Chapter
1 Summary and Review
The earth’s first atmosphere from about 4.5 billion years ago was substantially different than today, with hydrogen and helium being the primary gases. Over time, forces such as comet and asteroid impacts, volcanic outgassing, bacterial processes, and escaping gases changed the composition of the atmosphere into what it is today. In today’s atmosphere the lighter gases such as hydrogen and helium reside in the very top part of the atmosphere, called the heterosphere since its composition varies. In the lower 80 km, the homosphere, the atmosphere’s composition is fairly constant. Permanent gases make up the majority of the atmosphere, including nitrogen (78%), oxygen (21%), and argon (1%). Other gases vary, but are important for the atmosphere’s behavior. Water vapor occupies 0.25% to 4% of the atmosphere, varying due to evaporation from oceans and precipitation. Water vapor is extremely important for day to day weather and can even affect temperature with its ability to trap energy (greenhouse effect). Like water vapor, carbon dioxide is a greenhouse gas. It is released by exhalation, decay, volcanoes, and burning. Plants absorb CO2 for photosynthesis, so concentrations vary seasonally, although the total has been increasing over time. Ozone in the upper atmosphere protects us from ultraviolet radiation, but near the surface it can be an irritating pollutant. Chlorofluorocarbons (CFC’s) can have a detrimental effect on the chemical reactions that produce ozone. The variable gas methane is produced by human mining and agriculture and like fellow greenhouse gas CO2, has been rising in concentration. Along with gases in the atmosphere, there are also tiny particles of solids and liquids suspended in the air, called aerosols.
The atmosphere varies in density
(mass/volume) with height. More
molecules and thus greater density are concentrated at the earth’s surface,
decreasing with height until there are nothing but a few molecules left. Temperature also varies with height, and the
atmosphere can be divided into layers accordingly. In the lowest layer, the troposphere, temperature decreases with
height. Most weather occurs in this
layer. The stratosphere has increasing
temperature with height, which prevents air from rising upwards, and thus only
the tops of thunderstorms can penetrate this layer. In the mesosphere, temperature again decreases with height. The temperatures in the thermosphere
increase dramatically, but the sparse molecules at this level prevent it from
feeling warm. The earth also has a
layer called the ionosphere that has an effect on radio waves. In comparison to the other planets in the
solar system, the earth is very hospitable.
Venus has an extremely dense atmosphere of CO2, nitrogen, and
sulfuric acid clouds. Mars’s atmosphere
is much less dense, consisting mostly of CO2. The outer planets are mostly atmospheres of
hydrogen and helium, with small solid cores.
Any process requires energy. Energy can be divided into two different categories; potential energy which is stored energy, and kinetic energy which is the energy of movement. Energy cannot be created or destroyed, but it can be transferred in one of three ways: conduction, convection, and radiation. Radiation is the only one that can work in outer space. Electromagnetic radiation travels in waves, with the wavelength determining the properties of the energy. EM radiation varies in wavelength across a spectrum, from gamma, X-rays, ultraviolet, visible light, infrared, microwave, and radio.
A blackbody is a hypothetical
object that radiates the maximum possible radiation at every wavelength. The Stefan-Boltzmann Law states that
temperature determines how much a blackbody emits. Since the formulation of the Stefan-Boltzmann Law states I=sT4, the fourth power indicates
that a small increase in temperature causes a large increase in radiation
emitted. Since blackbodies don’t really
exist in nature, a factor called emissivity must be added to the law. Wien’s Law states that the peak wavelength
emitted by a blackbody depends on temperature.
So the sun, which is much hotter that the earth, emits radiation at a
shorter wavelength. Not all radiation
emitted by the sun reaches the earth due to the inverse square law, which
states that radiation intensity decreases in intensity in proportion to the
distance squared. Only about 1367 W/m2
reaches the earth, an amount called the solar constant.
The earth’s orbit is not a
perfect circle, it is closes to the sun (perihelion) on January 3 and is
farthest (aphelion) on July 3. This has
little affect on our seasonal temperature variation. The earth tilts on its axis toward the North Star, a tilt of 23.5o. On June 21 (or so) the Northern Hemisphere
is tilted towards the sun. The sun is directly
above the latitude 23.5o N at noon (solar declination). Therefore the Northern Hemisphere receives
more direct (intense) sunlight, and remains in the sun’s illumination for
longer periods of time. Around December
21, the opposite occurs. The Southern
Hemisphere is tilted toward the sun and receives the more direct sunlight for
longer periods. In between the
solstices, are the equinoxes, when the earth’s axis is tilted neither toward
nor away from the sun, and both hemispheres receive the same amount of
daylight.
