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TS EAMCET · Physics · Kinetic Theory of Gases

A polyatomic gas has \(f\) vibrational degrees of freedom, then the ratio of the specific heat at constant pressure to that at constant volume will be

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

Answer & Solution

Correct Answer

(A) \(\frac{4+f}{3+f}\)

Step-by-step Solution

Detailed explanation

For a polyatomic atom value of specific heat at constant volume, \(C_V=(3+f) R\) where, \(f=\) vibration degree of freedom and \(R=\) gas constant. Now, \[ \begin{aligned} & C_p=C_V+R \\ & C_p=(3+f) R+R \\ & C_p=(4+f) R \end{aligned} \] Now, ratio of \(C_p\) and \(C_V\)…
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