VincentG wrote: ↑Mon May 20, 2024 11:55 am
If the starting pressure at 300k and 100cc was 1atm + the added pressure of the 102g piston, it would be a basic pv=nrt calc.
But if the temperature of 100cc at 300k and just 14.7psi is doubled to 600k, any additional weight will no longer allow expansion to 200cc. The only way to continue expansion to 200cc with the load of the 102g piston would be to increase gas temperature beyond 600k.
That is no longer a case of just adding "Joules". Yes, Joules must be added, but Tmax needs to rise above 600k, rendering the exercise invalid from the start.
Which leads back to my original question of how to prove that heat is destroyed when work is done.
I'm not sure what you two are discussing, so I might be off base here.
If one Joule is added to rase a mass 1 meter and the temperature of the gas remains at 600 K, the volume must change proportionally.
Heat can't be destroyed. It is a quantity of energy transfered from one body containing internal energy measured by temperature to another body containing internal energy at a lower temperature. Internal energy reduces as energy leaves one body and is absorbed by another body. That is called thermal energy transfer. There is no "heat" to destroy.
Internal energy manifests itself in a volume of gas by T•Cv•M.
Engines run by increasing and decreasing internal energy by flow in and out of heat. If less heat flows out than flows in, the engine can do positive work, or store energy. It is misleading to think of heat as a substance. There is no magic quantity of transferring heat. Like there is no magic quantity of transferring work.
Adiabatic processes flow zero heat. As the heat flows it becomes internal energy. Starts as internal energy moves into and staying as internal energy, potentially internal energy is output as work through P•∆V.
A bicycle pump will demonstrate force times distance converted into temperature rise, internal energy rise, and heat transferred from the internal hot air to the cold pump body. That temperature rise and heat loss is detrimental to pumping up a tire. Known also as irreversible entropy gain.
I used to think heat was hot, but that is wrong, colloquial. Hot is internal energy. Heat is just how the energy got there. And something must be hotter to make something else hotter but never as hot. At the same note heat from a hot flame can be added to a large mass, such as an anvil with negligible temperature rise of the anvil, if the duration is short enough. The same with gas in an engine, if there is a matching expansion.