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Law of ideal gas

  1. Oct 13, 2007 #1
    1. The problem statement, all variables and given/known data
    The law for an ideal gas is given by P = n*R*T/V. In our case, n and R are constant, so P = f(V,T).

    I have found dP/dT, dT/dV and dV/dP. I have to find the result when these three differentials are multiplied with eachother.

    3. The attempt at a solution

    I get -1 - can you guys confirm this? And what does this mean?
  2. jcsd
  3. Oct 13, 2007 #2


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    Looks right to me. This is true for any three variables related by a differentiable function.
  4. Oct 13, 2007 #3
    I see.. does it have any specific meaning for an ideal gas?
  5. Oct 14, 2007 #4
    I have searched Wikipedia - I haven't found anything. Can you help?
  6. Oct 14, 2007 #5


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    I cannot think of any meaning that goes beyond the literal interpretation of the operations.

    e.g. it suggests that, at least on tiny scales, you can compute the relationship between P and V along an isotherm by instead looking at how T and P relate along an isochore and how T and V relate along an isobar.
  7. Oct 14, 2007 #6


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