# Heat and Thermodynamics

Instructor : Dr Abdul Hameed Nayyar
Term : Spring 2012
 Week Lectures Tentative Topics Recitations HWs Exams 1 1-2 Introduction to thermodynamics, thermodynamics as a macroscopic view of the world. Calorimetry, Gas laws, Equation of state: ideal gas equation and real gas equation, Kinetic theory of gases Recitation 1 Solution HW 1 Solution 2 3–4 Work, First law of thermodynamics and its applications, Heat capacity Recitation 2 Solution HW2 Solution 3 5–6 Engines, working cycle, engine efficiencies, Carnot engine, the second law of thermodynamics Recitation 3 Solution 3 Midterm Exam 1 Solution 4 7–8 The second law of thermodynamics and entropy : (a) Reversible and irreversible processes (with examples) (b) Clausius theorem Recitation 4 Solution HW 3 Solution 5 9–10 Entropy and disorder, probability and loss of information, shanon’s entropy, boltzmann H theorem Recitation 5 Solution HW 4 Solution 6 11–12 Thermodynamic variables (extensive and intensive), fundamental equation, legendre transformation Recitation 6 Solution HW 5 Solution 7 13–14 Maxwell relations, response functions, Practice questions Recitation 7 Solution 7 Midterm Exam 2 Solution 8 15 Reviewof response functions, Equilibrium states:(i)Thermal equilibrium (ii) Chemical equilibrium (iii) Mechanical equilibrium 9 Midterm break 10 16 Euler equation, Gibbs-Duhem relation, integrating differential forms of thermodynamic parameters Recitation 8 Solution 11 17-18 Cooling techniques : (i) Free expansion (ii) Joule-Thomson effect (Throttling) and Joule-Thomson coefficient (iii) Vapour-compression cycle, the third law of thermodynamics, cooling by adiabatic demagnetization, chemical thermodynamics Recitation 9 Solution HW 6 Solution 12 19–20 Example of entropy change in chemical reactions : Burning of ethane gas, phases and phase transitions ; stability criteria and its physical consequences, indirect processes (Le Chatelier-Braun principle Recitation 10 Solution 12 Midterm Exam 3 Solution 13 21–22 Ehrenfest classification, the Clausius-Clapeyron equation, examples of the uses of latent heat ; evaporation cooling, heating through condensation. Fractional composition of phases Recitation 11 Solution HW 7 Solution 14 23–24 Van der Waals equation of state; derivation of critical temperature, pressure and volume. Osmosis, osmotic pressure Recitation 12 Solution 15 25–26 Elements of statistical thermodynamics, ergodic hypothesis, canonical systems; partition function, examples (i) single harmonic oscillator (ii) spin 1/2 paramagnet. Typology of statistical systems HW 8 Solution 17 Final Exam Solution