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Homework Help: Isothermal Compression/Expansion

  1. Sep 11, 2014 #1
    1. The problem statement, all variables and given/known data
    Gas obeys Equation of State, PV=RT/(1-bP), where b is a temperature dependent constant.
    Isothermal process (T is constant)
    V goes from V1 to V2
    P goes from P1 to P2

    Show that the amount of Work is

    2. Relevant equations

    3. The attempt at a solution
    Solved PV=RT/(1-bP) for P in terms of V

    I don't know how to really integrate that expression. I used Wolfram to eventually get this expression:


    I'm pretty sure that this isn't the approach to solve this problem. Can someone point me in the right direction?

    Thanks in advance!
  2. jcsd
  3. Sep 11, 2014 #2
    Try integrating PdV by parts.

  4. Sep 11, 2014 #3
    That did it. Thanks for the help!
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