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If at NTP, velocity of sound in a gas is...

If at NTP, velocity of sound in a gas is 1150 m/s, then find out the rms velocity of gas molecules at NTP. (Given R=8.3J/mol/K, `C_(P)=4.8` cal/mol/k).

A

1600m/s

B

1532.19m/s

C

160m/s

D

16m/s

Text Solution

Verified by Experts

The correct Answer is:
b
`R=(8.3)/(4.2)` cal/mol/k
`C_(v)=C_(p)-R=(4.8-(8.3)/(4.2))=2.824`
`gamma=(C_(p))/(C_(v))=(4.8)/(2.824)=169`
Since, `V=sqrt(((3)/(gamma))))V_(a)=1532.19m//s`
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