(Thermodynamics) Express adiabatic bulk modulus in terms of

[abstracted6]

Homework Statement

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]

Homework 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]

The Attempt at a Solution

I'm looking for a push in the right direction to begin this problem.

 

[Asim Riaz]

I'm looking through my notes and textbooks, but I'm having trouble understanding how to express the adiabatic bulk modulus in terms of the experimental variables given.