Know:
When the sun’s radiation enters
the earth’s atmosphere it is either absorbed, reflected, scattered or
transmitted. Ultraviolet and infrared
radiation are mostly absorbed by the atmosphere, while much of the visible
light is not. Visible light is often
reflected, particularly by surfaces with a high albedo, such as snow. The short wavelengths of visible light are
scattered by atmospheric gas molecules, a process called Rayleigh scattering. Rayleigh scattering makes daytime skies
blue. Mie scattering is produced by
aerosols and is not dependant on wavelength.
Thus a sky with a lot of aerosols would appear with a white or gray
tint. The nonselective scattering of
cloud droplets, like Mie, scatter all visible wavelengths
Besides incoming solar radiation,
the earth is also emitting longwave radiation.
Some escapes into space, but some is absorbed by greenhouse gases such
as carbon dioxide and water vapor, trapping the infrared radiation and keeping
the earth warmer. The greenhouse gases
let some wavelengths escape through an “atmospheric window”, which is “closed”
when clouds are present, trapping the extra heat. Considering net radiation, the ground has a surplus and the
atmosphere a deficit. Energy is
transferred through conduction and convection to try and even the balance. There is also the transfer of sensible heat
from the ground. The amount of sensible
heat produced by a substance depends on its specific heat, or the amount of
energy needed for a certain temperature change. Water has a higher sensible heat than land, and thus takes longer
to heat and cool. There is also latent
heat, which is released by condensation and absorbed by evaporation. Adding sensible and latent heat to net
radiation evens out the energy balance into equilibrium.
The radiation balance only
considers the entire earth averaged over a period of time. Looking at energy and temperature over one
day, solar radiation has to exceed the outgoing radiation for a while,
producing a lag in temperature, peaking 2-4 hours after noon. Similarly, the highest temperatures during
the year occur in July or August, after the solstice. Different factors can affect temperature. Locations at a higher latitude receive less
radiation and are cooler. Stations in
the mountains often are cooler than the valleys, and cool off very rapidly at
night. Since the specific heat of water
is high, stations near the oceans often are less variable in temperature than
inland locations. Atmospheric
circulation and ocean currents try to redistribute heat, while local effects
can also influence temperature.
Temperature variations can cause layers of different densities to form,
producing optical effects such as mirages.
Know:
·
What
radiation does as it enters the atmosphere.
·
The
different types of scattering.
·
What
albedo is.
·
Understand
the radiation balance.
·
The
difference between latent and sensible heat.
·
What
factors influence temperature variations.
·
A
bit about atmospheric optics.
Water is extremely important to
the weather, and can exist in all three states in the atmosphere. Water changes from liquid to gas by
evaporation, and from gas to liquid by condensation. When evaporation and condensation are in equilibrium in a
hypothetical sealed container of water, the air in the container is said to be
saturated. At higher temperatures, it
takes more water vapor to reach saturation.
Water vapor content can be expressed in numerous ways, including vapor
pressure, specific humidity, and mixing ratio.
Saturation vapor pressure, saturation specific humidity, and saturation
mixing ratio give the theoretical amount of water vapor possible at a certain
temperature. When vapor pressure equals
saturation vapor pressure, for example, the air is saturated. Relative humidity does not give the amount
of water vapor, but instead is a ratio of how close the air is to saturation. Since higher temperatures take more water
vapor, a temperature change can cause a change in relative humidity, even if
there is no change is water vapor. The
dew point gives the temperature to which air would have to be cooled for
saturation. Similarly, wet bulb
temperature, measured with a sling or aspirating psychrometer, gives a cooled
temperature after water has evaporated off a wick. The difference between the wet bulb and the dry bulb temperature
is called the wet bulb depression, and can be used to calculate dew point or
relative humidity.
There are three different ways to
achieve saturation: adding more water vapor, mixing cold air with warm moist
air, and cooling the air down to the dew point. Air can be cooled by a diabatic process, in which heat is added
or removed, or an adiabatic process, in which the temperature changes but no
heat is added or removed. Instead, as a
gas expands, it cools, and as it contracts, it warms. Thus a dry parcel rising from the ground would expand and cool
off at the dry adiabatic lapse rate (about 1oC/100 m). Eventually the temperature of the parcel
cools off to the dew point and condensation starts, this altitude is called the
lifted condensation level. After
condensation starts, the parcel continues to rise and cool, but at a slower
rate due to the release of latent heat.
This rate is called the saturated adiabatic lapse rate, and varies a bit
with temperature. The air surrounding
the parcel also cools off with increasing height, a rate called the
environmental lapse rate.
Know:
·
What
saturation is.
·
The
relationship between temperature and saturation.
·
The
different ways of looking at humidity: vapor pressure, absolute, specific and
relative humidity, dew point, and mixing ratio.
·
The
different ways to achieve saturation.
·
The
laws of thermodynamics and how they relate to temperature.
·
The
three different lapse rates and what the lifted condensation level is.