Example. Methanol, $C{H}_{3}OH,$ can be made by the reaction of $CO$ with $H_2$ :

$CO(g)+2H_2(g)C{H}_{3}OH(g)$

$($a$)$ Calculate ${}_{r}H$ and ${}_{r}S$ for this reaction. $($b$)$ Calculate ${}_{r}G$ at $298K.$ Is the reaction spontaneous? $($c$)$ Calculate ${}_{r}G$ at $500K,$ assuming that

${}_{r}H$ and ${}_{r}S$ do not very greatly with temperature. Is the reaction spontaneous under these conditions?

data:

$\backslash$table$[[,{}_{H}H(kJmo{l}^{-1}),S(Jmo{l}^{-1}{K}^{-1})$