Translational Kinetic Energy Ratio – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

A flask contains hydrogen and oxygen gas in the ratio of 3 : 1 by mass at temperature 27°C. The ratio of average translational kinetic energy per molecule of hydrogen and oxygen respectively is
1 : 1
3 : 1
1 : 3
1 : 4

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:

The average translational kinetic energy per molecule of any gas is given by \(\frac{3}{2} k_B T\). Since both gases are at the same temperature, the ratio of their translational kinetic energies is 1 : 1.

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