You are running the following gas-phase reaction in an adiabatic and isobaric PFR: A+2BC The reaction rate is given by rA=kCB2. The rate constant, k, is known to obey the Arrhenius equation with Ea=500J/mol. At 300K,k is measured to have a value of 0.0055L/(mols) a. Given the feed temperature is 500K, find the outlet conversion and outlet temperature. [T=500K,X=0.0032] Parameters: V=150LCP,A=CP,B=CP,I=150J/(molK)HR=7000J/molCP=0F0=5mol/sv0=50L/syA0=0.2yB0=0.6yinert=0.2 b. If the reactor temperature must never exceed Tmax=600K and you wish to have a final conversion of 0.95 , what feed temperature will allow you to use the smallest reactor volume possible? What is this volume? [ T0=593K,V=70000L]