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Finally, using the definition of t and Form D of the First Law [I.C.12], we can construct a Conservative Form of the First Law of Thermodynamics, tt + (tv) = 0, [Equation I.C.14] which may replace the adiabatic form of the First Law in our set of principal governing equations.
This law is sometimes taken as the definition of internal energy, and introduces an additional state variable, enthalpy. The first law of thermodynamics allows for many possible states of a system to exist.