A first-order reaction with a rate constant equal to 0.05 min^-1 is taking place in a constant volume batch reactor of 15 liters and operating isothermally at 300K. A desired conversion of 80% is achieved. The initial number of moles of the converted species is 7.5 moles. The reaction enthalpy (ΔH) and the overall heat transfer coefficient times the heat transfer area (UxA) are -47,500 J mol^-1 and 25.0 W K^-1 respectively.
a) Determine the amount of heat required and the temperature as a function of time to maintain isothermal conditions. (8 Marks)
b) Does the amount of heat found in part (a) represent a rate of heat removal or heat addition? (2 Marks)