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A flask contains hydrogen and oxygen in the ratio of 2:1 by mass at temperature 27∘C. The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is :

Question

A flask contains hydrogen and oxygen in the ratio of 2:1 by mass at temperature 27∘C. The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is :

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Solution

The average kinetic energy of a gas molecule is given by the equation KE = 3/2 kT, where k is Boltzmann's constant and T is the temperature in Kelvin.

In this case, the temperature is the same for both hydrogen and oxygen, so the average kinetic energy per molecule for each gas is the same. Therefore, the ratio of average kinetic energy per molecule of hydrogen to oxygen is 1:1.

This is because the kinetic energy of a gas molecule is dependent only on the temperature, not on the mass or type of the gas.

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