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. Chestermiller

    Staff: Mentor

    dV = (∂V/∂T)PdT + (∂V/∂P)TdP

    set dV = 0 to evaluate (∂P/∂T)V
     

  4. Understand. Thank you
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook