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Prove from first principles that for a polytropic atmosphere, the relation between the pressure at two different heights may be modelled using the following relation: P2 2(z2 – 2,)]RI 1 - P1 T1 where p - pressure T - absolute temperature z - altitude above mean sea level R- characteristic gas constant 1 - temperature lapse rate and suffixes 1 and 2 denote the two different altitudes.

Prove from first principles that for a polytropic atmosphere, the relation between the pressure at two different heights may be modelled using the following relation: P2 2(z2 – 2,)]RI 1 - P1 T1 where p - pressure T - absolute temperature z - altitude above mean sea level R- characteristic gas constant 1 - temperature lapse rate and suffixes 1 and 2 denote the two different altitudes.

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
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3. (a) Prove from first principles that for a polytropic atmosphere, the relation between the pressure at two different heights may be modelled using the following relation: P2 - 21 - P1 where p - pressure T- absolute temperature z - altitude above mean sea level R - characteristic gas constant 1 - temperature lapse rate and suffixes 1 and 2 denote the two different altitudes.
Transcribed Image Text:3. (a) Prove from first principles that for a polytropic atmosphere, the relation between the pressure at two different heights may be modelled using the following relation: P2 - 21 - P1 where p - pressure T- absolute temperature z - altitude above mean sea level R - characteristic gas constant 1 - temperature lapse rate and suffixes 1 and 2 denote the two different altitudes.
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