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NATS 101 - 34
Lecture 2

Hurricane Dean & 2006 climate anomalies

Atmospheric Composition

Density, Pressure & Temperature

"http://www.ncdc.noaa.gov/oa/climate/research/2006/ann/ann06..."
http://www.ncdc.noaa.gov/oa/climate/research/2006/ann/ann06.html

Slide 4
Atmospheric Composition
Permanent Gases
N2 and O2 are most abundant gases
Percentages hold constant up to 80 km
Ar, Ne, He, and Xe are chemically inert
N2 and O2 are chemically active, removed & returned

Atmospheric Composition
Important Trace Gases
CO2 Trend
H2O Vapor Variability
Precipitable Water (mm)
Two Important Concepts
LetÕs introduce two new concepts...
Density
Pressure

What is Density?
Density (r) = Mass (M) per unit Volume (V)
      r = M/V
      r = Greek letter ÒrhoÓ
Typical Units: kg/m3, gm/cm3
Mass  =
  # molecules (mole) « molecular mass (gm/mole)
    Avogadro number (6.023x1023 molecules/mole)

Density Change
Density (r) changes by altering either
a) # molecules in a constant volume
b) volume occupied by the same # molecules

What is Pressure?
Pressure (p) = Force (F) per unit Area (A)
Typical Units: pounds per square inch (psi), millibars (mb), inches Hg
Average pressure at sea-level:
14.7 psi
1013 mb
29.92 in. Hg

Pressure
Can be thought of as weight of air above you.
(Note that pressure acts in all directions!)
So as elevation increases, pressure decreases.

Density and Pressure Variation
Key Points
Both decrease rapidly with height
Air is compressible, i.e. its density varies

Why rapid change with height?
Consider a spring with 10 kg bricks on top of it
The spring compresses a little more with each addition of a brick. The spring is compressible.

Why rapid change with height?
Now consider several 10 kg springs piled  on top of each other.
Topmost spring compresses the least!
Bottom spring compresses the most!
The total mass above you decreases rapidly w/height.

Why rapid change with height?
Finally, consider piled-up parcels of air, each with the same # molecules.
The bottom parcel is squished the most.
Its density is the highest.
Density decreases most rapidly at bottom.

Why rapid change with height?
Each parcel has the same mass (i.e. same number of molecules), so the height of a parcel represents the same change in pressure Dp.
Thus, pressure must decrease most rapidly near the bottom.

A Thinning Atmosphere
Pressure Decreases Exponentially with Height
Logarithmic Decrease
For each 16 km increase in altitude, pressure drops by factor of 10.
48 km - 1 mb     32 km - 10 mb 16 km - 100 mb                      0 km - 1000 mb

Water versus Air
Pressure variation in water acts more like bricks, close to incompressible, instead of like springs.

Equation for Pressure Variation
We can Quantify Pressure Change with Height

What is Pressure at 2.8 km?
(Summit of Mt. Lemmon)
Use Equation for Pressure Change

What is Pressure at Tucson?
Use Equation for Pressure Change
LetÕs get cockyÉ
How about Denver? Z=1,600 m
How about Mt. Everest? Z=8,700 m
You try these examples at home for practice

Temperature (T) Profile
More complex than pressure or density
Layers based on the Environmental Lapse Rate (ELR), the rate at which temperature decreases with height.

Higher Atmosphere
Molecular Composition
Homosphere- gases are well mixed.  Below 80 km. Emphasis of Course.
Heterosphere- gases separate by molecular weight, with heaviest near bottom. Lighter gases (H, He) escape.

Summary
Many gases make up air
N2 and O2 account for ~99%
Trace gases: CO2, H2O, O3, etc.
Some are very importantÉmore later
Pressure and Density
Decrease rapidly with height
Temperature
Complex vertical structure

Reading Assignment
Ahrens
Pages 13-22; 427-428 (Appendix C)
Problems 1.17, 1.18, 1.20
(1.17 Þ Chapter 1, Question 17)
DonÕt Forget the 4Óx6Ó Index Cards