# (Thermodynamics) Express adiabatic bulk modulus in terms of

1. Oct 11, 2012

### abstracted6

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

$$\beta_s=-V(\frac{∂P}{∂V})_s$$

Express it in terms of experimental variables: $$C_p, C_v, \alpha, \beta$$

2. Relevant equations

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

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