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I have been thinking about attempting to quantify the statement that:

"Gasification is more efficient thermodynamically than direct combustion of the fuel source as the gas can be combusted at higher temperatures, resulting in higher thermodynamic efficiencies as defined by Carnot's rule"

Now, this statement is true because you can indeed combust the gas at higher temperatures than the fuel directly, meaning that the hot reservoir temperature is greater (η=1-(Tc/Th)).

However, how would you prove this statement in a more fundamental way? How do you calculate or prove that the gas is able to be combusted at higher temperatures than the fuel itself?

In addition, how would you prove mathematically that one fuel (say a syngas rich in H2 compared to a poorer heating quality syngas) can be combusted at higher temperatures than another, resulting in an improved thermodynamic upper limit efficiency defined by Carnot? Is it simply a case of calculating the heat of combustion?

Thanks,

David