# if the speed of sound in helium at 0 degree celsius be 960m/s then what will be the speed in hydrogen at the same temperature given gamma for h2 is 1.40 and helium is 1.67 and the ratio of their molecular masses is 2:1.

Khimraj
3007 Points
3 years ago
speed
Khimraj
3007 Points
3 years ago
speed of sound = $\sqrt{\gamma RT/M}$
v1/v2 = $\sqrt{\gamma_{1} M_{2}/\gamma_{2}M_{1}}$
960/v2 = $\sqrt{1.4*2/1.67*1}$
v2 = 960/1.3
v2 = 738.46 m/s
Hope it clears.