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

c = \sqrt{{\frac{\partial p}{\partial ρ} |}_{S}} = \sqrt{\frac{B_{S}}{ρ}}

where $B$ 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} ρ}}

Speed of sound

See also=