Question

What is the speed of sounds in dry air at 20c ?

Answer 1

343 m/s

Step-by-step explanation:

The speed of sound in dry air can be calculated as:

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

Where T is the temperature in celsius. So, replacing T by 20 °C, we get:

`\begin{gathered} v=331\sqrt[]{1+(20)/(273)} \\ v=331\sqrt[]{1+0.073} \\ v=331\sqrt[]{1.073} \\ v=331(1.036) \\ v=342.9\text{ m/s} \end{gathered}`

Therefore, the speed of sound in dry air at 20 °C is approximately 343 m/s