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Gas Laws

  1. Nov 6, 2005 #1
    Equation 1: p = 1/3 d<c^2>
    (p is pressure, d is density, <c^2> is mean squared speed)
    The law of pressures states that for a fixed mass of an ideal gas at a constant volume, the pressure is proportional to the kelvin temperature. Explain qualitatively how this law follows from equation 1.

    I know this may be pretty basic stuff but i keep going round in circles :frown: Any suggestions about how i should answer it?
     
  2. jcsd
  3. Nov 6, 2005 #2

    Doc Al

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    Staff: Mentor

    How is temperature related to the speed of the molecules?
     
  4. Nov 6, 2005 #3
    1/2 m <c^2> = 3/2 KT ??
    (for one molecule)
     
  5. Nov 6, 2005 #4

    Doc Al

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    Staff: Mentor

    OK. That's all you need. P is proportional to <c^2> which is proportional to T; thus P is proportional to T.
     
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