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A cylinder consists of a gas mixture of helium and oxygen. If the mass of helium is 4 ~g and the mass of oxygen is 32 ~g , then the ratio of specific heat of the mixture (C_p / C_V )

Options

  1. A2/3
  2. B3/2
  3. C1/2
  4. D1/3

Correct answer

B. 3/2

Step-by-step solution

Mass of helium, m_ He =4 ~g Mass of oxygen, m_ O =32 ~g Helium is a monoatomic gas. Degrees of freedom, f₁=3 Oxygen is a diatomic gas. Degrees of freedom, f₂=54 ~g helium contains N₁=N_A=6.023 10²³ number of molecules 32 ~g oxygen contains N₂=N_A number of molecules. (As atomic mass of oxygen is 16 ~g ) aligned C_p C_V & = & = N₁ (2+f₁ )+N₂ (2+f₂ ) N₁ f₁+N₂ f₂ & = N_A(2+3)+N_A(2+5) 3 N_A+5 N_A & = 5+7 3+5 = 12 8 = 3 2 aligned

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