This work aimed to present an exact formulation of the psychrometer constant based on thermodynamics reasoning, rather than the usual empirical approach. Such a thermodynamic psychrometer constant sets a common ground for expected values independently of the type of construction and operating conditions of a psychrometer. The assumption that one is dealing with a perfect gas mixture conveys the exact solution to a simpler expression for the thermodynamic psychrometer constant with a relative deviation within -2% for a thermodynamic wet-bulb temperature less than 60 °C and standard pressure, which suffices for field applications. It has also been found that the thermodynamic psychrometer constant is strongly dependent on the thermodynamic wet-bulb temperature, weakly dependent on the dry-bulb temperature and pressure dependent too. The formulation is compared with experimental data and reproduces very closely the results for an adiabatic saturation psychrometer. Experimental data on constants of several psychrometer types tend to scatter around the exact solution, except for the World Meteorological Organization psychrometer, which gives consistently lower values than the ones from the present formulation. In addition, an analysis of the error introduced when one mistakes the temperature reading of a regular psychrometer for the thermodynamic property is carried out. A typical difference between these two temperatures is around ±0.4 °C for air at room temperature. Finally, speculations regarding means of improving psychrometer design in order to obtain the thermodynamic wet-bulb temperature directly from the instrument are presented.
Keywords: psychrometry, psychrometer, moist air, humidity, wet-bulb temperature