In a test of rocket propellant performance, liquid hydrazine (N₂H₄) at 14.7 lbf/in.2, 77 F, and oxygen gas at 14.7 lbf/in.2, 77 F, are fed to a combustion chamber in the ratio of 0.5 lbm O2/lbm N₂H₄. The heat transfer from the chamber to the surroundings is estimated to be 45 Btu/lbm N₂H₄. Determine the temperature of the products exiting the chamber. Assume that only H₂O, H₂, and N₂ are present. The enthalpy of formation of liquid hydrazine is +21 647 Btu/lb mole.