The heat of formation of${\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}\left(\mathrm{l}\right)$ is -66 kcal/mole. The heat of combustion of ${\mathrm{CH}}_3{\mathrm{OCH}}_3\left(\mathrm{g}\right)$ is -348 kcal/mole. ${\mathrm{\Delta H}}_{\mathrm{f}}$ for ${\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)$ and ${\mathrm{CO}}_2$ $\left(\mathrm{g}\right)$ are -68 kcal/mole and-94 kcal/mole respectively. Then the $\mathrm{\Delta H}$ for the isomerisation reaction,

${\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}\left(\mathrm{l}\right)⟶{\mathrm{CH}}_3{\mathrm{OCH}}_3\left(\mathrm{g}\right)$ and $\mathrm{\Delta E}$ for the same are : (Take : ${\mathrm{T}}_{\text{surr }}=298\mathrm{K}$)