This problem concerns a compound that can be modeled, in both the liquid and the vapor phase, by the following equation of state: Z=1+(aT^0.5)/?V+b/?V^2 Where a= -0.09 LK-0.5mol-1 and b = 0.5 L2mol-2. The table below gives the three possible molar volumes resulting from this equation at two different pressures and a temperature of 300K.
In the solid phase this compound has a molar volume of 0.35 L/mol and a fugacity f =2 atm at P = 1 atm and T = 300 K.
A) Derive algebraic expressions for the liquid and vapor fugacities of this compound (f^Land f^V) as a function of temperature, pressure, volume, and/or known constants.
B) Is this compound a solid, liquid or vapor at P=1 atm and T=300 K? Give calculations to demonstrate your answer.
C) Is this compound a solid, liquid or vapor at P=4 atm and T=300 K? Give calculations to demonstrate your answer.
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