A box is divided into four equal-sized quadrants. Each quadrant contains gaseous hexane (left(mathrm{C}_{6} mathrm{H}_{14} ight)), which we treat as monatomic. The partition that separates

A box is divided into four equal-sized quadrants. Each quadrant contains gaseous hexane \(\left(\mathrm{C}_{6} \mathrm{H}_{14}\right)\), which we treat as monatomic. The partition that separates the quadrants allows energy to be exchanged, but not particles. However, there is a tiny hole in the partition between quadrants 1 and 2 that allows gas particles to be exchanged. The initial values for the mass of gas in each quadrant and the root-meansquare speed of the particles are \(Q_{1}: 3. 00 \mathrm{~g}, 400 \mathrm{~m} / \mathrm{s}\); \(\mathrm{Q}_{2}: 5. 50 \mathrm{~g}, 500 \mathrm{~m} / \mathrm{s} ; \mathrm{Q}_{3}: 2. 00 \mathrm{~g}, 420 \mathrm{~m} / \mathrm{s} ; \mathrm{Q}_{4}: 6. 75 \mathrm{~g}\), \(445 \mathrm{~m} / \mathrm{s}\). After the system sits for a long time interval, what is the root-mean-square speed for the particles in quadrant 2 ?