The heat of formation of C 2 H 5 OH( λ ) is − 66 kcal/mole. The heat of combustion of CH 3 OCH 3 (g) is – 348 kcal/mole. Δ H f for H 2 O and CO 2 are − 68 kcal/mole and − 94 kcal/mole respectively. Then, the Δ H for the isomerisation reaction C 2 H 5 OH ( λ ) ⎯→ CH 3 OCH 3 (g) and Δ E for the same are at T = 25°C
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Δ H F ° C 2 H 5 OH ( λ ) = – 66 Kcal/mole
2C + 3H 2 + 
O 2 ⎯→ C 2 H 5 OH Δ H = – 66 kcal/mole ....
CH 3 –O–CH 3 + 3O 2 ⎯→ 2 CO 2 + 3H 2 O Δ H = – 348 kcal/mole ....
[H 2 (g) + 
O 2 (g) ⎯→ H 2 O Δ H 3 – 68 kcal/mole ....
[C + O 2 ⎯→ CO 2 Δ H 4 = – 94 kcal/mole ....
Target equation = – eq 1 – eq 2 + 3 eq 3 + 2 eq 2
Δ H = + 66 + 348 – 3 × 68 – 2 × 94 = + 66 + 348 – 204 – 188 
Δ H = 22 K cal/mole
Δ H = Δ E + Δ ngRT 
22 = Δ E + 1 × 2 × 298 × 10 –3 
Δ E = 21.4 Kcal/mole
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