Internal Energy, U, Specific Internal Energy, u
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The Internal Energy, U, of a system is an extensive thermodynamic property that measures the energy stored in a system as a result of its microscopic structure. The internal energy will include contributions from the thermal, mechanical, electrical, magnetic, chemical, and surface energies of the system. The internal energy per unit mass of the system is the specific internal energy, u.

The internal energy of a system of constant composition can be changed by work or heat interactions with its surroundings. Both of these energy transfer processes are path dependent, however, the internal energy is a function only of the state of the system. The First Law of thermodynamic connects these quantities: du = dq + dw ,   where dn denotes a path dependent quantity change. If the system considered is adiabatic so that no heat transfer occurs: du = dw. This expression shows that the adiabatic work done in taking a system between an initial and a final state is path independent.