First slide

Kinetic theory of ideal gases

Question

Hydrogen and Oxygen gases at the same temperature have

Easy

A

Same average translational kinetic energy
B

Same average translational momentum
C

Same average translational velocity
D

All of these

Solution

Average translational kinetic energy for any gas = $\frac{3}{2} k T$ (independent of type of gas).
Average translational momentum = (mass molecule)(average velocity)
$= (m a s s o f m o l e c u l e) (\sqrt{\frac{2 k T}{m a s s o f m o l e c u l e}}) = \sqrt{2 k T (m a s s o f m o l e c u l e)}$

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