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Calculate the speed of sound in hydrogen...

Calculate the speed of sound in hydrogen at N.T.P., if density of hydrogen at N.T.P. is `1//16^(th)` of air. Given that the speed of sound in air is 332 m/s.

Text Solution

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Speed of sound in air is given by
`v_(a)=sqrt((gammaP)/(rho_(a)))`
Speed of sound in hydrogen is
`V_(H)=sqrt((gammaP)/(rho_(H)))`
`because` For air as well as hydrogen `=gamma=1.40`
`therefore(V_(H))/(V_(a))=sqrt((rho_(a))/(rho_(H)))=sqrt(16)`
`impliesV_(H)=4V_(a)`
`=4xx332`
`=1328m//s`
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