Coexistance Curve Homework: C_(g)-C_(l) = T(delta_vapS)

[subtletuna]

Homework Statement

Consider the liquid-gas coexistence curve. Show that C_{(g)} − C_{(l)} = T(\stackrel{d}{dT} \Delta_{(vap)}S) for T, P along the coexistence curve. Now use the fact that
\Delta(vap)S = \Delta(vap)H/T along the coexistence curve, and the fact that \Delta(vap)H is positive and decreases with increasing T, to show that C(g) < C(l) . Note that this inequality applies only at Tvap.

Homework Equations

The Attempt at a Solution

 

[Gokul43201]

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