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 hard-to-measure quantity ( ∂ U V ) T in terms of the easy-to-measure 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 Joule-Thomson 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 Joule-Thomson coefficient, μ J − T = ( T P ) H ....
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- Spring '06
- Thermodynamics, Van der Waals, der Waals gas