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Kinetic Theory of Gases

Two flask A...

Question

Two flask $A$ and $B$ of equal volumes maintained at temperature $300 K$ and $700 K$ contain equal mass of $H e (g)$ and $N_{3} (g)$ respectively. What is the ratio of total translational kinetic energy of gas in flask $A$ to the flask $B$ ?

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Solution

Total translational kinetic energy= $\frac{3}{2} K_{B} T$
$∴ K E \propto T$
$∴$ Ratio of kinetic energy of gas in A to that in B= $\frac{T_{A}}{T_{B}} = \frac{3}{7}$

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