The heat of formation of `C_(2)H_(5)OH(l)` is `-66Kcal//mol` . The heat of combustion of `CH_(3)OCH_(3)(g)` is `-348Kcal//mol` , `DeltaH_(f)` for `H_(2)O` and `CO_(2)` are `-68Kcal//mol` and `-94Kcal//mol` . Respectively. Then, the `DeltaH` for the isomerisation reaction `C_(2)H_(5)OH(l)rarrCH_(3)OCH_(3)(g)` , and `DeltaE` for the same are at `T=25^(@)C`

Options

A. `Delta H = 18` kcal/mole, `Delta E = 17.301` k cal/mole
B. `Delta H = 22` k cal/mole, `Delta E = 21.408` k cal/mole
C. `Detla H = 26` k cal/mole, `Delta E = 25.709` k cal/mole
D. `Delta H = 30` k cal/mole, `Delta E = 28.522` k cal/mole

Answer

B

Explanation

`2C + 3H_(2) + (1)/(2)O_(2) rarr C_(2)H_(5)OH, Delta H = -66`
`CH_(3).O.CH_(3) + 3O_(2) rarr 2CO_(2) + 3H_(2)O, Delta H = -348`
`(H_(2) + (1)/(2) O_(2) rarr H_(2)O) xx 3, DeltaH = -68 xx 3`
`(C + O_(2) rarr CO_(2)) xx 2, Delta H = -94 xx 2`
And `Delta H = Delta E + Delta nRT`