Tru Physics

Problem 5.16 (Schroeder’s Intro to Thermal Physics)

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Problem 5.16

A formula analogous to that for C_P - C_V relates the isothermal and isentropic compressibilities of a material:

\kappa_T = \kappa_S + \dfrac{TV \beta^2}{C_P}

(Here \kappa_S = -(1/V )(\partial V / \partial P)_S is the reciprocal of the adiabatic bulk modulus considered in Problem 1.39.) Derive this formula. Also check that it is true for an ideal gas.

Solution:

Problem 5.16 (Schroeder's Intro to Thermal Physics) 1 of 2
Problem 5.16 (Schroeder's Intro to Thermal Physics) 2 of 2

Problem 5.16 Solution (Download)

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