In a mixture of gases, the average number of degree of freedoms per molecule is 6 . The rms speed of the molecule of the gas is c , then the velocity of sound in the gas is

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( v rms ​ = M 3 RT ​ ​ and v sound ​ = M γ RT ​ ​ v rms ​ v sound ​ ​ = 3 γ ​ ​ Degree of freedom is 6 . ∴ ∴ ​ γ = 1 + f 2 ​ = 1 + 6 2 ​ = 3 4 ​ v sound ​ = 3 4/3 ​ ​ v rms ​ = 3 2 ​ v rms ​ = 3 2 c ​ ​

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