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The Federal Emergency Management Agency (FEMA) report into collapse of the WTC towers, estimates that about 3,500 gallons of jet fuel burnt within each of the towers. Imagine that this entire quantity of jet fuel was injected into just one floor of the World Trade Center, that the jet fuel burnt with perfect efficency, that no hot gases left this floor, that no heat escaped this floor by conduction and that the steel and concrete had an unlimited amount of time to absorb all the heat. With these ideal assumptions we calculate the maximum temperature that this one floor could have reached.
| CnH2n : CO2 : H2O : N2 | = 1 : n : n : 5.64n moles |
| = 14n : 44n : 18n : 28 x 5.64n kgs | |
| = 1 : 3.14286 : 1.28571 : 11.28 kgs | |
| = 31,000 : 97,429 : 39,857 : 349,680 kgs |
| 39,857 | kilograms of water vapor to the temperature T° C, | |
| 97,429 | kilograms of carbon dioxide to the temperature T° C, | |
| 349,680 | kilograms of nitrogen to the temperature T° C, | |
| 500,000 | kilograms of steel to the temperature T° C, | |
| 1,400,000 | kilograms of concrete to the temperature T° C. | |
| Substance | Specific Heat [J/kg*C] |
|---|---|
| Nitrogen | 1,038 |
| Water Vapor | 1,690 |
| Carbon Dioxide | 845 |
| Lightweight Concrete | 800 |
| Steel | 450 |
| 39,857 x | 1,690 x (T - 25) | Joules are needed to heat the water vapor from 25° to T° C, |
| 97,429 x | 845 x (T - 25) | Joules are needed to heat the carbon dioxide from 25° to T° C, |
| 349,680 x | 1,038 x (T - 25) | Joules are needed to heat the nitrogen from 25° to T° C, |
| 500,000 x | 450 x (T - 25) | Joules are needed to heat the steel from 25° to T° C, |
| 1,400,000 x | 800 x (T - 25) | Joules are needed to heat the concrete from 25° to T° C. |