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Also use the expression to calculate the density ρ at z = 0 and z = 1000 m and Calculate the number of air molecules per m3 at z = 1000 m.

Also use the expression to calculate the density ρ at z = 0 and z = 1000 m and Calculate the number of air molecules per m3 at z = 1000 m.

Elements Of Electromagnetics
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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Determine an expression for dp/dz for an isothermal atmosphere at temperature To. Then use the expression to calculate dp/dz at z = 0 and dp/dz at z = 1000 m if To = 300 K. Also use the expression to calculate the density ρ at z = 0 and z = 1000 m and Calculate the number of air molecules per m3 at z = 1000 m.

Expert Solution
Step 1

For isothermal process boyles law is given as

P=kρ     ............ (1)

Where k=constant,

Let the pressure and density is a function of z only then there will be only pressure acting on the atmosphere is a gravitational force.

P=P(z)

ρ=ρ(z)

 

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