Show that (()),- OT RT H RT2
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![### Thermodynamics Derivation
To show the following thermodynamic relation:
\[
\left( \frac{\partial}{\partial T} \left( \frac{G}{RT} \right) \right)_P = - \frac{H}{RT^2}
\]
we will need to delve into a few thermodynamic concepts and manipulations.
Here, \(G\) represents the Gibbs free energy, \(H\) represents the enthalpy, \(R\) is the universal gas constant, \(T\) is the temperature, and \( \frac{\partial}{\partial T} \) indicates a partial derivative with respect to temperature at constant pressure \(P\).
The objective is to derive the equation starting from the fundamental thermodynamic equations and properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e36a6f6-5c57-4c3e-b4bb-5bd0d2f1f6a7%2F2bee8cc6-c8fd-48e5-ac74-c3132c20954c%2F6oavlda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Thermodynamics Derivation
To show the following thermodynamic relation:
\[
\left( \frac{\partial}{\partial T} \left( \frac{G}{RT} \right) \right)_P = - \frac{H}{RT^2}
\]
we will need to delve into a few thermodynamic concepts and manipulations.
Here, \(G\) represents the Gibbs free energy, \(H\) represents the enthalpy, \(R\) is the universal gas constant, \(T\) is the temperature, and \( \frac{\partial}{\partial T} \) indicates a partial derivative with respect to temperature at constant pressure \(P\).
The objective is to derive the equation starting from the fundamental thermodynamic equations and properties.
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