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Homework Help: Adiabatic process

  1. Apr 6, 2007 #1
    1. The problem statement, all variables and given/known data
    3.14
    (0.5) How is the fractional change in temperature related to [tex]\frac{dT}{T}[/tex] the fractional change in pressure [tex]\frac{dP}{P}[/tex] ?
    (IPhO 2006)

    2. Relevant equations

    [tex]PV^{\gamma}=\rm constant[/tex]

    3. The attempt at a solution

    nC_vdT=-PdV (1), dV/dP=-nRT/(P^2)

    If I substitute dV in the equation (1) it does not give the right result.

    Can someone help me, please? :tongue2:

    Thanks my dear friends.
     
  2. jcsd
  3. Apr 6, 2007 #2

    marcusl

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    It appears you are talking about an ideal gas? Then in
    [tex]P=nRT/V[/tex]
    we see right away that P changes the same way as T. This is shown mathematically as

    [tex]\frac{dP}{dT}=\frac{nR}{V},[/tex]

    [tex]\frac{dP}{P}=\frac{nRdT}{PV}=\frac{dT}{T}.[/tex]
     
  4. Apr 6, 2007 #3
    Thanks marcusl for your help. But you are wrong. :( I already solved it. Thanks anyway my dear friend.
     
  5. Apr 6, 2007 #4

    marcusl

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    Sorry! Glad you solved it.
     
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