A second order elementary gas phase reaction (A+B CIA = KCACE) is carried out in an adiabatic constant pressure batch reactor. Reactor initially contains 30% by volume of A, 30% of B and 40% inerts. The initial reactor volume, reactor temperature and reactor pressure are 1 m, 450 K and 100 kPa, respectively. The average molecular weight of the initial material is 100 g/mol. The heat capacity of the mixture (CPs) is 1000 J/kg.K. The enthalpy change on reaction is a constant AH = -60 kJ/mol. The reaction rate constant does not depend on temperature and k= 0.01 m /mol.s. Ac. is very small that can be neglected a) Calculate the time necessary to reach 80% conversion in this batch reactor b) Calculate the new reactor volume to reach 80% conversion c) Calculate the temperature at 80% conversion. Hint: Use Simpson's one-third rule (three-point) to solve the integral