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  • At what temperatures will the speed of sound in air be 3 times its value at 0^oC?

At what temperatures will the speed of sound in air be 3 times its value at 0^{\circ}C?

Answers (1)

We know that

v \propto T

Let vT be speed of sound in air at temp T and v0 at 0^{\circ}C

\frac{ v_{T}}{v_{0}}=\sqrt{\frac{T}{T_{0}}}    and v_{T}=3v_{0}

 

\frac{3v_{0}}{v_{0}}=\sqrt{\frac{T}{273+0 }}

 

Or T = 2457K = 2184^{\circ}C 

Posted by

infoexpert24

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