Tru Physics

Problem 5.48 (Schroeder’s Intro to Thermal Physics)

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Problem 5.48

As you can see from Figure 5.20, the critical point is the unique point on the original van der Walls 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 = \dfrac{1}{27} \dfrac{a}{b^2}, and kT_c = \dfrac{8}{27} \dfrac{a}{b}

Solution:

Problem 5.48 (Schroeder's Intro to Thermal Physics) 1 of 2
Problem 5.48 (Schroeder's Intro to Thermal Physics) 2 of 2

Problem 5.48 Solution (Download)

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