An adiabatic process in thermodynamics is defined as one where no heat is transferred within the system. During this process, if a gas expands, its temperature decreases, and if it compresses, its temperature increases. Compared to isothermal processes, adiabatic expansion results in a faster drop in pressure per volume change. The adiabatic gas law relates pressure and volume to heat capacity, which varies with the gas type. A question raised in the discussion pertains to whether the same heat capacity can be used for additional compression after performing a heat exchange to return the gas to its original temperature.