(Answered) Question assume you can prove that for our simple atomic

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Question: Assume you can prove that for our simple atomic model of an ideal gas the pressure P = 1/3 ρ² , where ρ is the density of the gas and ², is the average of the square of the velocity of the gas molecules.

a. Use the ideal gas law to derive a relation between the temperature of this gas (measured in kelvins) and the average kinetic energy of a gas molecule.

b. If the gas is helium (M = 4u), what is the value of the average kinetic energy of a helium atom at room temperature?

c. If the gas consisted of oxygen molecules (M = 32), what would be the average kinetic energy of a molecule at room temperature? Explain your answer.

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