If one mole of the polyatomic

Question:

If one mole of the polyatomic gas is having two vibrational modes and $\beta$ is the ratio of molar specific heats for polyatomic gas $\left(\beta=\frac{C_{P}}{C_{V}}\right)$ then the value of $\beta$ is :

  1. $1.02$

  2. $1.2$

  3. $1.25$

  4. $1.35$


Correct Option: , 2

Solution:

(2) $f=4+3+3=10$

assuming non linear

$\beta=\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=1+\frac{2}{\mathrm{f}}=\frac{12}{10}=1.2$

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