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thermodynamic equation of state:

thermodynamic equation of state:

Introduction to Chemical Engineering Thermodynamics
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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**Question 5** We have derived the thermodynamic equation of state: \[ \left( \frac{\partial H}{\partial p} \right)_T = V - T \left( \frac{\partial V}{\partial T} \right)_p \] and we showed that for an ideal gas this becomes zero: \[ \left( \frac{\partial H}{\partial p} \right)_T = 0 \] Please go over this part before working on the following question. Suppose a gas is not ideal but has repulsive interactions (no attractive force), so the gas law is given by: \[ p(V-nb) = nRT \] Find \[ \left( \frac{\partial H}{\partial p} \right)_T = ? \] Please enter an equation in terms of \( p, V, T, n, b \). [Answer Box]
Transcribed Image Text:**Question 5** We have derived the thermodynamic equation of state: \[ \left( \frac{\partial H}{\partial p} \right)_T = V - T \left( \frac{\partial V}{\partial T} \right)_p \] and we showed that for an ideal gas this becomes zero: \[ \left( \frac{\partial H}{\partial p} \right)_T = 0 \] Please go over this part before working on the following question. Suppose a gas is not ideal but has repulsive interactions (no attractive force), so the gas law is given by: \[ p(V-nb) = nRT \] Find \[ \left( \frac{\partial H}{\partial p} \right)_T = ? \] Please enter an equation in terms of \( p, V, T, n, b \). [Answer Box]
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