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Helium atoms have a mass of and oxygen molecules have a mass of , where is defin

ID: 2237073 • Letter: H

Question

Helium atoms have a mass of and oxygen molecules have a mass of , where is defined as an atomic mass unit (). Compare a gas of helium atoms to a gas of oxygen molecules. Part A At what gas temperature would the average translational kinetic energy of a helium atom be equal to that of an oxygen molecule in a gas of temperature 300 K? Express the temperature numerically in kelvins. Part B At what gas temperature would the root-mean-square (rms) speed of a helium atom be equal to that of an oxygen molecule in a gas at 300 K? State your answer numerically, in kelvins, to the nearest integer.

Explanation / Answer

please tell mass The average translational kinetic energy of each molecule is (3/2)*k*T, where k = Boltzmann's constant. v rms = ?[(3 x R x T) / (MW)] where, v rms = root mean square of velocity MW = molecular weight R = molar gas constant T = temperature in Kelvin

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