(Solved): A container of nitrogen (an ideal diatomic gas, molecular weight \( =28 \) ) is at a pressure of 2 ...

A container of nitrogen (an ideal diatomic gas, molecular weight \( =28 \) ) is at a pressure of 2 atm and has a mass density of \( 1.7 \) grams per liter. What is the typical speed of the nitrogen molecules in the container? What is the root-mean-square velocity \( \left(v_{\text {rms }}\right) \) of the center of mass of one of the molecules? \[ \mathrm{v}_{\mathrm{rms}}= \] \[ 1 \mathrm{~m} / \mathrm{s} \]