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Adiabatic Process

  1. Apr 10, 2012 #1
    1. The problem statement, all variables and given/known data

    Derive an expression for the change in temperature with pressure for an adiabatic process. If a dry air parcel is lifted adiabatically from 1000hPa to 800hPa what is the final temperature if it was initally at 20[itex]^{o}[/itex]C?[itex]^{}[/itex]

    2. Relevant equations
    [itex]PV^{k}=constant[/itex]
    I derived an equation [itex]\frac{T_{2}}{T_{1}}= \frac{P_{2}}{P_{1}}^{\frac{k-1}{k}}[/itex]

    Not sure if this is the correct equation?

    3. The attempt at a solution

    [itex]k = \frac{c_{p}}{c_{v}}[/itex]

    I'm not sure if this is even the right direction for this question, and if it is where can I get the value of the c's?

    Any help would be appreciated. thanks =D
     
  2. jcsd
  3. Apr 11, 2012 #2

    Andrew Mason

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    Science Advisor
    Homework Helper

    What is your reasoning? Assume air is an ideal gas.

    Express V in terms of P and T and substitute into [itex]PV^{k}=constant[/itex]

    AM
     
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