Speed of sound

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

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle c={\sqrt {\left.{\frac {\partial p}{\partial \rho }}\right\vert _{S}}}={\sqrt {\frac {B_{S}}{\rho }}}}

where $B_{S}$ is the adiabatic bulk modulus, given by

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle B_{S}={\frac {C_{p}}{C_{V}}}B_{T}}

where $C$ is the heat capacity and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B_T} is the isothermal bulk modulus, leading to

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle c = \sqrt{ \frac{C_p B_T}{C_V \rho} }}

See also

• Cole equation of state