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Work done on a gas as volume decreases

  1. May 15, 2012 #1
    In a mathematical model, a gas is under a pressure of the form P=e-v2 (v is volume). Find the work (in Joules) done on the gas as its volume decreases from infinity to zero.



    dW = PdV



    Solution Attempt:
    W=∫0e-v2dV

    http://en.wikipedia.org/wiki/Gaussian_integral

    Gaussian Integral=∫-∞e-x2dx=√∏

    ∴∫0e-v2dV

    =(√∏)/2|0

    W=(√∏)/2

    Is this correct???
     
  2. jcsd
  3. May 15, 2012 #2
    anybody?
     
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