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JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases

A gas has \(n\) degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be.

  1. A \(\frac{n}{n+2}\)
  2. B \(\frac{ n +2}{ n }\)
  3. C \(\frac{n}{2 n+2}\)
  4. D \(\frac{ n }{ n -2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{n}{n+2}\)

Step-by-step Solution

Detailed explanation

\(C _{ v }=\frac{ nR }{2} \quad C _{ p }=\frac{( n +2) R }{2}\) \(\frac{ C _{v}}{ C _{ p }}=\frac{ n }{ n +2}\)
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