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Calclate its volume after compression?

  1. May 14, 2009 #1
    1. The problem statement, all variables and given/known data

    A gas at an initial volume of 0.1 m^3, a pressure of 140 kN/m^2 and a temperture of 25 degrees is compressed to a pressure of 700kN/m^2 and a temerture of 60 degrees.

    Determine its volume after compression?

    2. Relevant equations

    P1 × V1 = P2 × V2
    T1 T1


    3. The attempt at a solution

    P1 = 140Kn/m^2
    V1 = 0.1 M^3
    T1 = 298 K

    P × V = 140 × 0.1 = 0.04
    T 298

    P1 = 700kN/m^2
    V1 = ?
    T1 = 333 K

    I need to find V1 and need help to show me how to get this value please thanks In advance.
     
    Last edited: May 14, 2009
  2. jcsd
  3. May 14, 2009 #2

    dx

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    Gold Member

    Is it an ideal gas? Use the equation

    [tex] \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}[/tex]

    It follows from PV = NkT.
     
  4. May 14, 2009 #3
    V2 = p1v1t2 / t1p2


    v2= 140,000, 0.1, 333.15 / 298.15, 700000 = 0.022

    is this correct
     
  5. May 14, 2009 #4

    dx

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    Gold Member

    Yes. Don't forget the units.
     
  6. May 14, 2009 #5
    Thank you
     
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