Question

if the sound of speed is 330m/s at 0degree C , find the speed of sound at 15degree C​

Answer 1

Answer:

Explanation:

The speed of sound in an ideal gas is proportional to the speed of its molecules, which in turn is proportional to the square root of the average kinetic energy of its molecules because kinetic energy =  1/2 mv21/2 mv2. The kinetic energy of the molecules is proportional to the temperature in K (degrees Kelvin), so the speed of sound in air is roughly proportional to the square root of the temperature in K. That gives the approximate formula  vsound=330(TC+273.15)/373.15−−−−−−−−−−−−−−−−−√vsound=330(TC+273.15)/373.15  m/s, where  TCTC  is the temperature in degrees Centigrade, and adding 273.15 converts it to degrees K.