Under standard conditions, the density of a gas is 1.3 mg cm - 3 and the velocity of propagation of sound, in it, is 330 m s - 1 . The number of degrees of freedom of gas is

Question

Under standard conditions, the density of a gas is 1.3 mg cm - 3 and the velocity of propagation of sound, in it, is 330 m s - 1 . The number of degrees of freedom of gas is,

MARKS App · Accepted Answer

V s o u n d = γ P ρ and γ = 1 + 2 f ∴ 1 + 2 f = v s o u n d 2 × ρ P 1 + 2 f = ( 330 ) 2 × ( 1 . 3 ) 1 . 01 × 10 5 1 + 2 f = 1 . 40 f = 5

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