The exothermic reaction AB takes place in the liquid phase in the PFR reactor at a pressure of 202.6kPa. The feed stream to the reactor consists of 600mol/s pure A. In addition, it is known that the molar volume of pure A is 0.056m3/kmol. The molar specific heat of A and B is 42J/mol/K and the heat of reaction at 200C is 15kJ/mol. The rate constant of the reaction is: k=0.11+0.008(T200)s1 where T is in degrees Celsius. Ideally, it is desirable to operate the reactor adiabatically, but the maximum temperature at which the reaction can be carried out is 400C. This is because above this temperature unwanted by-products are formed. Therefore, the reactor is divided into two sectors: one is adiabatic and in the other the reactor is cooled and works in isothermal conditions. A. Calculate the minimum volume of reactor needed to reach 80% conversion of A. B. If water at Tc=300K is used for cooling the isothermal part of the reactor, what should be the heat transfer coefficient U as a function of conversion? What is the average value of U