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The value of adiabatic constant gamma fo...

The value of adiabatic constant `gamma` for oxygen and nitrogen is same. The speed of sound in oxygen is 470 m/s at STP. The speed of sound in nitrogen at STP is

A

340 m/s

B

580 m/s

C

502 m/s

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`c=sqrt(((gammaRT)/(M)))`
`therefore (c_(2))/(c_(1))=sqrt(((M_(1))/(M_(2))))or (C_("nitrogen"))/(C_("oxygen"))=sqrt(((32)/(28)))=sqrt((8/7))`
`because" "C_("nitrogen")=sqrt((8/7))C_("oxygen")=sqrt((8/7))xx470`
`" "=502.45m//s ~~502m//s`
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