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: $332\text{ m/s}$ 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.

Q: How many tablespoons are equivalent to 3 ounces?

The correct answer is:6 tablespoons Explanation A US fluid ounce is a measure of volume: $1\ \text{fl oz} = 2\ \text{tbsp}$. So multiply that conversion by 3. Steps: Use the conversion: $$1\ \text{fl oz} = 2\ \text{tbsp}$$ Multiply by 3: $$3\ \text{fl oz} = 3 \times 2\ \text{tbsp} = 6\ \text{tbsp}$$ Therefore, 3 ounces equals 6 tablespoons.

Q: How many pounds is 62 kg?

The correct answer is: $136.6866025546241\text{ lb}$ Explanation We use the conversion factor $1\text{ kg} = 2.2046226218487757\text{ lb}$. Steps: Multiply the mass by the conversion factor: $$62\text{ kg}\times 2.2046226218487757\frac{\text{lb}}{\text{kg}} = 136.6866025546241\text{ lb}$$ Round as desired: to two decimal places $$\approx 136.69\text{ lb}$$ (to one decimal place $$\approx 136.7\text{ lb}$$). Therefore, 62 kg ≈ 136.69 lb (exactly about 136.6866 lb).

Q: Convert 165 pounds into kilograms.

The correct answer is: $74.84274105\text{ kg}$ Explanation We convert pounds to kilograms using the exact conversion factor $1\text{ lb} = 0.45359237\text{ kg}$. Multiplying 165 pounds by that factor gives the mass in kilograms. Steps: Use the conversion factor: $1\text{ lb} = 0.45359237\text{ kg}$. Multiply: $$165\times 0.45359237 = 74.84274105$$ Attach the unit: $74.84274105\text{ kg}$. Therefore, 165 pounds equals $74.84274105\text{ kg}$ (commonly rounded to $74.84\text{ kg}$).

Q: What is 300 milliliters in fluid ounces?

The correct answer is: $10.14\text{ US fl oz (approx.)}$ Explanation We convert using the US fluid ounce definition: $1\text{ US fl oz} = 29.5735295625\text{ mL}$, so multiply mL by the factor $1/29.5735295625 \approx 0.0338140226$. Steps: Multiply: $$300\text{ mL}\times 0.0338140226\frac{\text{US fl oz}}{\text{mL}}=10.14420678\text{ US fl oz}$$ Round to a sensible precision: $$\approx10.14\text{ US fl oz}$$ If you meant imperial (UK) fluid ounces instead: $$300\text{ mL}\div28.4130625\frac{\text{mL}}{\text{imp fl oz}}\approx10.56\text{ imp fl oz}$$

Q: What is 103 kg in lbs?

The correct answer is: $227.08\text{ lb}$ Explanation To convert kilograms to pounds multiply by the conversion factor $2.2046226218\text{ lb/kg}$. For 103 kg, multiply 103 by that factor and round to a convenient number of decimal places. Steps: Conversion factor: $1\text{ kg} = 2.2046226218\text{ lb}$ Multiply: $103\text{ kg}\times 2.2046226218\text{ lb/kg} = 227.0761300454\text{ lb}$ Round: $227.0761300454\text{ lb}\approx 227.08\text{ lb}$ Therefore, $103\text{ kg}\approx 227.08\text{ lb}$.

Question

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

Accepted Answer

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

Explanation

The speed of sound in dry air at $0^\circ	ext{C}$ is about $331.3	ext{ m/s}$, which is commonly rounded to $332	ext{ m/s}$. At typical room temperature ($20^\circ	ext{C}$) it is higher (about $343	ext{ m/s}$), so $332	ext{ m/s}$ 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: $\gamma\approx1.4$, $R=8.314	ext{ J/(mol·K)}$, $M\approx0.028964	ext{ kg/mol}$, $T=273.15	ext{ K}$ (0°C). Plugging in gives approximately $v\approx331.3	ext{ m/s}$.
Rounded to the given choices: $331.3	ext{ m/s}\approx332	ext{ m/s}$.

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