he 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 : ρair = 1,2 kg/m3 and g = 9.8 m/s2. a. Find the pressure difference between the streets and the roofto
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 : ρair = 1,2 kg/m3 and g = 9.8 m/s2.
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 (vrms ).
*d. How would you find the probability for a molecule picked randomly to have a speed in the range vrms and vrms+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 nm2.
*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% O2. (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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