The activation energy of an isomerization reaction which obeys 1st-order kinetics is known to be 100 kJ/mol and the pre-exponential of reaction is 1x105 cm/min. When the isomerization reaction is run under strong pore diffusion limitations at 400 K, 400 g of catalyst are required to achieve 60% conversion. a) Write the mole balance for the packed-bed reactor. b) Calculate how much catalyst is required to get 60% conversion if the temperature is raised to 445 K