Cakulate the time rate of change of air density during expiration Assume that the lung(Fig. 3.11) has a total volume of 6000 ml, the diameter of the trachea is 18 mm, the airflowvelocity out of the trachea is 20 cm/s, and the density of air is 1.225 kg/m. Also assume thatlung volume is decreasing at a rate of 100 mL/s.Hello sir, I want the samesolution, but in a detailedway and mention his data, aquestion, and a solution indetailing mathematicswithout words.SolutionWe will start from Eq. (3.24) because we are asked for the time rate of change of density. Weare asked to find the time rate of change of air density; this suggests that Example 3.5 condistions are representing a nonsteady flow scenario. In addition, we were told what the rate ofchange in the lung volume is during this procedure, further supporting the use of Eq. (3.24).pdV+(3.24amsAssume that at the instant in time that we are measuring the system, density is uniformwithin the volume of interest. This allows us to remove density from within the first integralSince no information was provided about how density varies within the volume, we would beunable to solve this problem without making the assumption.= 0amuThe volume integral of the volume of interest is just the volume of interest. Therefore, Eq(3.24) can be represented aso = v2d+ (19if we also assume that the density and velocity are not functions of the outflow area of interest(the second integral obtains a positive solution because we are representing an outflow velocityand this velocity aligns with the area vector). Using the product ruleavat+p=-pASolving this equation with the known values-vgd-dt(18 mm|125 (20)(지|ml-100-cm1.225-0.01m's26000 mL

Given Density, ρ = 1.225 kg/m3 Velocity, v = 20 cm / s = 0.2 m/s Diameter,…

Cakulate the time rate of change of air density during expiration. Assume that the lu ig 3.11) has a total volume of 6000 ml, the diameter of the trachea is 18 mm, the airflo locity out of the trachea is 20 cm/s, and the density of air is 1.225 kg/m. Also assume th ng volume is decreasing at a rate of 100 mL/s.

Cakulate the time rate of change of air density during expiration. Assume that the lu ig 3.11) has a total volume of 6000 ml, the diameter of the trachea is 18 mm, the airflo locity out of the trachea is 20 cm/s, and the density of air is 1.225 kg/m. Also assume th ng volume is decreasing at a rate of 100 mL/s.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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