An ideal PFR is designed essentially like a single pass, multiple tube heat exchanger. The reactant flows through the tubes, and the coolant flows in the shell, as shown below: There are six1cm(0.01m) diameter tubes in the reactor. The liquid phase reaction is A+2BCrA=kCACB2HRx=3106kJ/kmolA k=1.73104exp(5000/T)m6/(kmol2min) with T in Kelvins CA0=CB0=1.5kmol/m3T0=100C(373K)v0=0.06m3/min The heat capacity and density of the reactant/product are constant and equal to 5kJ/(kgK) and 1000kg/m3, respectively. Assume Delta cp=0 The overall heat transfer coefficient U between the reaction mixture and coolant is 20 kJ/(minm2K), and the coolant mass flow rate and heat capacity are 250kg/min and 4.2kJ/(kgK), respectively. a) Determine the value of dFA/dV (be sure to include units) at the reactor inlet. b) Find a, the PFR heat-exchange area per volume of reactor. c) Determine the value of Ta2 (the coolant effluent temperature, i.e., at V=0 ) required such that dT/dV=0 at the reactor inlet. An ideal PFR is designed essentially like a single pass, multiple tube heat exchanger. The reactant flows through the tubes, and the coolant flows in the shell, as shown below: There are six1cm(0.01m) diameter tubes in the reactor. The liquid phase reaction is A+2BCrA=kCACB2HRx=3106kJ/kmolA k=1.73104exp(5000/T)m6/(kmol2min) with T in Kelvins CA0=CB0=1.5kmol/m3T0=100C(373K)v0=0.06m3/min The heat capacity and density of the reactant/product are constant and equal to 5kJ/(kgK) and 1000kg/m3, respectively. Assume Delta cp=0 The overall heat transfer coefficient U between the reaction mixture and coolant is 20 kJ/(minm2K), and the coolant mass flow rate and heat capacity are 250kg/min and 4.2kJ/(kgK), respectively. a) Determine the value of dFA/dV (be sure to include units) at the reactor inlet. b) Find a, the PFR heat-exchange area per volume of reactor. c) Determine the value of Ta2 (the coolant effluent temperature, i.e., at V=0 ) required such that dT/dV=0 at the reactor inlet