Velocity of a sound wave travelling through air at temperature T is given by,
V=√γRT/M
where, γ is adiabatic constant=1.4
R is universal constant = 8.314 J/mol K
M= molecular weight of gas in kg/mol= 0.2895
T= temperature= 50°C= 323.15 K
Velocity of sound = \sqrt{\frac{1.4(8.134)(323.15)}{0.2895}} [/tex]
= 360.45 m/s
Therefore, velocity of the sound wave travelling through the air at 50°C is approximately 361 m/s.
