Thermodynamics cycle with liquid and gas

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SUMMARY

The discussion centers on the feasibility of a thermodynamic cycle involving the transformation of gases into a liquid, specifically using butane and propane. The primary issue identified is the inability of gas to transition into a liquid state without violating the second law of thermodynamics, particularly in an insulated system. The conversation highlights the necessity of a heat sink for cooling the gas mixture to achieve liquefaction and emphasizes the importance of understanding energy conservation in thermodynamic processes.

PREREQUISITES
  • Understanding of the second law of thermodynamics
  • Familiarity with thermodynamic cycles and processes
  • Knowledge of phase transitions between gas and liquid states
  • Basic principles of energy conservation in thermodynamics
NEXT STEPS
  • Study the principles of the Stirling engine and its thermodynamic cycle
  • Research phase diagrams for butane and propane to understand liquefaction conditions
  • Learn about heat sinks and their role in thermodynamic systems
  • Explore thermodynamic textbooks for in-depth knowledge of energy conservation and heat transfer
USEFUL FOR

Students and professionals in mechanical engineering, thermodynamics researchers, and anyone interested in understanding the complexities of gas-to-liquid phase transitions and thermodynamic cycles.

Gh778
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I'm trying to find why this thermodynamics cycle is not possible but I don't find. The only problem for me is at step 3, the gas can't become a liquid but why ?
 

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nobody for help me ?
 
What about the heating of the cylinder at step 2? Maybe that's where the Energy comes from. If it does than you will not have any problem.
didn't you say that it's an insulated system? If it is, how does the atmosphere heats it? If it's not, energy can move from the system to the atmosphere.
 
The system is isolated except heating from atmosphere. The heating from atmosphere give energy to gas and liquid at step 2. But like that, the system recover energy from only one source of heating, this break the 2° law of thermodynamics and it's not possible.

My questions is: Is it possible to have a liquid from 2 gas with different temperature for the transformation in liquid (butane and propane for example) ? Is it possible to step 3 to exist ?
 
I'm not sure because the expansion of gas reduce temperature of 2 gas, if this temperature is below the temperature of liquefaction of gas G2, why this gas don't become a liquid because it has always a pressure from G1 gas ? The expansion of 2 gas can continue in the time G2 become a liquid, because G2 will give energy to G1 during the time of liquefaction. For example, with G1=nitrogen and G2=butane.
 
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If the gas cooled and compressed itself to where it started, the conservation of energy balance wouldn't work out. Compression and expansion are reversible only if there is no heat transfer or net work out.

I suggest getting a thermodynamics textbook and start learning how these processes work rather than just guessing. Or at least read the wiki page on this.
 
If the gas cooled and compressed itself to where it started, the conservation of energy balance wouldn't work out.
Could you explain a little more, I don't understand ?

For me: if the valve give works at step 3, G1 and G2 lost temperature, when G2 start to become a liquid it give energy at G1 gas, this energy can be recover from valve. When G2 is liquid: stop to recover energy form valve. But the reality is how ?
 

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