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Calculating work done on a gas- Adiabatic process PV diagram.

  1. Jun 14, 2014 #1
    1. The problem statement, all variables and given/known data

    As per attachment. Part iii

    How would you do this question by integrating the work?

    2. Relevant equations

    W = - ∫P dV

    PV^gamma = constant


    3. The attempt at a solution

    So I integrated the work with P= constant/ V^gamma and came up with this:

    W = constant* ( Vf^(1-gamma)-Vi^(1-gamma) ) / (1-gamma)


    So now how to I find the constant from the graph and information provided. This is what I was trying to do with not much luck:

    constant = (Pi* Vi)^gamma / (Pf* Vf)^gamma

    Am I missing something obvious?

    Thanks in advance.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

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  3. Jun 14, 2014 #2

    BiGyElLoWhAt

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    Gold Member

    Have you done this before? Draw yourself some riemann rectangles and maybe you'll see how you have to set this up. Think about x and y and then look at what you have, hopefully you'll see what you need to do.
     
  4. Jun 14, 2014 #3
    Show us the details of how you did the integration, and we will be able to help you. Otherwise, it's hard to point out where your problem is from just your final equations.

    Chet
     
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