Question

Two gas cylinders are identical. One contains the monatomic gas argon (Ar), and the other contains...

Two gas cylinders are identical. One contains the monatomic gas argon (Ar), and the other contains an equal mass of the monatomic gas xenon (Xe). The pressures in the cylinders are the same, but the temperatures are different. Determine the ratio KEAvg,xenon / KEAvg,argon of the average kinetic energy of a xenon atom to the average kinetic energy of a argon atom.

KEAvg,xenon / KEAvg,argon = ____

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Answer #1

By kinetic theory of gases, Since pressure is the same then Average KE of a mono atomic gas per atom will be 3/2 KT. where K is boltzmann's constant.

So the ratio of average KE of krypton atom to that of Argon atom will be the ratio of the temperatures of the gases.
Hence KE of Xenon/KE of argon = (T of Xenon)/( T of argon)

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