The relation between speed of sound ($\nu$) and absolute temperature ($T$) in a gas is

The speed of sound $\nu$ in an ideal gas is given by the formula:
$$\nu =\sqrt{\frac{\gamma RT}{M}}$$
Where $\gamma$ is the adiabatic index, $R$ is the gas constant, $M$ is the molar mass, and $T$ is the absolute temperature. Since $\gamma ,R,$ and $M$ are constants for a specific gas, we have:
$$\nu \propto \sqrt{T}$$