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  • If one mole of the polyatomic gas is having two vibrational modes and is the ratio of molar specific heats for polyatomic gas <img alt="\left ( \beta =\frac{C_{p}}{C_{v}} \right )" src="/latex-image/?%5Cl

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 :
 
Option: 1 1.2
Option: 2 1.35
Option: 3 1.25  
Option: 4 1.02

Answers (1)

best_answer

SInce the vibration modes = 2, so the D.O.F. = 2x2 = 4
Also there will be 3 rotational and 3 translational motion each.

\begin{aligned} &\text { } \mathrm{f}=4+3+3=10\\ &\text { assuming non linear }\\ &\beta=\frac{C_{p}}{C_{v}}=1+\frac{2}{f}=\frac{12}{10}=1.2 \end{aligned}

 

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Deependra Verma

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