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Q. What is the ratio of the total energy of all the molecules of one mole of $O _{2}$ to the total energy of all the molecules of two moles of helium at the same temperature?

Kinetic Theory

Solution:

$\frac{E_{1}}{E_{2}}=\frac{N \times \frac{3}{2} k T}{2 N \times \frac{3}{2} k T}$
$=\frac{1}{2}$