Question

The irreversible decomposition of the di-tert-butyl peroxide is to carried out in an isothermal PFR in which there is no pressure drop. Symbolically, this reaction can be written A ----> B 2C. The feed consists of di-tert-butyl peroxide and inert nitrogen. The reactor volume is 200 dm3, and the entering volumetric flow rate is maintained constant at 10 dm3/min. The reaction rate constant k for this first-order reaction is 0.08 min-1 which is based on reactant A. For this reactor system, write;(a) the material balance equation(b) the rate law equation

Answer 1

Explanation: see attachment below for the equation,

V = volume = 200 dm3

FA0 = molar flow rate in kmol/min = CA0 X volumetric flow

FA0 (kmol/min) = CA0 kmol/m3 X 10 m3/min

Rate law equation for A = B + 2C

-rA = kCA = 0.08 [CA0(1-X)]

Part C

Material balance equation will remain same

Rate law equation for 3A = B

-rA = kCA3 = 0.08 [CA03(1-X)3]