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Vapors have a higher enthalpy than liquids because once the temperature of the system, in a water model, hits 100 degrees celsius there is more heat that is required to change the water from a liquid state to a gaseous state. This is compared to when water is at a solid ice state and needs less heat to change it into liquid water state.
In the heating curve graph that Lavelle showed in class, the amount of energy needed for melting is much lower than the energy required for vaporization. This means that heat is absorbed in order to go from a liquid to a vapor, so the vapor would have a higher enthalpy.
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