Calculus for Kinetic Modeling                                      Velocity, Acceleration & Reaction Kinetics
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RK Exercise 4
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 k1 = .1 for the first reaction, and a rate constant k2 = .2 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 gain rate of B a maximum, and when is it a minimum. What are these two rates?
 
 
 
 

(d) When is the gain rate of C a maximum, and when is it a minimum. What are these two rates?
 
 
 
 

(e) Label the concentration vs time plot below with the information found in (b), (c), and (d).