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QUESTION 1(40/100) Duration: 50min A second order elementary gas phase reaction (A+BC,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 1m3,450K and 100kPa, respectively. The average molecular weight of the initial material is 100g/mol. The heat capacity of the mixture (CPs) is 1000J/kg.K. The enthalpy change on reaction is a constant HR=60kJ/mol. The reaction rate constant does not depend on temperature and k=0.01m3/mol.s.Cp 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