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).