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One mole of gas having γ = 7 / 5 is mixed with 1 mole of a gas having γ = 4 / 3 . What will be the γ for the mixture?

Options

  1. A1 5 1 1
  2. B5 1 3
  3. C5 1 1
  4. D1 5 1 3

Correct answer

A. 1 5 1 1

Step-by-step solution

For γ = 7 5 , C v = R γ - 1 = R 7 5 - 1 = 5 R 2 C p = γ R γ - 1 = 7 / 5 R 7 5 - 1 = 7 R 2 For γ = 4 3 ,   C v = 3 R ,   C p = 4 R ∴    γ mix = 7 2 + 4 5 2 + 3 = 1 5 1 1

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