One mole of argon gas is confined to a 0.8-liter container at a pressure of 9 at

Question

One mole of argon gas is confined to a 0.8-liter container at a pressure of 9 atm. (a) What is the rms speed of the argonatoms?
1 km/s

(b) Compare your answer to the rms speed for helium atoms under thesame conditions.
2 Therms speed of argon atoms is slightly less than half the rms speedof helium atoms. The rms speed of argon atoms is slightlyless than one third the rms speed of heliumatoms.     Therms speed of argon atoms is equal to the rms speed of heliumatoms (a) What is the rms speed of the argonatoms?
1 km/s

(b) Compare your answer to the rms speed for helium atoms under thesame conditions.
2 Therms speed of argon atoms is slightly less than half the rms speedof helium atoms. The rms speed of argon atoms is slightlyless than one third the rms speed of heliumatoms.     Therms speed of argon atoms is equal to the rms speed of heliumatoms 2 Therms speed of argon atoms is slightly less than half the rms speedof helium atoms. The rms speed of argon atoms is slightlyless than one third the rms speed of heliumatoms.     Therms speed of argon atoms is equal to the rms speed of heliumatoms 2 Therms speed of argon atoms is slightly less than half the rms speedof helium atoms. The rms speed of argon atoms is slightlyless than one third the rms speed of heliumatoms.     Therms speed of argon atoms is equal to the rms speed of heliumatoms 2

Explanation / Answer

a) n = 1 mole, V = 0.8 L, P = 9 atm, R = 0.082 atm-L/mol-K = 8.31J/mol-K, argon M = 39.9 g/mol PV = nRT T = PV/nR = 538 K the rms speed v = (3RT/M) = (3*8.31*538/0.0399) = 580m/s b) helium, M = 4 g/mol, v = 1831 m/s so answer: The rms speed of argon atomsis slightly less than one third the rms speed of heliumatoms.

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