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9.4 The First Law of Thermodynamics

Part of Thermodynamics in AP® Physics 2: Algebra-Based. Read the opening section, then create a free account for the full interactive lesson, practice, and progress tracking.

Internal Energy

A gas’s internal energy can be seen as its total energy. Internal energy is a sum of the potential energy and kinetic energy in the gas. However, potential energy is defined as energy associated with conservative forces, such as gravity or electromagnetic forces. In ideal gases, the particles do not interact with each other with any forces, meaning ideal gasses have no potential energy. Now, we can see that the total internal energy of an ideal gas is just the sum of all of the kinetic energies of the individual particles in the gas.

U=32NkBTU = \frac{3}{2}Nk_BT
  • U{U} is the internal energy of the gas
  • N{N} is the number of particles in the gas
  • kB{k_B} is Boltzmann’s constant
  • T{T} is the temperature of the gas

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