Pulling a Piston - Thermodynamics Question

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Discussion Overview

The discussion revolves around the thermodynamic concept of work done by a gas during the expansion against a piston, particularly when the external pressure is equal to the internal pressure. Participants explore the implications of pulling a piston in a gas-filled cylinder and the associated work dynamics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant questions the nature of work done by the gas when pulling a piston in equilibrium conditions, suggesting that the gas may not be doing work in the same way as when weights are involved.
  • Another participant suggests conducting an experiment with a syringe to explore the concept practically, prompting a comparison of work done by the participant versus the gas.
  • A later reply indicates that the gas does indeed perform work, but the participant must also exert force to pull the piston against atmospheric pressure.
  • One participant proposes a mathematical approach to calculate the work done by the gas, considering the pressure differential and the force exerted on the piston.
  • Another participant emphasizes that while the participant is doing work, the gas also contributes to the work done against the piston, particularly in the context of the entire system.

Areas of Agreement / Disagreement

Participants express differing views on the nature of work done by the gas versus the work done by the participant. There is no consensus on how to quantify the work done by the gas in this scenario, and the discussion remains unresolved regarding the exact contributions of each party.

Contextual Notes

Participants acknowledge the complexity of calculating work done in this scenario, particularly regarding the changing pressures and the need for assumptions about the system's behavior during the expansion.

Tabeia
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Hi, I'm studying thermodynamics and I got a question, it's not a homework or anything, it simply isn't covered in my book and it got me thinking
I know that if I have cylinder filled with gas, with a piston on top and there are weights on it maintaining an equilibrium if I remove the weights slowly the gas will expand doing work on the surroundings.
After all the gas molecules will be hitting the piston wall, and as the gas pressure is higher than the external pressure it will expand.

But what if I have a gas cylinder at let's say 1atm, with an external pressure of 1 atm, at equilibrium. No weights on it.
Let's say I pull the piston, I grab it with my hand and pull it.
What will happen?
At first I thought, ok, it will just do expansion work, reversible if I do it slowly, irreversible if I do it quickly...
But then I thought, no that isn't possible, the gas is not doing any work, it's not like with the weights where the only upward force is caused by the gas molecules, now I'm actually pulling the piston.
But my book says that if a gas expands against any moveable surface it's doing work...

Could somebody help me?
 
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Grab a plastic syringe and try!
Then compare your first thoughts with an experiment.
And ask again who (you or gas?) is doing a work (or more work...).
 
Well I tried that lol
Yes, it seems like I'm doing a good amount of work, but isn't the gas doing anything? Maybe something I can't detect with such crude experiment
 
Start with plunger all the way down. Plug hole and pull. Now start with some air in the cylinder. Plug hole and pull. Which is easier? Does that explain why gas is still doing work?
 
Hmm, I get it.
Now let's see with my math is right
If the pressure outside is 1atm, and I'm doing part of the work I can't calculate the work done by the gas simply
integrating(or multiplying since it's constant) the dV times the P.
So could I calculate it by removing the pressure caused by my force/area of the piston, and integrating?
Like if I'm doing a pulling force equal to 1N, the piston area is [itex]1m^2[/itex] the gas will be doing a work equals to
[itex]dW = (1atm-1Pa) * dV[/itex]
Yes, I realize I would need to pull harder with time since the pressure of the gas would decrease, but in the first infinitesimal moment I think it would be that.
 
You may take it that way: you are making a hard work against 1 atm pressure (times syringe piston area). And gas makes his work - not that hard - just its pressure is working.
 
Your book is correct. The gas is doing work against the piston. The reason you also have to do work against the piston is because you have to consider the entire system. When you pull on the piston, it has the gas inside the piston on one side, and the atmosphere on the other. If the gas is at a lower pressure than the atmosphere, then the gas is not doing enough work on the piston to offset the work the piston has to do on the atmosphere while it is moving. The extra work the piston has to do against the atmosphere comes from you.
 

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