An adiabatic CSTR of 10000 l. carry out a reaction in gas phase A \(\rightleftharpoons\) R, with a feed rate of 50000 L/h (1 atm and 300°C). The feed composition is 40% A and 60% inert (I).
a) What will be the conversion of A and the reactor outlet temperature?
b) For the reactor operates at 300°C, what should be the temperature of feed?
Please state all assumptions and show step-by-step your solution.
Data: \(K_c = 4.19\) (at 300°C), \(\Delta H_{rxn} = -3500\) cal/mol (temperature independent), \(C_{p_R} = 7\) cal/molK, \(C_{p_A} - C_{p_R} = 17.5\) cal/molK, \((-r_A) = k_A(C_A - C_R/K_c)\), \(E = 3000\) cal/mol, \(k_A = 14.9\) 1/h (at 300°C)