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Engineering Chemistry S Datta

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94 ENGINEERING CHEMISTRY

Sol. Given,

(i) C 2

H 4

+ 3O 2

⎯⎯→ 2CO 2

+ 2H 2

O,

(ii) H 2

+ 1 2 O 2 ⎯⎯→ H 2 O,

∆H = – 337.2 Kcal.

∆H = 68.3 Kcal.

(iii) C 2

H 6

+ 7 2 O 2 ⎯⎯→ 2CO 2 + 3H 2 O,

∆H = – 372.8 Kcal

or, (iv) 2CO 2

+ 3H 2

O ⎯⎯→ C 2

H 6

+ 7 2 O 2

, ∆H = + 372.8 Kcal.

Adding the equations (i), (ii) and (iv) we have,

C 2

H 4

+ 3O 2

+ H 2

+ 1 2 O 2 + 2CO 2 + 3H 2 O ⎯⎯→ 2CO 2 + 2H 2 O + H 2 O + C 2 H 6 + 7 2 O 2

∴ C 2

H 4

+ H 2

→ C 2

H 6

, ∆H = – 32.7 Kcal.

(∆H = – 32.7 Kcal)

Example 7. Calculate O—H bond energy from the following heats of reactions.

H 2

(g) → 2H(g), ∆H = 104 Kcal ...(i)

O 2

(g) → 2O(g), ∆H = 120 Kcal ...(ii)

H 2

(g) + 1 2 O 2 (g) → H 2O(g), ∆H = – 58 Kcal ...(iii)

Sol. From equation (ii)

1

2 O 2

(g) → O(g), ∆H = 60 Kcal.

From equation (iii), H 2

O(g) → H 2

(g) + 1 2 O 2 (g)

∆H = 58 Kcal.

(i) + (ii) – (iii) gives = H 2

(g) + 1 2 O 2 (g) + H 2 O(g) → 2H(g) + O(g) + H 2 (g) + 1 2 O 2 (g)

i.e., H 2

O(g) → 2H(g) + O(g), ∆H = 222 Kcal.

We know that, there are two O—H bonds in a molecule of water, and for breaking of

these two bonds energy requirement is 222 Kcal.

So, for dissociation of one O—H bond energy requirement is 222 ÷ 2 = 111 Kcal.

∴ O—H bond energy is 111 Kcal.

Example 8. Calculate the enthalpy of formation of propane (C 3

H 8

) at 298 K. Given the

standard enthalpies of combustion:

∆H C

°

(C 3

H 8

) = – 2220 kJ mol –1

∆H C

° (C) = – 393 kJ mol –1

∆H C

°

(H 2

) = – 286 kJ mol –1 .

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