All Problems

Phase Transformations

Problem 2.210

Find the pressure of saturated vapour as a function of temperature \(p(T)\) if at a temperature \(T_{0}\) its pressure equals \(p_{0}\). Assume that: the specific latent heat of vaporization \(q\) is independent of \(T,\) the specific volume of liquid is negligible as compared to that of vapour, saturated vapour obeys the equation of state for an ideal gas. Investigate under what conditions these assumptions are permissible.

Reveal Answer
p=p0exp⁡[qMR(1T0−1T)]. These assumptions are admissible in the case of a vapour narrow temperature interval, far below the critical temperature. p=p_{0} \exp \left[\frac{q M}{R}\left(\frac{1}{T_{0}}-\frac{1}{T}\right)\right] . \text { These assumptions are admissible in the case of a vapour narrow temperature interval, far below the critical temperature. }
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