Unformatted text preview: What is the % error in your estimate? 5. Calculate, and analyze (picking typical values of a and b ), the isothermal compressibility κ for a van der Waals gas, over some interesting ranges of T and V m . As one of these “interesting ranges of T and V m ”, consider in particular the ideal gas limit, i.e., V m >> b and RTV m >> a . 6. Express the hardtomeasure quantity ( ∂ U V ) T in terms of the easytomeasure β , κ , T and P . 7. Calculate the isothermal compressibility κ for a van der Waals gas, and study its behavior as the critical point ( T c =8a/27Rb , V mc =3b and P c =a/27b 2 ) of the gas is approached. 8. Calculate the JouleThomson coefficient for the van der Waals gas, and study its behavior in interesting limits, e.g., in the ideal gas limit, near the critical point, etc. 9. Express ( U V ) T in terms of the JouleThomson coefficient, μ J − T = ( T P ) H ....
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 Spring '06
 Schwartz
 Thermodynamics, Van der Waals, der Waals gas

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