# Prove that the mean heat capacities C P H and C P S are inherently positive, whether T

## Question:

Prove that the mean heat capacities ⟨C_{P}⟩_{H} and ⟨C_{P}⟩_{S} are inherently positive, whether T > T_{0} or T < T_{0}. Explain why they are well defined for T = T_{0}.

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**Related Book For**

## Introduction To Chemical Engineering Thermodynamics

**ISBN:** 9781259696527

8th Edition

**Authors:** J.M. Smith, Hendrick Van Ness, Michael Abbott, Mark Swihart

**Question Details**

Chapter #

**5**Section: Problems

Problem: 24

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