Problem 3 Vanadium Pentaoxide can be used as a catalyst for the following reaction - S02+02SO3 It was determined that the rate expression for this reaction is as follows: r = kps02P1/2 (1 + K₁Ps02)² where: k = 0.184 lb mol h. atm³/2. lbcat and K₁ =0.996 atm If SO2 and O2 are fed into the reactor at 100 lb-mol each, how many pounds of catalysts h are need to reach 20% conversion if the reactor operates isothermally at 649 F and under constant pressure of 1 atm?

Fig: 1