Write the equation for the speed of a sound wave in an ideal gas.

(N/A) According to the Laplace correction for the speed of sound in an ideal gas,the process is considered adiabatic. The speed of sound $v$ is given by the formula:
$v = \sqrt{\frac{\gamma P}{\rho}}$
Where:
$v$ is the speed of sound,
$\gamma$ is the adiabatic index (ratio of specific heats $C_p/C_v$),
$P$ is the pressure of the gas,
$\rho$ is the density of the gas.
Alternatively,using the ideal gas law $PV = nRT$ and $\rho = M/V$,the equation can be expressed in terms of temperature $T$ as:
$v = \sqrt{\frac{\gamma RT}{M}}$
Where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.