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Let 'n' be the degree of freedom γ = Cp / Cv = (n/2 + 1) R / (n/2) R = (1 + 2/n)

  1. Cp = (n/2 + 1) R
  2. Cv = (n/2) R
  3. γ = Cp / Cv
  4. γ = (1 + 2/n)

Correct answer: γ = (1 + 2/n)

Solution

The given equation γ = (1 + 2/n) directly matches option D, which is the expression for the ratio of specific heats in terms of degrees of freedom.

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