1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
    W=∫v1v2PdV

    ∴W=∫0PdV

    Would he just simply substitute his P in this formula?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Mathematical model, work done on a gas
  1. Work done by a gas (Replies: 6)

Loading...