Under conditions of strong pore diffusion the reaction A R proceeds at 700C on a slowly

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Under conditions of strong pore diffusion the reaction A → R proceeds at 700°C on a slowly deactivating catalyst by a first-order rate -A = 0.030 CA, [mol/gm.min]

Deactivation is caused by strong absorption of unavoidable and irremovable trace impurities in the feed, giving third-order deactivation kinetics, orda = 3a, dt [1/day]

We plan to feed a packed bed reactor (W = 10 kg) with ν = 100 liters1 min of fresh A at 8 atm and 700°C until the catalyst activity drops to 10% of the fresh catalyst, then regenerate the catalyst and repeat the cycle,
(a) What is the run time for this operation?
(b) What is the mean conversion for the run?

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