Lecture 7 Air Pressure, Slides of Earth, Atmospheric, and Planetary Sciences

Pressure supports air column weight. • Higher up, the weight of overlying air molecules is smaller, so pres- sure is also smaller.

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Lecture 7 Air Pressure
Pressure =
In an air filled container, pressure is due at
the molecular level to molecules pushing
the sides outward by rebounding off them.
This also applies to ‘parcel’ of air sur-
rounded by more air; now molecules create
pressure by rebounding off air molecules
surrounding parcel.
At any point, pressure is same in all directions, but...pressure varies from
one point to another.
Higher density (more molecules pushing) or temperature (faster molecules)
produce more pressure.
Force
Area
-------------
Recoil
force
(pressure)
pf3
pf4
pf5
pf8
pf9
pfa

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Lecture 7

Air Pressure

Pressure =

  • In an air filled container, pressure is due at

the molecular level to molecules pushingthe sides outward by rebounding off them.

  • This also applies to ‘parcel’ of air sur-

rounded by more air; now molecules createpressure by rebounding off air moleculessurrounding parcel.

  • At any point, pressure is same in all directions, but...pressure varies from

one point to another.

  • Higher density (more molecules pushing) or temperature (faster molecules)

produce more pressure.

Force------------Area

Recoil

force (pressure)

Pressure supports air column

weight

  • Higher up, the weight of overlying

air molecules is smaller, so pres-sure is also smaller.

  • High pressure squeezes air most at

bottom, so air is densest there.

Gravity (due to weightof molecules) pulls downAir pressure pushes up

Mercury barometers

  • Weight of mercury in tube balanced by pres-

sure

  • A water barometer at sea level would have to

be read from a ladder 30 ft high, since wateris only 10% as dense as mercury.

Gravity Pressure

EOM 6.

Aneroid Barometers

  • Aneroid is partly evacuated and sealed. Pressure increase compresses aner-

oid.

  • Similar barometers in miniature are used in altimeters and altimeter

watches.

(EOM)

Lapse Rate, Compressibility and Stratification

  • The troposphere is 50 C hotter at the bottom than at the top.• We know that in convection, hot air rises and cold air sinks.Question:• Why don’t we have convection everywhere, moving the warmer air from the

surface to the upper troposphere?

Temperature (C)

Height (km)

5 0 10

0

20

40

Pressure (mb)

1000 250 500 700 850

Warm

Cold

Tropopause

Stratosphere Troposphere

Lapse Rate =

Temperature decrease

Height Increase

=

65 C / 10 km = 6.5 C/km

Temperature changes as air rises and sinks

  • As air rises, pressure of surrounding air drops.• The air ‘parcel’ expands, pushing outward on surrounding air until its pres-

sure drops to ambient.

  • Pushing outward against a force (‘work’) consumes energy, which is taken

from the random motions of the molecules, reducing temperature

  • Thus dry air cools ‘adiabatically’ (without addition of heat) at about 10

C/

km -- the

dry-adiabatic lapse rate

  • Thus, as one hikes up the mountainside above, the temperature will be 10

C

lower for each 1 km ascended.

EOM, p. 31

reduced to 10 C/km.

  • In clouds, latent heating of rising air due to condensation of water vapor into

clouds may permit ‘moist’ convection to occur even in ‘stable stratification’(lapse rate less than 10 C/km). Discuss this later.

1 0

Temperature (C)

10

20

heat Rising surface

air

Ambient

Convection willoccur in this layerwhere rising air iswarmer than ambient