A catalytic reaction A→ 4R is carried out at 3.2 atm. and 117°C in a plug flow reactor which contains 0.01 kg of catalyst and uses a feed consisting of the partially converted product of 20 1/hr of pure unreacted A. The results are as follows: Run 1 2 3 4 CA,in mol/1 0.1 0.08 0.06 0.04 CA,out mol/1 0.084 0.07 0.055 0.038 Find a rate equation to represent this reaction. Also determine the amount of catalyst required in a packed bed with very large recycle rate for 35% conversion for a feed rate of 2000 mol/h of pure A at 3.2 atm, and 117°C.