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Prove expansibility / isothermal compressibility

  1. Nov 22, 2012 #1
    β is expansibility , (1/V)(∂V/∂T) at constant temperature
    κ is isothermal compressibility , (-1/V)(∂V/∂P) at constant pressure

    How to prove (∂P/∂T) at constant V = (β/κ)
    Thank you
     
  2. jcsd
  3. Nov 22, 2012 #2
    dV = (∂V/∂T)PdT + (∂V/∂P)TdP

    set dV = 0 to evaluate (∂P/∂T)V
     
  4. Nov 22, 2012 #3

    Understand. Thank you
     
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