"and related to the mass fraction of the dry air" seems vague to me.  I 
understand that the enthalpy of air will depend on the relative amounts of 
various constituents (e.g., N2, O2, and trace species), which would often be 
assumed to be fixed, and that it also depends on the water vapor amount, which 
would normally not be considered fixed.  Is the definition saying that only the 
enthalpy of dry air is being considered, or is this the enthalpy of the 
mixture.  Perhaps the following would be clearer:
definition: the enthalpy of air per unit mass, which can often be approximated 
by a mass-weighted mean of the enthalpies of dry air and of the water vapor in 
the air.
Please check that this statement is actually correct, as I have written it down 
from memory.

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