1. [40 pts] The following liquid-phase parallel reactions take place in a plug flow reactor:
(Reaction 1) 0.15 D + 0.3 E \rightarrow Y + 0.5 Z ; r_Z = k_1 C_D C_E
(Reaction 2) 0.15 D + 0.3 E \rightarrow 0.2 M + B ; r_B = k_2 C_D^{0.5} C_E^{0.5}
What is the instantaneous yield of component M with respect to the limiting reactant if the rate
constant of reaction 1 ($k_1$) is 4 times the rate constant of reaction 2 ($k_2$), the numerical value of the rate
constant of reaction 2 is 1.2 (with an appropriate set of units in the mole, L, minute system), and the
conversion of the limiting reactant is 95%? You may assume that the initial concentrations of D and E
are 2.0 and 1.5 mol/L, respectively. To receive full credit on this problem, you must show all work.
Clearly state any assumptions made, and indicate why (based on the problem statement and, if
appropriate, supporting calculations) the assumptions are made. Express your numerical answer to two
decimal places.
