Question

A sound wave with speed of 375m/s find the temperature?

Answer 1

The temperature of the gas is approximately 349.76980 K

Step-by-step explanation:

The given parameter for the speed of the sound wave, v is v = 375 m/s

The formula for the speed of sound in a gas given the temperature of the gas, is given as follows;

`v = 331.3 * \sqrt{ (T_K)/(273 \ K ) }`

Where;

`T_K` = The temperature of the gas through which the sound travels

Therefore, for a speed of sound of 375 m/s, we have;

`375 = 331.3 * \sqrt{ (T_K)/(273 \ K ) }`

`T_K = 273 \ K * \left ((375)/(331.3) \right )^2 \approx 349.76980 \ K`

`T_K` ≈ 349.76980 K

The temperature of the gas,
`T_K` ≈ 349.76980 K.