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Adiabatic Processes for an Ideal Gas

  1. Jan 30, 2009 #1
    1. The problem statement, all variables and given/known data

    The problem is derive the adiabatic processes for an ideal gas going through a point (v,p) on the p-V plane. Also, in terms of p,T and v,T. Draw the curves.

    2. Relevant equations

    First Law of Thermo

    Properties of an Ideal Gas

    Properties of Adiabatic Processes

    3. The attempt at a solution

    I derived the transformations, but I am getting the impression from the wording that I have to draw all three curves on the p-V diagram. Yet, I don't know. I figure I have to plot the other two in their respective planes.
  2. jcsd
  3. Jan 30, 2009 #2

    Andrew Mason

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    The question is not clear. Can you provide the actual wording of the question?

  4. Jan 30, 2009 #3
    That is the problem wording.

    I have to derive you know

    [tex] P V^{gamma} = Constant[/tex]

    [tex] P^{1-gamma} T^{gamma} = Constant[/tex]

    [tex] T V^{gamma-1} = Constant[/tex]

    Which I have, from like the 1st Law of Thermodynamics and some empirical facts regarding the internal energy and enthalpy of an ideal gas.

    My problem is I am confused whether it is possible to plot them on the same graph. It just talks about a point in the P-V planes. I would think I have to plot each on in their respective plane.
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