Question: At what temperatures will the speed of sound in air be 3 times its value at 0oC?
Solution:
We know that,
$v \propto \sqrt{T}$
Given that,
vT = 3v0
$\frac{3 v_{0}}{v_{0}}=\sqrt{\frac{T}{273+0}} \Rightarrow \sqrt{T}=3 \sqrt{273}$
T = 2457 – 273 = 2184oC
