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For the reaction,
\[
\mathrm{CO}(g)+\frac{1}{2} \mathrm{O}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g)
\]
If the standard entropy change at \( 298 \mathrm{~K} \) is \( -0.082 \mathrm{~kJ} \mathrm{~mol}^{-1} \mathrm{~K}^{-1} \) and standard Gibb's energies of for formation of \( \mathrm{CO}_{2} \) and \( \mathrm{CO} \) are \( -298.4 \) and \( -114.6 \mathrm{~kJ} / \mathrm{mol} \) respectively, then the enthalpy change for the given reaction will be
(a) \( 314.5 \mathrm{~kJ} / \mathrm{mol} \)
(b) \( 159.8 \mathrm{~kJ} / \mathrm{mol} \)
(c) \( 208.24 \mathrm{~kJ} / \mathrm{mol} \)
(d) \( 418.3 \mathrm{~kJ} / \mathrm{mol} \)
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