Question

At normal temperature and pressur, 4g of He occupies a volume of 22.4 litre. Determine the speed of sound in helium. Take 1 atmospheric pressure `=10^(5)N//m^(2)` and `gamma` for helium `=1.67`.

Answer 1

Here, `P=1atm=10^(5)N//m^(2),`
`V=22.4litre=22.4xx10^(-3)m^(3)`
`v=sqrt((gammP)/(rho))=sqrt((gammaP)/(M//V))=sqrt((1.67xx10^(5))/(4xx10^(-3)//22.4xx10^(-3)))`
`=sqrt((1.67xx10^(5)xx22.4)/(4))=967m//s`