9.9 Conversion of Real Gas Thermometer Scale to Perfect Gas Thermometer Scale or Absolute Thermodynamic Scale
No real gas obeys the equation of state of a perfect gas
But, any real gas approaches the perfect gas in the limit when the pressure of the gas is infinitesimally small. Accordingly to translate the readings of a real gas scale (such as the hydrogen scale), they are to be extrapolated to the limit of vanishingly small pressures. This is done as follows:
For a real gas, we can use the following equation of state:
where the constants A, B, C, …. are functions of temperature.
Taking the constant volume at 0°C equal to vo, Eq. 9.14 for a constant volume thermometer with volume maintained ...
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