Define atmospheric energy - thermodynamics, Physics

Assignment Help:

Define Atmospheric Energy - thermodynamics?

The mass of the Earth's atmosphere, p(z), varies with height z above the Earth's surface. Assume that the "thickness" of the atmosphere is adequately small so that it is in a uniform gravitational field of strength g.

a) Write an equation to conclude the atmospheric pressure given the function p(z).

b) In a static atmosphere, each parcel of air has an internal energy ΔEi and a gravitational potential energy ΔEg. To a very good approximation, the air in  the atmosphere is an  ideal gas with constant specific heat. By means of this assumption, the result of part (a), and classical thermodynamics, shows that the total energy in a vertical column of atmosphere of cross-sectional area A is given by

474_Atmospheric Energy 1.png

And that the ratio of energies is

1843_Atmospheric Energy 2.png

Where T is the temperature, Po is the pressure at the Earth's surface, μ is the molar mass, Cp is the molar specific heat at constant pressure, and g≡Cp/Cv is the ratio of specific heats.

Hint: The above results do not depend on the specific way in which P(z), T(z), and p(z) vary as a function of z (e.g., isothermal, adiabatic, or something intermediate). They depend only on the fact that P(z) is monotonically decreasing. At a few step of the derivation you might find it useful to do integration by parts.


Related Discussions:- Define atmospheric energy - thermodynamics

Calculate energy lost - friction, The big hill on a roller-coaster ride is ...

The big hill on a roller-coaster ride is 91 m tall. If the mass of the roller-coaster car and its two riders is 314 kg and the maximum velocity reached by this roller-coaster r

Determine the magnitude and direction of the reaction, A load of P59 kN act...

A load of P59 kN acts at right angles to the beam AB.  The angle of the beam to a horizontal x axis at A is P60. The supports are a pin joint at A and a Rocker at B.  Determine the

What is spontaneous emission, What is spontaneous emission? Explain in brie...

What is spontaneous emission? Explain in brief. Spontaneous emission: a. This is the process by that a light source as like an atom, molecule, nano-crystal or nucleus into a

Define the density of lead, A fishing line's lead sinker has a volume of 1....

A fishing line's lead sinker has a volume of 1.40 x 10 -5 m 3 . The density of lead is 1.2 x 10 4 kg/m 3 . What is the apparent weight of the sinker when immersed in freshwat

Define the cylinders with massive piston, Define the Cylinders with Massive...

Define the Cylinders with Massive Piston? Assay moles of an ideal monatomic gas placed in a vertical cylinder. The top of the cylinder is blocked by a piston of mass M and cro

Laser, why we use he-ni laser light in michelson interferometer

why we use he-ni laser light in michelson interferometer

Axial position of chair or boat , Why bulky group present at axial position...

Why bulky group present at axial position of chair or boat conformer is less stable compared to equitorial position? Ans) Let the bulky group has a large mass M. suppose it is a

Evaluate the external-internal pressure difference, There is a maximum dept...

There is a maximum depth at which a diver can breathe through snorkel tube because as the depth increases, so does the pressure difference, tending to collapse the diver's lungs. S

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd