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Prove n =1 for pv^n=C, when temperature is constant

  1. Jan 19, 2013 #1
    1. The problem statement, all variables and given/known data

    Show that an isothermal process can be regarded as a special case of a polytropic process and deduce what value of n applies in this case.

    2. Relevant equations

    [itex]P_{1}V_{1}^n = const[/itex]


    3. The attempt at a solution
    [itex]P_{1}V_{1}^n = mRT_{1}[/itex]
    [itex]P_{2}V_{2}^n = mRT_{1}[/itex]

    (since temperature is constant [itex]T_{2} = T_{1}[/itex])

    therefore:
    [itex]P_{1}V_{1}^n = P_{2}V_{2}^n[/itex]

    but i dont think this proves that n=1 for a isothermal process
     
  2. jcsd
  3. Jan 19, 2013 #2
    Edit: What I wrote was nonsense sorry.
     
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