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The entropy change for
\[
\mathrm{CH}_{4}(g)+\mathrm{H}_{2} \mathrm{O}(g) \longrightarrow 3 \mathrm{H}_{2}(g)+\mathrm{CO}(g)
\]
using the following data is
\begin{tabular}{ccccc}
\hline Substance & \( \mathrm{CH}_{4}(g) \) & \( \mathrm{H}_{2} \mathrm{O}(g) \) & \( \mathrm{H}_{2}(g) \) & \( \mathrm{CO}(g) \) \\
\hline \( \boldsymbol{S}^{\circ} / \mathbf{J K}^{-1} \mathbf{m o l}^{-1} \) & \( 186.2 \) & \( 188.7 \) & \( 130.6 \) & \( 197.6 \) \\
\hline
\end{tabular}
(a) \( -46 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \)
(b) \( +46 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \)
(c) \( -214.5 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \)
(d) \( 214.5 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \)
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