HUNTERTUTORING

Thermodynamics

Undergraduate · Physics

Syllabus focus

Topics typically covered

Standard syllabus

Fundamentals and first law

  • Temperature, heat, and work; state variables
  • Equations of state for ideal and real gases
  • First law for closed and open systems
  • Enthalpy and specific heats
  • Reversible and irreversible processes

Second law and entropy

  • Heat engines, refrigerators, and Carnot cycle
  • Entropy as a state function
  • Clausius inequality and entropy production
  • Thermodynamic potentials: Gibbs and Helmholtz
  • Maxwell relations and Jacobian methods (intro)

Phase transitions and mixtures

  • Phase diagrams and Clausius–Clapeyron equation
  • Chemical potential and Gibbs phase rule
  • Ideal and non-ideal solutions
  • Osmotic pressure and colligative properties
  • Critical phenomena overview

STEM / applied

Power and chemical engineering

  • Rankine and Brayton cycle analysis
  • Efficiency limits and exergy concepts
  • Combustion enthalpies and reaction heat
  • Heat exchanger design parameters
  • Refrigeration and HVAC system modeling

Materials and environmental

  • Latent heat in metallurgical phase changes
  • Climate thermodynamics and heat engines metaphor
  • Battery thermodynamics and safety margins
  • Cryogenics and liquefaction cycles
  • Thermodynamic databases for alloys

Laboratory and data analysis

  • Calorimetry and heat capacity measurement
  • P–V diagram tracing for real cycles
  • Error analysis on efficiency calculations
  • Software for steam tables and property lookup
  • Connecting macroscopic laws to kinetic theory preview

Study units

Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.

  • Fundamentals and first law

    Temperature, heat, and work; state variables

    Coming soon
  • Second law and entropy

    Heat engines, refrigerators, and Carnot cycle

    Coming soon
  • Phase transitions and mixtures

    Phase diagrams and Clausius–Clapeyron equation

    Coming soon

Notes

Topics reflect common upper-division physics syllabi at US colleges and universities. Prerequisites, lab pairing, and mathematical depth vary by department.