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If enthalpies of formation of C2H4( g),CO2( g) and H2O(l) at 25∘C and 1 atm pressure are 52,394 and −286 kJ/mol respectively, the change in enthalpy for combustion of C2H4 is equal to

Question

If enthalpies of formation of C2H4( g),CO2( g) and H2O(l) at 25∘C and 1 atm pressure are 52,394 and −286 kJ/mol respectively, the change in enthalpy for combustion of C2H4 is equal to

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Solution

The combustion reaction of ethylene (C2H4) can be written as follows:

C2H4(g) + 3O2(g) → 2CO2(g) + 2H2O(l)

The change in enthalpy (ΔH) for this reaction can be calculated using Hess's law, which states that the change in enthalpy for a reaction is equal to the sum of the enthalpies of formation of the products minus the sum of the enthalpies of formation of the reactants.

The enthalpy of formation (ΔHf) of a substance is the change in enthalpy that accompanies the formation of 1 mole of that substance from its elements in their standard states.

So, the change in enthalpy for the combustion of C2H4 is:

ΔH = [2ΔHf(CO2) + 2ΔHf(H2O)] - ΔHf(C2H4)

Substituting the given values:

ΔH = [2(-394 kJ/mol) + 2(-286 kJ/mol)] - 52 kJ/mol

ΔH = [-788 kJ/mol - 572 kJ/mol] - 52 kJ/mol

ΔH = -1412 kJ/mol - 52 kJ/mol

ΔH = -1464 kJ/mol

So, the change in enthalpy for the combustion of C2H4 is -1464 kJ/mol.

This problem has been solved

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