First slide

Rms speed

Question

Oxygen is 16 times heavier than hydrogen .If mean Kinetic energy of Oxygen molecules at a certain temperature is E, then the mean Kinetic energy of hydrogen molecules at the same temperature is

Easy

A

$\frac{E}{4}$
B

4E
C

E
D

$\frac{E}{16}$

Solution

We know that
Mean Kinetic energy = $\frac{3}{2}$ K_BT
Mean time energy $\propto$ T
It is independent of mass. Since the temperature is same in case of Oxygen and hydrogen, the mean kinetic energy of the Oxygen and hydrogen molecules is same at the same temperature

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