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Question

Question: Pressure of a gas at constant volume is proportional to...

Pressure of a gas at constant volume is proportional to

A

Total internal energy of the gas

B

Average kinetic energy of the molecules

C

Average potential energy of the molecules

D

Total energy of the gas

Answer

Total internal energy of the gas

Explanation

Solution

Pressure, P=13MVv2rms=23EP = \frac{1}{3}\frac{M}{V}{v^{2}}_{rms} = \frac{2}{3}E

Here, E=12Mv2rmsE = \frac{1}{2}M{v^{2}}_{rms} is total internal energy of the gas.