A kinetic model is developed of the system, and the net forward reaction rates of the two reaction are given by the component partial pressures. The partial pressures are given in atm. r1=k1(ppBpCpD/K1)r2=k2(ppDpE/K2) There is mass transfer resistance in the catalyst pellet, but the effectiveness factors are lumped into the rate constanls k1 and k2. The reaction rates are given in units kmol/(m3s). We will apply a fixed bed reactor, and we may assume that the flow can be well approximated by a plug flow reactor model (PFR). The heat of reactions are low and the temperature along the reactor is assumed to be constant and equal to the inlet temperature, 200C. The pressure drop over the catalyst bed can be describe by Ergun's equation. However, since the gas velocity is relatively small, we will neglect the pressure drop and set the pressure along the bet equal to the feed pressure, 50atm. At 200C the reactiondrate constants are k1=4105 and k2=2105, while the equilibrium constants are K1=12 and K2=0.8atm1. The molecular weights are 50 , 70,100,20 and 70 for the components A, B, C, D and E, respectively. The composition of the feed gas is equimolar 50mol%A and B with a total feed of 100ton/h. a) Show that the following relations between the component reaction rates hold. RC=RBRD=RA2RBRE=RA+RB b) Construct equations describing how the composition is changing along the reactor. c) Make a Python script that solves the equations and determine the necessary volume of the reactor if the concentration of C is 35mol% at the outlet. d) With a reactor volume of 20m3, determine feed composition that maximized the C concentration out of the reactor