A second order elementary gas phase reaction (A + B C, rA=kCACB) 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 m3 , 450 K and 100 kPa, respectively. The average molecular mass of the initial material is 100 g/mol. The heat capacity of the mixture (CPS) is 20000 J/kg.K. The enthalpy change on reaction is a constant HR=-60 kJ/mol. The reaction rate constant does not depend on temperature and k =0.01 m3 /mol.s. Cp is very small that can be neglected. (Hint: Use Simpsons one-third rule (three-point) to solve the integral) a) Calculate the time, b) Calculate the new reactor volume, c) Calculate the reactor temperature, required to achieve 50% conversion