Details

The final liquid volume of water is given by:

,

where is the initial liquid volume (L) at 25 °C, is temperature (°C), and , , and are constants.

The total pressure in the container is equal to the saturation pressure of water plus the partial pressures of oxygen and nitrogen :

.

The saturation pressure of water is calculated using the Antoine equation:

,

where , and are Antoine constants.

The partial pressures of oxygen and nitrogen are calculated using the ideal gas law:

,

where is the fraction of oxygen or nitrogen in air where and , is the moles of in the gas phase, is the ideal gas constant ([L bar]/[mol K]) and is the vapor volume (L).

The total moles of oxygen and nitrogen in the container are calculated at 25 °C and 1 bar pressure, the moles in the gas phase are calculated using the ideal gas law, and the moles dissolved in water are calculated using Henry's law:

,

,

where and are Henry's law constants (mol/[L bar]):

,

.

For all and , the moles in the gas phase and dissolved must equal the total moles at 25 °C and 1 bar:

,

.

The screencast video at [1] shows how to use this Demonstration.

Reference

[1] Heating Water and Air in a Sealed Container [Video]. (Aug 31, 2016) www.colorado.edu/learncheme/thermodynamics/HeatingWaterAirSealedContainer.html.