Prove expansibility / isothermal compressibility

  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. dV = (∂V/∂T)PdT + (∂V/∂P)TdP

    set dV = 0 to evaluate (∂P/∂T)V

  4. Understand. Thank you
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