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Thread: Example of implicit differentiation

  1. December 7th 2010, 07:27 PM #1
    jameskw
    jameskw is offline
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    Example of implicit differentiation

    I cant seem to solve this problem:

    the gas law for an ideal gas with fixed mass m and with gas constant R is PV=mRT. show that
    T (\nabla P / \namba T) (\nabla V / \nabla T) =mR

    can anyone solve this with explanations?
    thanks for replys

    here is my attempt:

    (\nabla P / \nabla T)V=mR
    (\nabla P / \nabla T)=mR/V

    (\nabla V / \nabla T)P=mR
    (\nabla V / \nabla T)=mR/P

    T (\nabla P / \namba T) (\nabla V / \nabla T) =mR
    =
    T (mR/V) (mR/P) =mR

    which i dont think is right..
    Last edited by jameskw; December 7th 2010 at 07:40 PM.
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