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JEE Main levelSingle correct optionDifficulty 2 of 3td188

A non-linear polyatomic ideal gas has three translational and three rotational degrees of freedom and no vibrational contribution. Its $γ = C_{P} / C_{V}$ is

A $\frac{5}{3}$
B $\frac{7}{5}$
C $\frac{9}{7}$
D $\frac{4}{3}$

Answer: D

Each quadratic degree of freedom contributes

R /2

to

C_{V}

, so

C_{V} = 6 \times R /2 = 3 R

. Then

C_{P} = 4 R

and

γ = 4/3

.

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