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Thermodynamic polytropic compression

  1. Nov 16, 2008 #1
    1. The problem statement, all variables and given/known data
    I'm reading through my textbook and doing examples on polytropic process. I see this step and cannot figure out how the textbook gets V3 = 0.0169 m3

    P2V2n = P3V3n
    (500 kPa)(0.05364 m3)1.2 = (2000 kPa)V31.2
    V3 = 0.01690 m3

    2. Relevant equations
    Not sure what to add other than it is a polytropic compression process

    3. The attempt at a solution
    I've tried multiplying the left side so its 26.821.2 then diving it it by 2000 to get rid of it from the right side to leave V3 alone. Tried subtracting 1.2 by 1 and tried again...no dice.
  2. jcsd
  3. Nov 18, 2008 #2


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    Science Advisor

    Solve for V3:

    [tex] V_3 = \left(\frac{V_2^nP_2}{P_3}\right)^{1/n}[/tex]

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