A gas-phase decomposition is adiabatically conducted in a batch reactor. The decomposition reaction is shown be AR+S The initial temperature is 300 K while the initial volume is 0.5 m?. The total pressure is constant at 500 kPa. The Cp values for A, R and S are 185.6, 104.7, and 80.9 J.moll.K respectively. The enthalpy of reaction is -6280 J.(mol A) The reaction is first order with respect to A with ka = 10'4e-10,000/Th. [i] Derive the material balance and energy balance equations in the simplest form for above reaction conducted in a batch reactor. [8 marks] Using the energy balance, determine and plot the temperature profile for the conversion range of 0.00 to 0.99. The step size should not be smaller than 0.2. [6 marks] Using the temperature in Q.4.[a][ii], determine the residence time to achieve a conversion of 0.99. [4 marks] Based on the calculation in [ii] and [iii], comment on the feasibility of this reaction in an adiabatic batch reactor. [2 marks] [iv]