Solving Problem 3 in MIT's Statistical Physics Course

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SUMMARY

The discussion focuses on solving Problem 3 from MIT's Statistical Physics course, specifically regarding the calculation of the integral of dW along specified paths. The user seeks to relate dW to dV, noting that dW equals F dot dl, but lacks clarity on the definitions of F and dl in this context. A suggested approach is to utilize the equation ∫PdV, which provides an alternative expression for work, guiding the user towards a solution.

PREREQUISITES
  • Understanding of integral calculus, particularly in the context of physics.
  • Familiarity with the concepts of work and energy in thermodynamics.
  • Knowledge of vector calculus, specifically dot products.
  • Basic principles of statistical physics as covered in MIT's course materials.
NEXT STEPS
  • Review the derivation of the work-energy theorem in thermodynamics.
  • Study the application of the integral ∫PdV in various physical scenarios.
  • Explore vector calculus, focusing on dot products and their physical interpretations.
  • Examine additional problems from MIT's Statistical Physics course to reinforce understanding.
USEFUL FOR

Students of physics, particularly those enrolled in statistical physics courses, as well as educators seeking to clarify concepts related to work and energy integrals.

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[SOLVED] statistical physics

Homework Statement


http://ocw.mit.edu/NR/rdonlyres/Physics/8-044Spring-2004/AC9B128C-9358-4177-BFE6-A142E0FD897B/0/ps4.pdf
I am working on Problem 3.
So I want to calculate the integral of dW along each of those paths. But how can I relate dW to dV? dW is equal to F dot dl but I don't really know F or dl here?


Homework Equations





The Attempt at a Solution

 
Last edited by a moderator:
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Another expression for work is the following:

[tex]\int_{V_1}^{V_2} PdV[/tex]

Try to start from this expression for this problem.
 

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