Calculus for Kinetic Modeling                                      Velocity, Acceleration & Reaction Kinetics
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RK Exercise 2
Reactant A has an initial concentration A(0) = 80 M, where M = E-5 moles/liter. Let A->B be a unimolecular reaction with concentration function A(t) for reactant A, concentration function B(t) for product B, and with rate constant k = .22.
(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 product B to reach 54 M?
 
 
 
 

(c) What is the gain rate of product B when its concentration is 54 M? Also, what is the loss rate of reactant A at this same time?
 
 
 

(d) When is the concentration of product B equal to 25 times the concentration of reactant A?
 
 
 
 
 

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