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Question

Chemistry Question on States of matter

According to kinetic theory of gases, for a diatomic molecule

A

the pressure exerted by the gas is proportional to mean velocity of the molecule

B

the pressure exerted by the gas is proportional to the root mean velocity of the molecule

C

the root mean square velocity of the molecule is inversely proportional to the temperature

D

the mean translational kinetic energy of the molecule is proportional to the absolute temperature

Answer

the mean translational kinetic energy of the molecule is proportional to the absolute temperature

Explanation

Solution

The mean translational kinetic energy ()(\in) of an ideal gas is
=32kBT;T=\in =\frac{3}{2}k_B T ;T= Absolute temperature, i.e ?T\in ? T