Understanding Enthalpy Change in Cooled, Moist Air

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Hot air possesses a higher enthalpy value than cold air, and introducing moisture can influence this enthalpy. When air is cooled while adding water, the enthalpy can remain constant depending on the amount of moisture present, specifically its partial pressure. The specific heat capacities of nitrogen, oxygen, and water indicate that water has a significantly higher capacity, which affects the overall enthalpy of the mixture. The temperature of the water also plays a crucial role in determining the final enthalpy of the air-water system. Thus, the interaction between temperature and moisture content is essential in understanding air enthalpy dynamics.
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Genrerally it's so that hot air has larger enthalpy value than cold air. But is it also so that if you cool air and add water to it at the same time, the enthalpy will stay the same? How will the temp of the water affect the situation?
 
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Using the following references:
1) http://en.wikipedia.org/wiki/Specific_heat_capacity#Table_of_specific_heat_capacities for specific heat capacities of N2 and O2
2) http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/shegas.html
3) http://en.wikipedia.org/wiki/Water_vapor for eat capacity of H2O

I found, specific heat capacities as follows:

N2, 1.04 kJ/kg-K
O2, 0.92 kJ/kg-K
H2O, 1.84 kJ/kg-K

Dry air, 1.005 kJ/kg-K
Moist (100% humid) air, 1.03 kJ/kg-K

Water is polyatomic and so has three axes of rotation, and therefore higher specific heat (ref 2), approximately twice that of oxygen.

So since water has higher specific heat, adding a little moisture to air would increase the enthalpy, or maintain constant ethalpy if the temperature decreased somewhat. This however depends on the amount, or rather, partial pressure (mole fraction) of the moisture.
 
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