Question

Depending on the temperature of the air, the speed of sound will vary. At what temperature (in Kelvin) would sound travel through air at 313 m/s?

Answer 1

The temperature in Kelvin at which sound would travel at 313 m/s in air can be calculated using the formula Tk = (Tc + 273.15), where Tk is the temperature in Kelvin and Tc is the temperature in degrees Celsius. By substituting the value of speed of sound (313 m/s) into the equation, we can find that the temperature in Kelvin is approximately 313.85 K.

Step-by-step explanation:

The speed of sound in air is affected by the temperature, with warmer temperatures resulting in faster speeds. At 0°C, the speed of sound in air is 331 m/s. To find the temperature in Kelvin at which sound would travel at 313 m/s, we can use the formula:

Tk = (Tc + 273.15)

where Tk is the temperature in Kelvin and Tc is the temperature in degrees Celsius.

Therefore, to find the temperature in Kelvin at which sound travels at 313 m/s, we can solve the equation:

313 = (Tc + 273.15)

Tc = 313 - 273.15

Tc ≈ 39.85°C

So, the temperature in Kelvin at which sound would travel at 313 m/s is approximately 313.85 K.