Respuesta :
Answer:
The speed of sound in air when the temperature is 20°C is 343 m/s.
Explanation:
Given that,
Temperature T = 20°C = 20+273=293 K
The speed of sound in air is the distance traveled divided by time.
We know that,
The relation between the speed of sound in air and temperature is defined as:
[tex]v= 331\sqrt{\dfrac{T}{273}}[/tex]
Where, T = temperature in Kelvin
v = speed of sound in air
We substitute the value into the formula
[tex]v = 331\sqrt{\dfrac{293}{273}}[/tex]
[tex]v = 342.9 = 343\ m/s[/tex]
The speed of sound in air is 331 m/s at 0° C, 343 m/s at 20°C and 346 m/s at 25°C.
Hence, the speed of sound in air when the temperature is 20°C is 343 m/s.