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Ideal Gas Equation-Thermodynamics

  1. Oct 15, 2009 #1
    1. The problem statement, all variables and given/known data
    An ideal gas originally at temperature T1 and pressure P1 is compressed reversibly against a piston to a volume equal to one half its original volume. The temperature of the gas is varied during the compression so that at each instant the relation P=AV is satisfied, A=Constant.
    Find the final tempertature T2 in terms of T1

    2. Relevant equations

    PV=nrT


    3. The attempt at a solution
    P1V1=nRT1
    P2V1/2=nRT2

    V1=nRT1/P1=2nRT2/P2

    Canceling yields: P2T1=2T2P1

    Then: T2=T1P2/2P1

    This is where I get stuck..The answer is suppose to be T2=T1/4

    I cant find where to get the 4 from or how to cancel the P's
     
  2. jcsd
  3. Oct 15, 2009 #2

    gabbagabbahey

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    From here, use the information you are given that P=AV...
     
  4. Oct 15, 2009 #3

    Andrew Mason

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    Write the expression for T in terms of V (hint you have to use the relationship between P and V that you are given).

    To find Tf substitute .5Vi for Vf.

    AM
     
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