Given:
Temperature is
[tex]T=304.2\text{ K}[/tex]Required: speed of the sound
Explanation:
the speed of the sound in the air is given by
[tex]v=331.4\text{ m/s+0.606 m/s C}\times T[/tex]first, calculate the temperature in celsius.
we know that
[tex]T\text{ K }=273.15+t\text{ C}[/tex]substitute of the value of T in the above relation, we get
[tex]\begin{gathered} 304.2\text{ K}=273.15+t\text{ C} \\ t\text{ =}31.05\text{ C} \end{gathered}[/tex]now substitute this value of t in the velocity relation, we get
[tex]\begin{gathered} v=331.4\text{ m/s+0.606 m/s C}\times31.05\text{ C} \\ v=350.22\text{ m/s} \end{gathered}[/tex]Thus, the speed of the sound is
[tex]350.22\text{ m/s}[/tex]