You are working with a chemical process in your factory with a Tubular reactor in ADIABATIC conditions.

The conversion of compound A at the outlet of your reactor has a value of 50 %.

The reaction mechanism of your reaction is A + B → D

The reaction rate equation for this reaction is: r↓A = -k↓A C↓A↑a    in kmol m^-3 h^-1

This reaction rate can be writen as a function of conversion of A as:

r_A = -k_AC_A,0^{(α + β + 1)}(1 - X_A)^α (S - a/bX_A}^β {0.01 + X_A)

In which:   α = 2

                 β = 2

                 k_A = e^(-E_A/RT)

E_A, (kJ kmol^-1) = 11000

S = C↓B,0

OTHER DATA:

Initial volumetric flow = 10 cubic meter per hour

mass flow = 10000 kilograms per hour

C_A,0 = 200 kmol m^-3

C_B,0 = 800 kmol m^-3

ΔH↓R = 590 kJ kmol^-1

c↓P: 7 kJ kg^-1k^-1

Temprature of the feed = 10 ^oC

A) Evaluate the overall order of reaction and the units of the rate constant

B) Calculate the TEMPERATURE AT THE OUTLET for your operation conditions

C) Calculate the VOLUME OF YOUR REACTOR for your operation conditions

D) Demonstrate graphycally what is the best configuration to work in continuous for your thermal operation conditions and final conversion (If your best configuration consists in more than one reactor, specify the conversion at the exit of each reactor).