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Root Mean Square Speed

E0 and Eh res...

Question

$E_{0} a n d E_{h}$ respectively represent the average kinetic energy of a molecule of oxygen and hydrogen. If the two gases are at the same temperature, which of the following statements is true?

A

$E_{0} > E_{h}$

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B

$E_{0} = E_{h}$

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C

$E_{0} < E_{h}$

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D

Nothing can be said about the magnitude of $E_{0} a n d E_{h}$ as the information given is insufficient.

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Solution

The correct option is B
$E_{0} = E_{h}$

The average kinetic energy of molecule = $\frac{1}{2} k T$ which is independent of the molecular mass. Hence, the correct choice is (b).

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