Problem 2. Sulfur dioxide may be converted to SO3, which is useful in the production of sulfuric acid. A gas stream of 10.0mol%SO2,9.0mol%O2, and the balance nitrogen gas is passed through a two-stage reaction process. The fractional conversion of SO2 to SO3 in the single pass through the first reactor is 75%, and in one pass through the second reactor the fractional conversion is 65%. To boost the overall conversion of the entire process to 95%, some of the exit gas from the second reactor is recycled back to the inlet of the second reactor. Sketch the block flow diagram for the above process. If 100gmol/hr is fed to the first reactor, what is the molar flow rate and composition of this recycle stream? If all reactions take place at 500C and 1atm, what is the volumetric flow rate of the recycle stream? (A couple hints: Just do everything in terms of molar flow rates, then apply the ideal gas law at the very end. In your work, you may find no unit has zero DOF at first. So, "partially" solve a unit and pass that information around, to help you eventually get to zero DOF somewhere.)