Levels Tought:
Elementary,Middle School,High School,College,University,PHD
Teaching Since: | Apr 2017 |
Last Sign in: | 363 Weeks Ago, 1 Day Ago |
Questions Answered: | 402 |
Tutorials Posted: | 401 |
MSC,MBA(IT)
Standford
Jun-1997 - Sep-2000
IT Manager
Honeywell
Aug-2001 - Present
(a) Consider a fluid that obeys the hydrostatic relation @p @z ? ??g: Suppose also that the fluid is an isothermal ideal gas. Show that the density and pressure both diminish exponentially with height. What is the e-folding height? (This is also called the ‘scale height’ of the atmosphere.) Write down an expression for the height, z, as a function of pressure. (b) Now suppose that the atmosphere has a uniform lapse rate (i.e., dT=dz ? ???? ? constant. Show that the height at a pressure p is given by z ? T0 ?? 2 41 ?? p0 p !??R?? =g 3 5 where T0 is the temperature at z ? 0. (c) Are the answers you obtained in these two parts consistent in the appropriate limit? Explain.
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