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+(T)/(273)}`

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

A.

`v=331\sqrt[]{1+(0)/(273)}=331`

B.

`v=331\sqrt[]{1+(25)/(273)}=345.82`

C.

`v=331\sqrt[]{1+(30)/(273)}=348.71`

D.

`v=331\sqrt[]{1+((-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