Metallic molybdenum can be produced from the mineral molybdenite, MoS2. The mineral is first oxidized in air to molybdenum trioxide and sulfur dioxide. Molybdenum trioxide is then reduced to metallic molybdenum using hydrogen gas. The balanced equations are given below.
MoS2(s) + 7/2 O2(g) MoO3(s) + 2 SO2(g)
MoO3(s) + 3 H2(g) Mo(s) + 3 H2O(s)
Calculate the volumes of air and hydrogen gas at 14°C and 1.00 atm that are necessary to produce 1.00 multiplied by 103 kg of pure molybdenum from MoS2. Assume air contains 21% oxygen by volume and assume 100% yield for each reaction.