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3 years ago

What is the speed of sound in air when the temperature is 20°C?

Physics

2 answers:

Anarel [89]3 years ago

5 0

The answer to your question is 343 m/s

Minchanka [31]3 years ago

4 0

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:

$v= 331\sqrt{\dfrac{T}{273}}$

Where, T = temperature in Kelvin

v = speed of sound in air

We substitute the value into the formula

$v = 331\sqrt{\dfrac{293}{273}}$

$v = 342.9 = 343\ m/s$

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.

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