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Consider the reactions:
\[
\begin{array}{cr}
\mathrm{C}(s)+2 \mathrm{H}_{2}(g) \longrightarrow \mathrm{CH}_{4}(g) ; & \Delta H=-X \mathrm{kcal} \\
\mathrm{C}(g)+4 \mathrm{H}(g) \longrightarrow \mathrm{CH}_{4}(g) ; & \Delta H=-X_{1} \mathrm{kcal} \\
\mathrm{CH}_{4}(g) \longrightarrow \mathrm{CH}_{3}(g)+\mathrm{H}(g) ; & \Delta H=+Y \mathrm{kcal}
\end{array}
\]
The average bond energy of \( \mathrm{C}-\mathrm{H} \) bond is:
(A) \( \frac{X}{4} \mathrm{kcal} \mathrm{mol}^{-1} \)
(B) \( Y \mathrm{kcal} \mathrm{mol}^{-1} \)
(C) \( \frac{X_{1}}{4} \mathrm{kcal} \mathrm{mol}^{-1} \)
(D) \( X_{1} \mathrm{kcal} \mathrm{mol}^{-1} \)
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