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How much energy is released when 6 moles of octane is burnt in air?

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How much energy is released when 6 moles of octane is burnt in air?

Given ΔH°f for CO2 (g), H2O (g) and C8H18 (l) respectively are -490, -240 and +160 J/mol.

(a) - 6.2 kJ

(b) - 37.4 kJ

(c) - 35.5 kJ

(d) - 20.0 kJ

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(c) - 35.5 kJ

Explanation:

C + O2 = CO2 ΔH = -490 kJ/mol  (i)

H2 + 1/2O2 = H2O ΔH = -240 kJ/mol  (ii)

8C + 9H2 = C8H18 ΔH = +160 kJ/mol   (iii)

2C8H18 + 25O2 = 16CO2 + 18H2O

The required reaction can be obtained by 2 × (iii) – 16 (i) – 18(ii)

16C + 18H2 - 16C - 16O2 - 18H2 - 9O2

= 2C8H18 + 16CO2 - 18H2O

or -25O2 = 2C8H18 - 16CO2 - 18H2O

2C8H18 + 25O2 = 16CO2 + 18H2O

[ΔH = 2 x 160 - 16 x -490 - 18 x -240]

ΔH = – 11840 J = – 11.840 kJ for 2 moles of octane. Energy released for 6 moles of octane

= –11.840 × 3

= –35.5 kJ

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