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Homework Help: Mathematical model, work done on a gas

  1. May 14, 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.
  2. jcsd
  3. May 14, 2012 #2
    Use the definition for work.

    dW = PdV

    Integrate both sides.
  4. May 14, 2012 #3
    so would it just be ∫e-v2 from ∞ to 0?
  5. May 14, 2012 #4
    which gives -.886227 joules?
  6. May 14, 2012 #5
    W = -fnInt(e^v^2, v, infinity, 0)

    Seems like just need to set up that definite integral.
  7. May 15, 2012 #6


    Would he just simply substitute his P in this formula?
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