The feed stream to a Claus plant consists of 20.0 mole% H₂S and 80.0% CO₂. One-third of the stream is sent to a furnace where the H₂S is burned completely with a stoichiometric amount of air and 25?C. The reaction is the product gases from this reaction are then mixed with the remaining two-thirds of the feed stream and sent to a reactor in which the following reaction goes to completion: the gases leave the reactor flowing at a rate of 10.0m³/min at 380^oC and 205kPa absolute. Assuming ideal gas behavior, determine the feed rate of air in k mol/min.

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H₂S + 2O₂ → SO₂ + H₂O 2H₂S + SO₂ → 2 H₂O + 3S