Question

Calculate the speed of sound in air for the following temperatures:A. 0°C B. 25°CC. 30°C D. -15°C

Answer 1

The speed of sound in air at a given temperature is given by:

$v=331\sqrt[]{1+\frac{T}{273}}$

Then we need to plug the value of the temperature to determine each case.

A.

$v=331\sqrt[]{1+\frac{0}{273}}=331$

B.

$v=331\sqrt[]{1+\frac{25}{273}}=345.82$

C.

$v=331\sqrt[]{1+\frac{30}{273}}=348.71$

D.

$v=331\sqrt[]{1+\frac{(-15)}{273}}=321.78$

Therefore the speeds for the given temperatures are:

A. 331 m/s

B. 345.82 m/s

C. 348.71 m/s

D. 321.78 m/s