Book edition 1st

Author(s) Daniel V. Schroeder

Pages 356 pages

ISBN 9780201380279

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Short Answer

In the previous section I derived the formula $(\partial F / \partial V)_{T} = - P$ . Explain why this formula makes intuitive sense, by discussing graphs of F vs. V with different slopes.

The equilibrium condition occurs when the slope of a curve of F verses V is equal.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Given

$P = - {(\frac{\partial F}{\partial V})}_{T, N}$

Explanation

From thermodynamics Helmholtz free energy is given by
$P = - {(\frac{\partial F}{\partial V})}_{T, N}$ Here, P is the pressure, F is Helmholtz free energy, V s the volume, T is the temperature and N is the number of molecules.

Write the expression for Helmholtz free energy: F=U-T SWhere, U is the internal energy and S is the entropy of the system.The equilibrium state occurs when the energy of the system is the minimum and when the overall entropy is maximum.For a given number of molecules and given temperature, the increase in the volume yields an increase in the entropy and decrease in the Helmholtz free energy.Draw a graph to show the variation of F with V.Conclusion:So, the equilibrium condition occurs when the slope of a curve of F verses V is equal

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An Introduction to Thermal Physics

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Short Answer

In the previous section I derived the formula $(\partial F / \partial V)_{T} = - P$ . Explain why this formula makes intuitive sense, by discussing graphs of F vs. V with different slopes.

Step by Step Solution

Given

Explanation

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Step by Step Solution

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Explanation

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In the previous section I derived the formula $(\partial F / \partial V)_{T} = - P$ . Explain why this formula makes intuitive sense, by discussing graphs of F vs. V with different slopes.