Question

What is the speed of sound in air that has a temperature of 304.2 K?

Answer 1

Given:

Temperature is

`T=304.2\text{ K}`

Required: speed of the sound

Step-by-step explanation:

the speed of the sound in the air is given by

`v=331.4\text{ m/s+0.606 m/s C}* T`

first, calculate the temperature in celsius.

we know that

`T\text{ K }=273.15+t\text{ C}`

substitute of the value of T in the above relation, we get

`\begin{gathered} 304.2\text{ K}=273.15+t\text{ C} \\ t\text{ =}31.05\text{ C} \end{gathered}`

now substitute this value of t in the velocity relation, we get

`\begin{gathered} v=331.4\text{ m/s+0.606 m/s C}*31.05\text{ C} \\ v=350.22\text{ m/s} \end{gathered}`

Thus, the speed of the sound is

`350.22\text{ m/s}`