A gas-phase reversible reaction
A = B
is carried out under high pressure in a packed-bed reactor with pressure drop. The feed consists of both inerts I and species A with the ratio of inerts to the species A being 2 to 1. The entering molar flow rate of A is 5 mol/min at a temperature of 300 K and a concentration of 2 mol/dm^3. Work this problem in terms of volume. With adiabatic operation, plot X, Xe, T, and the rate of disappearance as a function of V up to V=40 dm^3. Explain why the curves look the way they do. Please use matlab to solve the porblem.
Fao = 5 mol/min
Cao = 2 mol/dm^3
Ci = 2 Cao
Cpi = 18 cal/mol/K
Cpa = 160 cal/mol/K
E = 10000 cal/mol
Hrxn = -20000 cal/mol
Kc = 1000 at 300 K
Cpb = 160 cal/mol/K
pb = 1.2 kg/dm^3
To = 300 K
T1 = 300 K
k1 = 0.1 1/min at 300 K
Ua = 150 cal/dm^3/min/K
Tao = 300 K
V = 40 dm^3
\alpha pb = 0.02 dm^3