A mountain hut stands where the barometric pressure is

PHYSICS · Multi-part · 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

84.0\,\mathrm{kPa}

. On a winter morning the air outside the hut is at

6\,{}^\circ\mathrm{C}

; the same hut in summer has outside air at

22\,{}^\circ\mathrm{C}

, with the same barometric pressure. Water is boiled in an open pan. Take the vapour-pressure curve integrated with a constant latent heat of vaporisation

L = 40.7\,\mathrm{kJ\,mol^{-1}}

, anchored on the sea-level point

101.3\,\mathrm{kPa}

373.15\,\mathrm{K}

. The vapour is treated as an ideal gas and the molar volume of the liquid is neglected beside that of the vapour. Use

R = 8.314\,\mathrm{J\,mol^{-1}\,K^{-1}}

and

0\,{}^\circ\mathrm{C} = 273.15\,\mathrm{K}

. ((a)) Find the temperature at which the water boils on the winter morning. ((b)) Find the temperature at which it boils on the summer day.

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