The average energy per molecule of a triatomic gas at room temperature T is?

3 k T

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\frac{1}{2} k T

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\frac{3}{2} k T

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\frac{5}{2} k T

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Solution

The correct option is A $3 k T$
A triatomic (non-linear) gas molecule has $6$ degrees of freedom ( $3$ translational, $3$ rotational and no vibrational) at room temperature.
According to the law of equipartition of energy, the average energy per molecule of a triatomic gas at room temperature T is
$¯ E = \frac{1}{2} f K T = \frac{1}{2} 6 K T = 3 K T$

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