When the temperature in the air is 50°C, the velocity of a sound wave traveling through the air is approximately

A. 381 m/s

B. 30 m/s

C. 50 m/s

D. 361 m/s

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.