Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Thermodynamics problem

  1. Oct 23, 2005 #1
    hello the problem is as stated:
    a cylinder containing n moles of an ideal gas undergoes an adiabatic process. using [tex]W=-\int Pdv[/tex] and using the condition [tex]PV^\gamma=constant[/tex], show that the work done is:
    [tex]W=(\frac{1}{\gamma - 1}(PfVf - PiVi)[/tex] where Pf is final pressure, Pi is initial pressure...
    I tried substituting that [tex]P=\frac{constant}{V^\gamma}[/tex] into the integral, and evaluating from Vi to Vf, but this still leaves the gamma as an exponent. how can i go about solving this one?
    thanks
     
  2. jcsd
  3. Oct 24, 2005 #2

    ehild

    User Avatar
    Homework Helper

    Replace back [tex] V^{\gamma} [/tex] by constant/P.

    ehild
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook