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The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is

Options

  1. A2 7
  2. B1 7
  3. C3 5
  4. D6 5

Correct answer

C. 3 5

Step-by-step solution

Speed of sound in an ideal gas is given by v = γ R T M ∴    v ∝ γ M [ T is same for both the gases] γ N 2 = 7 5 (Diatomic) γ He = 5 3 (Monoatomic) ∴    v N 2 v He = γ N 2 γ He · M He M N 2 = 7 / 5 5 / 3 4 2 8 = 3 5

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