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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.
Applying the first law of thermodynamics to an adiabatic process, we obtain: 1  A system that expands under adiabatic conditions does positive work, so the internal energy decreases.y Andrew Zimmerman Jones. Definition: An adiabatic process is a thermodynamic process in which there is no heat transfer (Q) into or out of the system. In other words Q = 0.