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I need to calculate the heat of combustion per mole and per kilogram of complete combustion of, say, X.

  1. I write reaction : $\ce{X + O2 -> ... + Q}$
  2. Find Q using Hess law

Now, what do I do after that?

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Q is the heat of combustion per mole. Next, you would use the formula weight to determine the heat of combustion per g (or kg).

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