KTGEasy
Question
A vessel contains a mixture of one mole of oxygen and two mole of nitrogen at 300 K. The ratio of the average rotational kinetic energy per O2 molecule to per N2 molecule is
Options
A.1 : 1
B.1 : 2
C.2 : 1
D.depends on the moment of inertia of the two molecules.
Solution
Average kinetic energy per molecule per degree of frrdom = 
kT . Since, both the gasesare diatomic and at same temperature (300 K), both will have same number of rotational degree of freedom i.e., two. Therefore, both the gases will have the same average rotational kinetic energy per molecule
= 2 ×kT or kT
Thus, ratio will be 1 : 1.
kT . Since, both the gasesare diatomic and at same temperature (300 K), both will have same number of rotational degree of freedom i.e., two. Therefore, both the gases will have the same average rotational kinetic energy per molecule = 2 ×
kT or kTThus, ratio will be 1 : 1.
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