Consider a gas of triatomic molecules. The molecules are assumed to be triangular and made of massless rigid rods whose vertices are occupied by atoms. The internal energy of a mole of the gas at temperature T is :

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$3 R T$

$\frac{3}{2} R T$

$\frac{9}{2} R T$

$\frac{5}{2} R T$

answer is C.

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Detailed Solution

Degrees of freedom for a non linear triatomic molecule = Three Translation + Three Rotation = 6

(or) f=3A-B=3(3)-3=6 A=no. of atoms and B= no of restrictions

$U = \frac{f}{2} R T = \frac{6}{2} R T = 3 R T$

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