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 10ª Pa. Suppose air density is constant : Pair = 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 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.

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 10ª Pa. Suppose air density is constant : Pair = 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 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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 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 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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