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Critical Point on Van der Waals Isotherms

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The critical point is the unique point on the original van der Waals isotherms (before the Maxwell construction) where both the first and second derivatives of P with respect to V (at fixed T) are zero. Use this fact to show that:

V_c = 3Nb, P_c = (1/27) (a/b2), kT_c = (8/27) (a/b).

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The critical point is the unique point on the original van der Waals isotherms (before the Maxwell construction) where both the first and second derivatives of P with respect to V (at fixed T) are zero. Use this fact to show that:

Vc = 3nb, Pc = ...

Solution Summary

Word document explains how to show that certain equations hold using properties of van der Waals isotherms.

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