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Question: A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of t...

A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per O2 molecule to that per N2 molecule is –

A

1 : 1

B

1 : 2

C

2 : 1

D

Depends on the moments of inertia of the two molecules

Answer

1 : 1

Explanation

Solution

f1 = f2 = 2 ; E1E2=f1f2×N1N2×T1T2\frac{E_{1}}{E_{2}} = \frac{f_{1}}{f_{2}} \times \frac{N_{1}}{N_{2}} \times \frac{T_{1}}{T_{2}} = 1 : 1