Further Applications of the ideal Gas Law

The ideal gas law can be recast in additional ways to determine other properties of gases. In this section, we use it to find gas density, molar mass, and the partial pressure of each gas in a mixture. 

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Further, in regions well below the critical point, the vapor pressure is relatively small, so that the ideal gas law may be assumed to be applicable, i.e., pVv = RT, where Vv is the molar volume of the vapor and p is its pressure at the temperature T. Substituting RT/p for Vv in equation (27.11), this becomes... 

This result is comforting in that the direct application of Boltzmann averaging process produces the same result as our previous phenomenological derivation from the ideal gas law. Further, we could... 

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