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At NTP the density of a gas is 1.3 kg/m 3 and the velocity of sound propagation in the gas is 330 m/s. The degree of freedom of gas molecule is-

Options

  1. A3
  2. B5
  3. C6
  4. D7

Correct answer

B. 5

Step-by-step solution

V = γ P ρ 3 3 0 = γ × 1 × 1 0 5 1.3 3 3 2 × 1 0 0 × 1.3 1 × 1 0 5 = γ 1.089 × 1 0 3 × 1 0 2 × 1.3 1 × 1 0 5 = γ 2 f + 1 = γ = 1.4 = 7 5 2 f = 2 5 f = 5

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