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How is it possible for a sample of O2 gas and CO2 gas to have the...

How is it possible for a sample of O2 gas and CO2 gas to have the same Kinetic Energy average and Root Mean Square Velocity?

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Answer #1

Average kinetic energy of gaseous molecule is given by

K.E. = 3/2(RT)

It means kinetic energy depands only on temperature so at a given temperature kinetic energy of oxygen and carbon di-oxide gas is same.

Root mean square velocity depands on temperature and molecular weight of gas so if ratio of temperature/molecular weight of these two gas is equal than root mean square velocity will be same because

V(RMS) = (3RT/M)^1/2

So if T/M is same for oxygen and carbon dioxide than root mean square velocity of these two gas will be same.

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