A flask contains Hydrogen and Argon in the ratio 2 : 1 by mass. The temperature of the mixture is 30 ° C . The ratio of average kinetic energy per molecule of the two gases K argon K hydrogen is: (Giv

Question

A flask contains Hydrogen and Argon in the ratio 2 : 1 by mass. The temperature of the mixture is 30 ° C . The ratio of average kinetic energy per molecule of the two gases K argon K hydrogen is: (Given : Atomic Weight of A r = 39 . 9 )

TestHub · Accepted Answer

The formula to calculate the average kinetic energy per molecule of a gas at any temperature $T$ is given by
$K_{avg} = \frac{3}{2} k_{B} T$
where, $k_{B}$ is Boltzmann constant.
From above equation, it can be concluded that the average kinetic energy per molecule is independent of the molecular weight of the gas.
Hence, the required ratio is $1 : 1$ .

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