The calculation of irreversible thermodynamic work is examined in terms of the presentation in textbooks and in the application to actual and conceptual experiments. The force operating across the boundary between system and surroundings is shown to be dependent on the velocity of the operation. An approximate correction for the effect of velocity on the operating pressure for a perfect gas is suggested as
Poperating = Pgas(1 ± u/vx)2; vx2 = RT/M
where u is the absolute value of the velocity of the piston, vx is the average velocity of the gas molecules moving toward the piston, and M is the molar mass of the gas. The positive sign applies to compressions and the negative sign to expansions.
Supplement
Additional equations for lifting and lowering masses and for calculations on the experiment of Desormes and Clement are available.
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