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The heat of combustion per mole for acetylene, C 2 H 2 ( g ), is -1299.5 kJ/mol.

ID: 517540 • Letter: T

Question

The heat of combustion per mole for acetylene, C2H2(g), is -1299.5 kJ/mol. Assuming that the combustion products are CO2(g) and H2O(l), and given that the enthalpy of formation is -393.5 kJ/mol for CO2(g) and -285.8 kJ/mol for H2O(l), find the enthalpy of formation of C2H2(g).

The heat of combustion per mole for acetylene, C2H2(g), is -1299.5 kJ/mol. Assuming that the combustion products are CO2(g) and H2O(l), and given that the enthalpy of formation is -393.5 kJ/mol for CO2(g) and -285.8 kJ/mol for H2O(l), find the enthalpy of formation of C2H2(g).

-846.1 kJ/mol -226.7 kJ/mol +226.7 kJ/mol -620.2 kJ/mol

Explanation / Answer

The reaction taking place is:

2C2H2 (g) + 5O2 (g) —> 4CO2 (g) + 2H2O (l)

In balanced reaction there are 2 mol of C2H2

so,

Ho rxn = 2*(-1299.5) = -2599 KJ

Use:

Ho rxn = 4*Hof(CO2(g)) + 2*Hof(H2O(l)) - 2*Hof( C2H2(g)) - 5*Hof(O2(g))

-2599 = 4*-393.5 + 2*-285.8 - 2*Hof( C2H2(g)) - 5*0.0

2*Hof( C2H2(g)) = 453.4

Hof( C2H2(g)) = 226.7 KJ/mol

Answer: + 226.7 KJ/mol