Thermodynamics (Kelvin-Planck statement )

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In an isothermal expansion of a gas, the energy absorbed is converted to work, aligning with the Kelvin-Planck statement of the second law of thermodynamics, which emphasizes that energy transformations are not 100% efficient. The discussion highlights that while the absorbed energy increases the random kinetic energy of gas molecules, it does not imply that all energy is converted into useful work. The participants express confusion about the nature of energy conservation and the definition of work in thermodynamics. They suggest that understanding the internal energy changes before and after the expansion is crucial for a complete answer. The conversation also touches on the need for derivations related to the compressibility factor using Van der Waals equations.
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Hi, I got a problem in thermodynamics.

Q. In an isothermal expansion of a gas the energy absorbed by the gas is completely converted to work. Explain how this process can still be consistent with the Kelvin-Planck statement of the second law of thermodynamics.

I thought that's because the question is describing only a part of a cycle and not the full cycle. But i cannot explain further in words... how can i answer this question in full-mark style?
 
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The energy absorbed by the gas is completely converted into the random kinetic energy of the molecules of gas. Is that energy 'work' in the thermodynamic sense?
 
So,... although energy absorbed by the gas is completely converted to work, the energy is disordered, and so the energy is not actually conserved.
Is that what you mean??
 
Who said energy wasn't conserved??! I'm just saying I don't think the absorbed energy is 'completely converted into work'. But I'm not an expert in this subject. How about posting your analysis of the details and see if someone who is an expert has a comment.
 
Hah! Boy, was I wrong. Told you I wasn't an expert. I've just figured out that the heat absorbed by the gas IS completely converted to kinetic energy. If you can figure out the reasoning that led me to this you might be on the way to filling out the answer in such a way is to get full marks. Think about internal energy of the gas before and after the expansion.
 
why kelvin-plank statement is called cyclic?
 
can anyone please derive it and post here the derivation of compressibility factor using vanderwaals equations...
final equatn should be in terms of volume,a and b constants,R...PLEASE DO IT AS FAST AS POSSIBLE
 
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