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Question

Question: A polyatomic gas with n degrees of freedom has a mean energy per molecule given by...

A polyatomic gas with n degrees of freedom has a mean energy per molecule given by

A

nkTN\frac{nkT}{N}

B

nkT2N\frac{nkT}{2N}

C

nkT2\frac{nkT}{2}

D

3kT2\frac{3kT}{2}

(N is Avogadro's number)

Answer

nkT2\frac{nkT}{2}

Explanation

Solution

Mean kinetic energy per molecule E=f2kT=n2kTE = \frac{f}{2}kT = \frac{n}{2}kT