Newton's Formula for the Speed of Sound in Gases

At what temperature will the speed of sound be double of its value at $27°C$?

If the speed of sound at $0°C$ be $330 {\mathrm{ms}}^{-1}$, then at what temperature will its value become $495 {\mathrm{ms}}^{-1}$?

Calculate the ratio of the speeds of sound at $0°C$ and $1092 K$ in air. 

The wavelength of a sound note of frequency $500 Hz$ at $15°C$ in air is $0.68 \mathrm{m}$. The density of air at $0°C$ is $1.29 \mathrm{kg} {\mathrm{m}}^{-3}$ . Calculate $\gamma$ for air. The atmospheric pressure is $1.01 \times {10}^5 \mathrm{N} {\mathrm{m}}^{-2}$. 

Calculate the difference in the speed of sounds in air at $- 3°C$ , $60 \mathrm{cm}$ pressure of mercury and $30°C, 75 \mathrm{cm}$ pressure of mercury. The speed of sound in air at $0°C$ is $332 {\mathrm{ms}}^{-1}$.

The speed of sound in air at $15°C$ is $340 \mathrm{m} {\mathrm{s}}^{-1}$. What are the speeds at $0°C$ and at $30°C$?

If the density of air at normal temperature and pressure be $1.293 \mathrm{kg} {\mathrm{m}}^{-3}$, the density of mercury at $0°\mathrm{C}$ be $13.6 \mathrm{x} {10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$, ${\mathrm{C}}_{\mathrm{p}}=0.2417$ and ${\mathrm{C}}_v=0.1715$, then calculate the speed of sound in air at $100°\mathrm{C}$. $\left(g=9.8 \mathrm{N} {\mathrm{kg}}^{-1}\right)$

Find the ratio of the speeds of sound in hydrogen and oxygen at the same temperature. Their molecular masses are $2$ and $32$ respectively. 

Find the ratio of the speeds of sound in hydrogen and carbon dioxide at the same temperature. The values of $\gamma$ for $H_2$ are $C{O}_2$, are $1.4$ and $1.3$ respectively, and the ratio of their molecular masses is $1:22.$