Answer:
[tex]\Delta H[/tex] for the given reaction is -238.7 kJ
Explanation:
The given reaction can be written as summation of three elementary steps such as:
[tex]C(graphite)+O_{2}(g)\rightarrow CO_{2}(g)[/tex] [tex]\Delta H_{1}= -393.5 kJ[/tex]
[tex]2H_{2}(g)+O_{2}(g)\rightarrow 2H_{2}O(l)[/tex] [tex]\Delta H_{2}= (2\times -285.8)kJ[/tex]
[tex]CO_{2}(g)+2H_{2}O(l)\rightarrow CH_{3}OH(l)+\frac{3}{2}O_{2}(g)[/tex] [tex]\Delta H_{3}= 726.4 kJ[/tex]
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[tex]C(graphite)+2H_{2}(g)+\frac{1}{2}O_{2}(g)\rightarrow CH_{3}OH(l)[/tex]
[tex]\Delta H=\Delta H_{1}+\Delta H_{2}+\Delta H_{3}=-238.7 kJ[/tex]