Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 7.3-2

STABILITY OF THERMODYNAMIC SYSTEMS

Physics — Statistical Mechanics · specific-heat-relation-derivation

Problem

Show that the second equation in the preceding problem leads directly to the relation T(∂s∂T)v=cp−Tvα(∂P∂T)vT\left(\frac{\partial s}{\partial T}\right)_v = c_p - Tv\alpha\left(\frac{\partial P}{\partial T}\right)_v and so validates equation 7.36.

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