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Examples
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Mollier diagrams are graphical representations of the thermodynamic properties of materials involving "Enthalpy" as one of the coordinates.
Citizendium, the Citizens' Compendium - Recent changes [en] Henry A. Padleckas 2009
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The physical sciences already can calculate this via the psychrometric chart with Enthalpy and grains of water.
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The higher the ambient temperature, the less linear the relationship between temperature and Enthalpy.
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Please note the psychrometric chart that temperature and Enthalpy are not proportional!
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That means a 5F increase in temperature made a 1.5 Btu/# increase in Enthalpy.
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The total energy of the air is not simply the degree you read off the thermometer, it is the Enthalpy in Btu/# which includes the latent heat along with sensible heat.
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If the grains are the same, then and only then could you reasonably infer the amount of UHI effect in Enthalpy.
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Sensible heat as measured by the thermometer and latent heat as measured by humidity, the psychrometric chart then tells you the total heat in Enthalpy and the total amount of water in the air.
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So in order to reverse engineer out the UHI effect, you must determine the excess amount of temperature, then go to the psychrometric chart, follow the grains of water line from the old temperature to the new temperature which then tells you the proper Enthalpy or total heat.
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Enthalpy of combustion (HHV) is the difference between the reactants enthalpy value minus the combustion products enthalpy value at the standard reference temperature, which is 298
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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