Q23 of 36 Page 109

At what temperatures (in ° C) will the speed of sound in air be 3 times its value at 0°C?

Given:


Initial temperature of air = 0° C = 273.15 K


We know that the speed of sound in air is given by the equation,



where γ is the ratio of specific heat at constant pressure to specific heat at constant volume for air, R is the universal gas constant, T is temperature and M is the mass of the gas. Keeping everything constant except temperature,



Let the velocity of sound in air at 0° C be v0 and the velocity at temperature T be vt, then



When vt=3v0





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