Adiabatic compression of gas at two temperatures

  1. I have a system that looks like this:


    The top part is a piston, whereas the bottom is a displacer.

    I have looked at the Isothermal case for this system in a separate thread (

    But in short, the result was that the pressure of the system is equal to:

    [tex]P=\frac{mR}{V_{gc}/T_c +V_{gh}/T_h}[/tex]

    How can I modify this to take into account the temperature rise caused by adiabatic compression? I suppose I need to write the T_gc + T_gh as functions of the compression by the top piston, but how?
  2. jcsd
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