Calculate the standard heat of formation of (mathrm{CH}_{4}), given the following experimental results at (25^{circ} mathrm{C}) and

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Calculate the standard heat of formation of \(\mathrm{CH}_{4}\), given the following experimental results at \(25^{\circ} \mathrm{C}\) and \(1 \mathrm{~atm}\) :

(a) \(2 \mathrm{H}_{2}(\mathrm{~g})+\mathrm{O}_{2}\) (g) \(\rightarrow 2 \mathrm{H}_{2} \mathrm{O}\) (l)

\[ \Delta H_{1}=-241.8 \times 2=-483.6 \mathrm{~kJ} / \mathrm{gmol} \mathrm{H}_{2} \]

(b) \(\mathrm{C}\) (graphite) \(+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{CO}_{2}(\mathrm{~g})\) \(\Delta H_{2}=-393.51 \mathrm{~kJ} / \mathrm{gmol} \mathrm{C}\)

(c) \(\mathrm{CH}_{4}(\mathrm{~g})+2 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{CO}_{2}(\mathrm{~g})+2 \mathrm{H}_{2} \mathrm{O}\)

(l) \(\Delta H_{3}=-802.36 \mathrm{~kJ} / \mathrm{gmol} \mathrm{CH}\)

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