A waste-to-energy furnace receives70 kg/h waste and 300 kcal/h sensible heat in air. Outputs are90000 kcal/h flue gas,10000 kcal/h ash, and heat loss3% of heat released by waste. Waste sensible heat is negligible and combustion complete. Find waste heat content in kcal/kg, to one decimal.
Let heat content be H. Energy input is 70H+300;outputs are100000+.03(70H). Thus .97(70H)=99700 and $H=99700/(.97\times70)=\mathbf{1468.3}$ kcal/kg. The loss fraction refers to waste combustion energy, not total input including incoming air.
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