detemine the speed to sound at atomperature of 5'c
Answers
Answer:
If the temperature is TC = 20 °C (T = 293 K), the speed of sound is v = 343 m/s. The equation for the speed of sound in air v = √γRTM can be simplified to give the equation for the speed of sound in air as a function of absolute temperature: v=√γRTM=√γRTM(273K273K)=√(273K)γRM√T273K≈331m/s√T273K. v=fλ.
The speed of sound at a temperature of 20⁰C ( T = 293K) is 343ms⁻¹.
The equation for the speed of sound in air, v = √γRTM.
Speed of sound is related to temperature as velocity is directly proportional to the square root of temperature in Kelvin.
Putting the temperature in the equation, 343 = √γR(293)M
Now the temperature 5°C into Kelvin = 273+5 = 278K
Now, v = √γR(278)M
Dividing both equations,
(343 = √γR(293)M) / (v = √ γR(278)M)
v = 343 × √278 / √293
v = 334.1 ms⁻¹
Therefore, the speed of sound at a temperature of 5°C is 334.1 ms⁻¹.