Ethylene oxide (EO) is prepared by the vapor-phase oxidation of ethylene. Its main uses are in the preparation of the antifreeze ethylene glycol and in the production of poly(ethylene terephthalate), which is used to make beverage bottles and fibers. Pure EO vapor can decompose explosively. ΔH°rxn for the gas-phase reaction is -133.0kJ/mol.
Now,
EO(l) → EO(g)
ΔH°vaporization = 569.4J/g(44.05g/mol)(1kJ/1J) = 25.08kJ/mol
Now,
ΔH°vaporization = { ΔH°f ( EO(g))} - {ΔH°f ( EO(l))}
25.08kJ/mol ={ ΔH°f ( EO(g))} - { (1mol)(-77.4kJ/mol)}
ΔH°fEO(g) = -52.32kJ/mol
Now,
EO(g) → CH₄(g) + CO(g)
ΔH°rxn = [ΔH°f{CH₄(g)}] + [ΔH°f[CO(g)}] - [ ΔH°f{EO(g)}]
= -74.87-110.5 +52.32
ΔH°rxn= -133.0kJ/mol
Thus, from the above conclusion we can say that, ΔH°rxn for the gas-phase reaction is -133.0kJ/mol.
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