In a town on a high plateau the atmospheric pressure is

PHYSICS · Subjective · Fermi University Physics · Thermal, Statistical & Complex Systems · Interacting systems, real gases and phase equilibria · Interacting systems, real gases and phase equilibria

Thermal Physics, Ch Phase coexistence and the Clausius-Clapeyron relation

Problem

In a town on a high plateau the atmospheric pressure is 79.5 kPa79.5\,\mathrm{kPa}. Water boils at 373.15 K373.15\,\mathrm{K} under 101.3 kPa101.3\,\mathrm{kPa}, and its molar latent heat of vaporisation is L=40.7 kJ mol−1L = 40.7\,\mathrm{kJ\,mol^{-1}}, taken as constant over the range in question. Treat the vapour as an ideal gas and neglect the molar volume of the liquid beside that of the vapour, so that the integrated vapour-pressure curve ln⁡p=const−L/RT\ln p = \text{const} - L/RT may be used, with R=8.314 J mol−1 K−1R = 8.314\,\mathrm{J\,mol^{-1}\,K^{-1}}. Find the boiling point of water in that town.

Browse the problem library