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At SPT, The speed of sound in hydrogen i...

At SPT, The speed of sound in hydrogen is 1324 m/s then the speed of sound in air

A

331 m/s

B

220 m/s

C

340 m/s

D

230 m/s

Text Solution

Verified by Experts

The correct Answer is:
A
Molecular weight of hydrogen = 2
Molecular weigh of oxygen = 32
Both are diatomic `v_(air)=sqrt(((gamma_(air)P_(air))/(p_(air)))),v_(H)=sqrt((gamma_(H)P_(H))/(P_(H)))`
`(P_(air))/(p_(H))=(M_(air))/(M_(H))=(32)/(2)=16/1`
`(v_(air))/(v_(H))=sqrt(((gamma_(air)Pp_(H))/(gamma_(H)Pp_(air))))rArr(v_(air))/(1324)=sqrt(((P_(H))/(P_(air))))`
`" "v_(air)=(1324)/4=331 m//s`
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