Speed of sound

The speed of sound ($c$) can be written as:

$c=\sqrt{{\frac{\partial p}{\partial \rho }|}_S}=\sqrt{\frac{B_S}{\rho }}$

where $B_S$ is the adiabatic bulk modulus, given by

$B_S=\frac{C_p}{C_V}{B}_T$

where $C$ is the heat capacity and $B_T$ is the isothermal bulk modulus, leading to

$c=\sqrt{\frac{C_p{B}_T}{C_V\rho }}$

See also

• Cole equation of state