On the - diagram of water the triple point is at and and the critical point at and

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

On the

p

T

diagram of water the triple point is at

273.16\,\mathrm{K}

and

612\,\mathrm{Pa}

and the critical point at

647\,\mathrm{K}

and

22.1\,\mathrm{MPa}

. At the pressure

400\,\mathrm{Pa}

the solid-vapour (sublimation) line is crossed at

268\,\mathrm{K}

. At the pressure

101.3\,\mathrm{kPa}

the melting line is crossed at

273.15\,\mathrm{K}

and the liquid-vapour line at

373.15\,\mathrm{K}

. A sample of ice is warmed slowly, the pressure being held fixed throughout, so that the sample stays in equilibrium at every stage. How many phase boundaries does the sample cross in each case? ((a)) Warmed from

200\,\mathrm{K}

400\,\mathrm{K}

at a fixed pressure of

400\,\mathrm{Pa}

. ((b)) Warmed from

250\,\mathrm{K}

400\,\mathrm{K}

at a fixed pressure of

101.3\,\mathrm{kPa}

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