Salam Academy
Paper 4 · Module

Thermodynamics

2 subtopics≈ 70 min in total
  1. Internal energy

    The internal energy of a system is the sum of the random kinetic and potential energies of its molecules. It depends only on the state of the system (its temperature, volume, phase), not on how it got there. A rise in temperature means more random kinetic energy. During a change of state the potential energy changes while the temperature stays constant. For an ideal gas there are no intermolecular forces, so internal energy is all kinetic: U=32NkTU=\tfrac32NkT.

    ≈ 30 min
  2. The first law of thermodynamics

    The first law is conservation of energy for a system: ΔU=q+W\Delta U=q+W, where qq is the energy transferred to the system by heating and WW is the work done on the system. When a gas expands at constant pressure, it does work pΔVp\Delta V on its surroundings, so W=−pΔVW=-p\Delta V. On a pp–VV graph, work is the area under the curve.

    ≈ 40 min