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(Thermodynamics) Express adiabatic bulk modulus in terms of

  1. Oct 11, 2012 #1
    1. The problem statement, all variables and given/known data
    The adiabatic bulk modulus is defined as:

    [tex]\beta_s=-V(\frac{∂P}{∂V})_s[/tex]


    Express it in terms of experimental variables: [tex]C_p, C_v, \alpha, \beta[/tex]

    2. Relevant equations

    Heat capacity at constant pressure:[tex]C_P=(\frac{∂Q}{∂T})_P[/tex]
    Heat capacity at constant volume:[tex]C_V=(\frac{∂Q}{∂T})_V[/tex]
    Coefficient of thermal expansion: [tex]\alpha=\frac{1}{V}(\frac{∂V}{∂T})_P[/tex]
    Coefficient of compressibility: [tex]\beta=-\frac{1}{V}(\frac{∂V}{∂P})_T[/tex]

    3. The attempt at a solution

    I'm looking for a push in the right direction to begin this problem.
     
    Last edited: Oct 11, 2012
  2. jcsd
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