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