HW5 - results to the data given below. Below is the...

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Chemistry 252 Homework 5, Due Wed. March 18 1. The molar Gibbs potential of a certain gas is G = RT ln P + A + BP + CP 2 2 + DP 3 3 where A, B, C , and D are constants. Find the equation of state of the gas (i.e. relationship between V, P , and T ). 2. An experimentalist finds that a certain gas obeys the following relationships: U = f ( T ), PV = g ( T ) . Where f and g are some functions of temperature T only. What are the heat capacities of this gas c p and c v ? 3 . Consider a water-ice system. Write the Clausius-Clapeyron equation for the dependence of the freezing temperature on pressure. Assume that the heat of melting and densities of ice and water do not depend significantly on temperature or pressure. Solve this equation and plot T(P) in the range of pressures from 1 to 1000 bar. Compare your
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Unformatted text preview: results to the data given below. Below is the relevant data taken from CRC Handbook on Chemistry and Physics: Enthalpy of fusion: H = 6.01 KJ/mol; Density of water: 0.9999 g/cm 3 Density of ice: 0.917 g/cm 3 Melting point of ice as a function of pressure: P (bar) T ( C) 1.0 0.00 10.0-0.06 100-0.74 500-4.02 1000-8.80 4. A traveler to Quito, the capital of Equador, may find that it takes longer to cook in boiling water. The altitude of Quito is 2,850 m. A table gives me a typical barometric pressure at this altitude to be 0.71 bar (instead of 1.01 bar at the sea level). Estimate the boiling temperature of water at this pressure. The vaporization enthalpy of water is 40.6 kJ/mol....
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