A total of 2500 L/h of M is being isomerized to a mixture of O, and P in a reactor containing 1000 kg of catalyst. The reaction is being carried out at 500 C and 25 bar. Under these conditions, 37% of M fed the reactor is isomerized. At a flow rate of 1667 L/h, 50% of the M is isomerized at the same temperature and pressure. Energy change is negligible. It is now proposed that a second plant to be built at a capacity to process 5500 L/h of M at the same temperature and pressure described earlier. What reactor size (catalyst amount) is required if the conversion in the new plant is to be 46% instead of 37%? Make any assumptions you find relevant to solve this