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: .
≈ 30 minThe first law of thermodynamics
The first law is conservation of energy for a system: , where is the energy transferred to the system by heating and is the work done on the system. When a gas expands at constant pressure, it does work on its surroundings, so . On a – graph, work is the area under the curve.
≈ 40 min