Her experiment used closed cylinders...the increased heat was due to the heat of compression...had she vented the cylinders, the temperature would have been the same for both cylinders...she acknowledges that pressure is the major player in her experiment...
This topic was covered before. In Foote's experiment there was no heat of compression. That term refers to an adiabatic process where a gas gets warmer if there is an outside mechanical compressing force that quickly lower's it's volume. Think of a downward stroke of a piston heating a gas. Her experiment definitely was not adiabatic and there definitely was no quick change in volume.
Again there was no heat of compression. You have no reason to say the temperature would be the same with venting.
More mathematically, the ideal gas law is PV = nRT.
In Foote's experiment n and V are constant, when internal heat rises because of external thermal energy input. P rises because the other parameters are constant.
If the experiment were vented, V and P are constant. A rise in T must mean n (the number of molecules in the cylinder) must diminish. Venting would change the number of molecules in each side by side test container, and control container. Apples and oranges.
An experiment with venting was more recently done which showed that air with CO2 does get warmer than a control
Just picking physics words out of the air and making a sentence with them does not make your case.
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