An Overview of Thermodynamics-II

P.K. Ahluwalia

Learning Outcomes:

After studying this module, you shall be able to:

Describe evolution of thermodynamic potentials, which are most important thermo physical entities to know the equilibrium state of the systemApply mathematical apparatus of
Legendre transformations, partial differentiations and Jacobian determinant to derive various thermodynamic relations.
Define repeatedly encountered measurable physical quantities like heat capacity at constant volume and pressure, isothermal and adiabatic compressibility, co-efficient of thermal expansion and susceptibility.
Starting from various thermodynamic potentials derive generic equations of state.
Derive famous Maxwell’s relations to link non-measurable thermodynamic quantities like entropy with measurable thermodynamic quantities like temperature, pressure and volume.
Describe the important extremum principles of entropy, internal energy and thermodynamic potentials to characterize equilibrium state of a system.
Interpret concavity principle of entropy and convexity principle of internal energy geometrically and see their physical significance.
Derive stability criterion for a system in equilibrium and use these criterion to arrive at system independent results that heat capacity at constant volume and constant pressure, adiabatic and isothermal compressibility are always greater than or equal to zero.
Prove using stability criterion that C_P > C_Vor C_P = C_V

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References:-

_{1. Pal P.B., “An Introductory Course of Statistical Mechanics”, New Delhi: Narosa Publishing House Pvt. Ltd., 2008.}
_{2. Matveev A.N., “ Statistical Physics,” Moscow: Mir Publishers, 1985.}
_{3. Rao Y.V.C., “ Postitutional and Statistical Thermodynamics,” New Delhi: Allied Publishers, 1994.}
_{4. Fermi E., “ Notes on Thermodynamics and Statistics,” Chicago: The University of Chicago Press, Phonix edition, 1966.}
_{5. Panat P.V., “Thermodynamics and Statistical Mechanics,” New Delhi: Narosa Publishing House Pvt. Ltd., 2008}
_{6. Greiner W., Neise L., Stocker H., “ Thermodynamics and Statistical Mechanics,” New York, Springer Verlag, 1995.}
_{7. Dittman R.H., Zemansky M.W., “ Heat and Thermodynamics,” New Delhi, Tata McGrawHill Publishing Company Limited, Seventh Edition, 2007.}