Question

The velocity of sound in air at 270C is 340 ms-1. Calculate the velocity of sound at 3270C.    ​

Answer 1

Given

velocity of sound at a temperature of 270 degree Celsius, C = 340 m/s

To determine velocity of sound at a temperature of 327 degree Celsius

We can relate velocity of sound with temperature by the relation

C =√{(γRT)/M}

Where γ = constant =1.4

R= universal gas constant=8.314 J  

M= Molar mass of gas.

So we can say that speed of sound is directly proportional to the square root of temperature.

C =k√T=k√(327)

C=18.08 k

where k = proportionality constant √{(γR)/M}