Impossible thermodynamics Q :(((

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SUMMARY

The discussion centers on the implications of fixed volume in thermodynamics and its effect on work done on the surroundings or the system. It emphasizes the pressure-volume work equation, specifically W = -∫(V1 to V2) P dV, which illustrates that no work can be performed when the volume remains constant. Participants concluded that in a fixed volume scenario, the system cannot do work on the surroundings, nor can work be done on the system itself.

PREREQUISITES
  • Understanding of basic thermodynamic principles
  • Familiarity with the concept of work in physics
  • Knowledge of pressure-volume relationships
  • Proficiency in calculus, particularly integration
NEXT STEPS
  • Study the implications of the first law of thermodynamics in fixed volume systems
  • Explore the concept of isochoric processes in thermodynamics
  • Learn about pressure-volume work in non-constant volume scenarios
  • Investigate real-world applications of thermodynamic principles in engineering
USEFUL FOR

This discussion is beneficial for physics students, thermodynamics researchers, and engineers involved in system design where volume constraints are critical.

RoisinCleary
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Homework Statement
My professor has made up this question for us and I have no idea what I’m doing. I drew a diagram but I don’t know how to answer these questions

Consider a cylinder with a fixed piston, Half-way up the cylinder is a thin sheet of glass, separating the cylinder in to two halves.
N particles of gas exist on one side (A) of the partition, and 0(zero) particles on the other (B). At t=0, the glass plate shatters into tiny pieces (essentially ‘disappears’), & The gas in A can expand into side-B. a) is there any (moving) boundary for the gas to push against? Can any work be done? W=Integral(F * dX) b) what does the f(v) function of the gas as it passes by a plane close to the (shattered) glass plate look like (compare/contrast to the f(v) from side A before the glass broke.) c) in this ‘nearly instantaneous’ change, can heat flow from the cylinder into the gas? d) write out the numerical values of the terms in the 1st-law as a result of a)-c)

Any help is greatly appreciated :)
Relevant Equations
W=Integral(F * dX)
image.jpg
 
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If the volume of the container is fixed, can any work be done on the surroundings? Or on the flip side, on the system?

For thermodynamics it's often easier to consider the pressure-volume form for work done on the system, namely ##W = -\int_{V_1}^{V_2} P dV##.
 
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