Starting from mass and energy balances, develop the equations to calculate the mass of methane fuel needed if you want to burn it along with X lb of air to achieve a final temperature of the com- bustion gases of T degrees F. Assume that Xlb of air is more than enough to achieve complete combustion of methane to CO, and H,0, and that no pollutants are formed. Also assume adiabatic combustion, and that the air and methane both start at 60 °F. Now assume that Xis 30 lb, and Tis 1800 °F. Calculate the mass of methane you need. Give your answer in Ib of methane.

Starting from mass and energy balances, develop the equations to calculate the mass of methane fuel needed if you want to burn it along with X lb of air to achieve a final temperature of the com- bustion gases of T degrees F. Assume that Xlb of air is more than enough to achieve complete combustion of methane to CO, and H,0, and that no pollutants are formed. Also assume adiabatic combustion, and that the air and methane both start at 60 °F. Now assume that Xis 30 lb, and Tis 1800 °F. Calculate the mass of methane you need. Give your answer in Ib of methane.