The highest building in Montreal is the '1 square building, with a height of 203m.The atmospheric pressure in the streets of Montreal is P1 = 9.9 x 104 Pa.Suppose air density is constant : Pair = 1,2 kg/m³ and g = 9.8 m/s?.a. Find the pressure difference between the streets and the rooftop of the '1 square building'b. Find the pressure on the rooftop.Suppose the rooftop temperature to be T = 298K, and the air composition is 100% N2 molecules.*c. Find the root-mean-square speed (Vms ).*d. How would you find the probability for a molecule picked randomly to have a speed in the range vrms andVrms+5.0 m/s. (No calculations needed)*e. Find the ratio between the most probable speed (vmp) and the mean speed (vmean).The collision cross-section of N2 molecules is 0.43 nm?.*f. Find the collision frequency. Is it in the order of magnitude that you were expecting?Now, consider Earth's atmosphere as 80% N2 and 20% 02. (No calculations needed)*g. Explain if larger, smaller, or equal to the previous situation:- Ratio Vmp/Vmean- The rms speed Vrms- Probability to find a molecule at a speed between vrms and vrms+5.0 m/s.- Collision frequency.

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