College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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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 (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% 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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Transcribed Image Text: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 (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% 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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