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Methanol \( \left(\mathrm{CH}_{3} \mathrm{OH}\right) \) can be prepared from CO and \( \mathrm{H}_{2} \) as
\( \mathrm{CO}(\mathrm{g})+2 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{CH}_{3} \mathrm{OH}(\mathrm{g}) ; K_{\mathrm{P}}=6.23 \times 10^{-3} \) at \( 500 \mathrm{~K} \).

What total pressure is required to convert 25\% of \( \mathrm{CO} \) to \( \mathrm{CH}_{3} \mathrm{OH} \) at \( 500 \mathrm{~K} \), if \( \mathrm{CO} \) and \( \mathrm{H}_{2} \) comes from the following reaction?
\[
\mathrm{CH}_{4}(\mathrm{~g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \rightarrow \mathrm{CO}(\mathrm{g})+3 \mathrm{H}_{2}(\mathrm{~g})
\]
(a) \( 20.48 \mathrm{bar} \)
(b) \( 21 \mathrm{bar} \)
(c) \( 10.24 \mathrm{bar} \)
(d) \( 5.12 \mathrm{bar} \)
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