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5.19

Expert-verifiedFound in: Page 163

Book edition
1st

Author(s)
Daniel V. Schroeder

Pages
356 pages

ISBN
9780201380279

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.

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

From thermodynamics Helmholtz free energy is given by

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