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TS EAMCET · Physics · Kinetic Theory of Gases

A vessel contains hydrogen and nitrogen gases in the ratio \(2: 3\) by mass. If the temperature of the mixture of the gases is \(30^{\circ} \mathrm{C}\), then the ratio of the average kinetic energies per molecule of hydrogen and nitrogen gases is (Molecular mass of hydrogen \(=2\) and molecular mass of nitrogen \(=28\) )

  1. A 3:7
  2. B 2:3
  3. C 1:1
  4. D 1:14
Verified Solution

Answer & Solution

Correct Answer

(C) 1:1

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { } \mathrm{m}_{\mathrm{H}_2}=\mathrm{m}_{\mathrm{N}_2}=2: 3, \mathrm{~T}_{\text {mixture }}=\mathrm{T}_{\mathrm{H}_2}=\mathrm{T}_{\mathrm{N}_2}=30^{\circ} \mathrm{C} \\ & \therefore \lt \mathrm{KE}\gt/ \text { molecule }=\frac{\mathrm{f}}{2}…