The velocity of sound in oxygen at 30 °C is 330 m/sec. What is the velocity of sound in m/sec in helium at the same temperature?

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Answer 1 · 2017-12-28T09:27:41

The speed of sound in Helium is #=1022ms^-1#

The speed of sound in a gas is

#v=sqrt((gamma*R*T)/(M))#

The speed of sound is #=vms^-1#

The heat capacity ratio is #=gamma#

The gas constant is #=R=8.314J"mol"^(-1)K^-1#

The Molecular weight of Helium is #=M=0.004kg#

The temperature is #=T=273+30=303K#

For Helium #gamma=1.66#

Therefore,

#v_(He)=sqrt((1.66*8.314*303)/(0.004))#

#=1022ms^-1#

According to the tables,

The speed of sound in Helium is #>1000ms^-1#