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# When 10 grams of methane is completely burnt in oxygen, the heat evolved is 560 KJ. What is the heat of combustion (in KJ/mol) of methane?A. -1120B. -968C. -896D. -560

Last updated date: 12th Jul 2024
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Hint: Heat of combustion also known as calorific value is the amount of energy released when a compound under standard conditions undergoes complete combustion with oxygen. Calorific values are generally measured using a bomb calorimeter.

The chemical formula for methane is $C{H_4}$ and its molecular mass is calculated as the sum of Mass of the carbon atom and Mass of hydrogen atoms. The molar mass of carbon is 12g/mol and the mass of hydrogen atom is 1g. Therefore, the Molar mass of methane is:
$12 + 4 \times 1 = 16g/mol$
As we know, 10 gram of methane on combustion gives 560 KJ of heat. So 1 gram of methane on combustion gives = $\dfrac{{560}}{{10}}KJ$ of heat. Hence, 16 gram of methane on combustion give=$\dfrac{{560}}{{10}} \times 16 = 896KJ$
Thus the heat of combustion of methane is -896KJ/mol.

So, the correct answer is Option C.