaction with a rate constant of k1 = .35 for the first reaction, and a rate constant of k2 = .15 for the second reaction.
(a) Compute velocity and acceleration functions for the given concentration functions below.

(b) How long after the reaction begins does it take the concentration of intermediate B to reach a maximum? What is this maximum concentration of intermediate B?


(c) When is the loss rate of B equal to -7/8 the gain rate of C? What are these two rates?


(d) What are the concentrations of intermediate B and product C at the time found in (c)? ,  (e) Label the concentration vs time plot below with the information found in (b), (c), and (d).