At NTP the density of a gas is $ 1.3 \mathrm{~kg} / \mathrm{m}^{3} $ and the velocity of sound propagation in the gas is $ 330 \mathrm{~m} / \mathrm{s} $. The degree of freedom of gas molecule is-

Question

At NTP the density of a gas is $ 1.3 \mathrm{~kg} / \mathrm{m}^{3} $ and the velocity of sound propagation in the gas is $ 330 \mathrm{~m} / \mathrm{s} $. The degree of freedom of gas molecule is-, $ 3 $, $ 5 $, $ 6 $, $ 7 $

MARKS App · Accepted Answer

V = γ P ρ 330 = γ × 1 × 10 5 1.3 33 2 × 100 × 1.3 1 × 10 5 = γ 1.089 × 10 3 × 10 2 × 1.3 1 × 10 5 = γ 2 f + 1 = γ = 1.4 = 7 5 2 f = 2 5 f = 5

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