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There is no definite equation as, for one thing, the specific equation depends on the fuel being burned. Below are three common, though somewhat idealized, variations.

For carbon (e.g. coal): C + O2 -----> CO2

For methane (e.g. natural gas): CH4 + 2O2 --> CO2 + 2H2O

For octane (a component of gasoline): 2C8H18 + 25O2 --> 16CO2 + 18H2O

In most real world cases, though these reactions will result in some amounts of Carbon monoxide (CO) as well as CO2 due to incomplete combustion.

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