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Easy Gas Compression question PV=nRT

  1. Sep 29, 2009 #1
    1. The problem statement, all variables and given/known data
    Suppose you compress an ideal gas to half its original volume, while also halving its absolute temperature. During this process, the pressure of the gas (a) halves (b) remains constant (c) doubles (d) x4


    2. Relevant equations
    PV=nRT




    3. The attempt at a solution
    P*2V=nR*.5T?
    (d) Quadruples
    the answer however is (b)
     
  2. jcsd
  3. Sep 29, 2009 #2
    half its original volume

    Take a closer look at what you did instead.
     
  4. Sep 29, 2009 #3

    rl.bhat

    User Avatar
    Homework Helper

    Equation of states can be written as
    P1V1/T1 = P2V2/T2
    In second state V2 =(V1)/2 and T2 = (T1)/2
    Substitute in the above equation and find P2.
     
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