Sulfur dioxide is oxidized to sulfur trioxide in a small pilot-plant reactor. SO₂ and 100% excess air are fed to the reactor at 450°C. The reaction proceeds to a 65% SO₂ conversion, and the products emerge from the reactor at 550°C. The production rate of SO₃ is 1.00 x 10² kg/min. The reactor is surrounded by a water jacket into which water at 25°C is fed.

(a) Calculate the feed rates (standard cubic meters per second) of the SO₂ and air feed streams and the extent of reaction, ε (k mol/s).

(b) Calculate the standard heat of the SO₂ oxidation reaction, ΔH˚_г (kJ/mol). Then, taking molecular species at 25°C as references prepare and fill in an inlet—outlet enthalpy table and write an energy balance to calculate the heat (kW) that must be transferred from the reactor to the cooling water.

(c) Calculate the minimum flow rate of the cooling water if its temperature rise is to be kept below 15°C.

(d) Briefly state what would have been different in your calculations and results if you had taken elemental species as references in part (b)