What is the speed of sound in air? Choose from the options: 332 m/s, 996 m/s, 100 m/s, none of these.

Q: What is the speed of sound in air? Choose from the options: 332 m/s, 996 m/s, 100 m/s, none of these.

The correct answer is: 332 m/s Explanation The speed of sound in dry air at 0^circC is about 331.3 m/s, which is commonly rounded to 332 m/s. At typical room temperature (20^circC) it is higher (about 343 m/s), so 332 m/s is the best match among the choices. Steps: Formula for speed of sound in an ideal gas: v=√((γ RT)/(M)) For dry air: γ≈1.4, R=8.314 J/(mol·K), M≈0.028964 kg/mol, T=273.15 K (0°C). Plugging in gives approximately v≈331.3 m/s. Rounded to the given choices: 331.3 m/s≈332 m/s. Therefore, among the options, 332 m/s is correct.

The correct answer is: $332\text{ m/s}$

Explanation

The speed of sound in dry air at $0^\circ\text{C}$ is about $331.3\text{ m/s}$, which is commonly rounded to $332\text{ m/s}$. At typical room temperature ($20^\circ\text{C}$) it is higher (about $343\text{ m/s}$), so $332\text{ m/s}$ is the best match among the choices.

Steps:

Formula for speed of sound in an ideal gas: $$v=\sqrt{\frac{\gamma RT}{M}}$$
For dry air: $\gamma\approx1.4$, $R=8.314\text{ J/(mol·K)}$, $M\approx0.028964\text{ kg/mol}$, $T=273.15\text{ K}$ (0°C). Plugging in gives approximately $v\approx331.3\text{ m/s}$.
Rounded to the given choices: $331.3\text{ m/s}\approx332\text{ m/s}$.

Therefore, among the options, 332 m/s is correct.

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