A calorimeter is to be used to compare the energy content of some fuels. In the calibration of the calorimeter, an electrical resistance heater supplies 100.0 J of heat and a temperature increase of 0.8508C is observed. Then 0.245 g of a particular fuel is burned in this same calorimeter, and the temperature increases by 5.238C. Calculate the energy density of this fuel, which is the amount of energy liberated per gram of fuel burned. 

Strategy The calibration step allows us to determine the calorimeter constant. Once this is known, the amount of heat evolved from the fuel can be determined by using Equation 9.6. Finally, we divide this heat by the mass of fuel that generated it to arrive at the requested energy density.

Equation 9.6

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9 = Ccalorimeter X AT