In this problem you will investigate the behavior of a van derWaals fluid near the critical point. It is easiest to work in terms of reduced variables throughout. Still working in the same limit, find an expression for the difference in volume between the gas and liquid phases at the vapor pressure. You should find (Vg -Vi) ex: (Tc -Tl, where (3 is known as a critical exponent. Experiments show that (3 has a universal value of about 1/3, but the van der Waals model predicts a larger value.

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In this problem you will investigate the behavior of a van der
Waals fluid near the critical point. It is easiest to work in terms of reduced variables throughout.

Still working in the same limit, find an expression for the difference in volume between the gas and liquid phases at the vapor pressure. You should find (Vg -Vi) ex: (Tc -Tl, where (3 is known as a critical exponent. Experiments show that (3 has a universal value of about 1/3, but the van der Waals model predicts a larger value.

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