Question
Derive the relation between velocity of sound V in gas and rms velocity v of gas
Solution
According to kinetic theory of gases,
∴
...(1)
Also the velocity of sound in gas is given by,
...(2)
From (1) and (2),
This expression gives us the relationship between the velocity of sound in gas and rms velocity of gas.

∴

Also the velocity of sound in gas is given by,
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From (1) and (2),
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This expression gives us the relationship between the velocity of sound in gas and rms velocity of gas.