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4-ph-3
Course: WEB 112, Fall 2009School: Cornell
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Solution (A) 4.ph.3 Regions 1, 2, 3, and 4 are labeled on the diagram below. These are the same as the analogous regions on the pressure-volume phase diagram. (B) A line across the liquid-vapor region connects a liquid phase in equilibrium with a vapor phase. Both phases have the same pressure and the same temperature, so the line is horizontal, as shown below. (C) The relationship between temperature and volume...
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Solution
(A) 4.ph.3 Regions 1, 2, 3, and 4 are labeled on the diagram below. These are the same as the analogous regions on the pressure-volume phase diagram. (B) A line across the liquid-vapor region connects a liquid phase in equilibrium with a vapor phase. Both phases have the same pressure and the same temperature, so the line is horizontal, as shown below. (C) The relationship between temperature and volume in the vapor region is PV = nRT. If volume were plotted on a linear scale a constant pressure path would be a straight line with slope P/nR. However, because volume is plotted on a logarithmic scale, must we plot temperature versus log10(volume). PV = nRT P V nR P T = 10 log10 V nR P 2.303(log10 V ) T = e nR T = The constant pressure path rises exponentially, as shown on the phase diagram below.
1.solid C 4. vapor
temperature (linear scale) B
3. liquid + vapor 2. solid + vapor molar volume (log scale) (D) Steps 1-5 are labeled on the phase diagram bel...
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Cornell - WEB - 112
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