This problem concerns a compound for which the following data is available:
Critical Temperature = 1200 K
Critical Pressure = 30 bar
Enthalpy of Vaporization at atmospheric pressure = 5000 J/mol.
Boiling point at one bar of pressure = 500 K
Acentric factor = 0.6
Equation of state for gas/vaporphase: Z = 1 + bP2/T where b = 1 K/bar2
Approximate molar volume of liquid = 200 cm3/mol
A) Use the Claussius-Clapeyron Equation to estimate the vapor pressure at T=550 K.
B) Use the shortcut equation to estimate the vapor pressure at T=550 K.
C) Indicate which of the two estimates generated in questions A and B is more reliable, and EXPLAIN WHY.
D) Find a general expression for the fugacity for this compound in the vapor/gas phase, as a function of temperature and pressure. For full credit, the equation should be an algebraic equation (not a differential equation) and should contain only P, T, f and constants.
E) Give your best estimates of the liquid phase fugacity and the vapor phase fugacity for this compound, each at T=550 K and P=20 bar.
C)
The shortcut equation is only considered valid for calculations involving a reduced temperature within the range: 0.5
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