A container of nitrogen (an ideal diatomic gas, molecular weight=28) is at a pressure of 2 atm and has a mass density of 1.5 grams per liter

Question

A container of nitrogen (an ideal diatomic gas, molecular weight=28) is at a pressure of 2 atm and has a mass density of 1.5 grams per liter. What is the typical speed of the nitrogen molecules in the container? What is the root-mean-square velocity (vrms) of the center of mass of one of the molecules?

vrms =

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Farah 3 days 2021-07-19T21:14:10+00:00 1 Answers 1 views 0

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    2021-07-19T21:15:22+00:00

    Answer:

    572m/s

    Explanation:

    Vrms=√(3RT/m)

    Were R = 8.314

    M molecular weight= 28g/mol= 0.028kg/mol

    T in temperature

    Recall PV=mRT

    Also P*Density/R=T

    T= 2*1.5/0.0821=367K

    Vrms=√(3*8.314*367/0.028)=572m/s

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