Fool wrote: ↑Mon Dec 09, 2024 1:22 am
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Tommy wrote:Your a numbskull.
You're way of base. And childish to boot.
You are using a constant volume model, for claimed adiabatic, with work process. Constant volume processes can only reduce pressure by conduction heat out to a available cold plate. Where are you getting the 150 K to cool it?
In other words how do you plan to reduce the pressure? Something in your description is missing.
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It's in the math. An "idealization". It doesn't require a practical explanation any more than how can a Carnot engine operate.
You have the state of one mole of gas at a certain volume and pressure. The ideal gas law, the math, says it will be 150°K.
You could imagine the mole of gas is compressed inside a glass vessel. The vessel is within our atmosphere at 300°K
Break the vessel. The pressure the instant the glass breaks dropped by 1/2. Before the gas had time to absorb any heat and expand the temperature fell by 1/2 due to the absence of 1/2 the pressure.
That might be one way, But the "process" is irrelevant in an "ideal" mathematical model.
You should be used to that sort of thing. Thermodynamics is replete with 'impossible" mathematical models of cycles and what not.
You're always harping on how "science is mathematics", now you are questioning the math? Shame.
At any rate, take the REAL example of the guy with his new compressor making "snow cones".
By the time the air hits the wall it has, no doubt, already absorbed a lot of heat mixing with the 300°K ambient air.
If it were, instead released into an insulated bag or balloon (adiabatic) it would be much colder.
The same way you can make dry ice.
https://youtu.be/g8hJyR6P-qM
The towel provides some insulation so when the CO2 gas is released from pressure it does not immediately absorb heat.
Under pressure it was a gas at 300°K
Release it from pressure and the temperature drops to -109°F
Why does the CO2 gas condense into a solid rather than "expand forever"? I wonder..