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Lecture 6: Water in Atmosphere
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Introduction
  • Over 70% of the planet is covered by water


  • Water is unique in that it can simultaneously exist in all three states (solid, liquid, gas) at the same temperature


  • Water is able to shift between states very easily


  • Important to global energy and water cycles
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How Much Water Is Evaporated Into the Atmosphere Each Year?
  •  On average, 1 meter of water is evaporated from oceans to the atmosphere each year.
  •  The global averaged precipitation is also about 1 meter per year.
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How Much Heat Is Brought Upward By Water Vapor?
  • Earth’s surface lost heat to the atmosphere when water is evaporated from oceans to the atmosphere.
  • The evaporation of the 1m of water causes Earth’s surface  to lost 83 watts per square meter, almost half of the sunlight that reaches the surface.
  • Without the evaporation process, the global surface temperature would be 67°C instead of the actual 15°C.
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Phase Changes of Water
  • Latent heat is the heat released or absorbed per unit mass when water changes phase.
  • Latent heating is an efficient way of transferring energy globally and is an important energy source for Earth’s weather and climate.
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Water Vapor In the Air
  • Evaporation: the process whereby molecules break free of the liquid volume.
  • Condensation: water vapor molecules randomly collide with the water surface and bond with adjacent molecules.
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Indices of Water Vapor Content
  • by mass








  • by vapor pressure






  • by temperature è Dew Point Temperature
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Observed Specific Humidity
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Vapor Pressure
  •  The air’s content of moisture can be measured by the pressure exerted by the water vapor in the air.
  • The total pressure inside an air parcel is equal to the sum of pressures of the individual gases.
  • In the left figure, the total pressure of the air parcel is equal to sum of vapor pressure plus the pressures exerted by Nitrogen and Oxygen.
  • High vapor pressure indicates large numbers of water vapor molecules.
  • Unit of vapor pressure is usually in mb.
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Saturation Vapor Pressure
  • Saturation vapor pressure describes how much water vapor is needed to make the air saturated at any given temperature.
  • Saturation vapor pressure depends primarily on the air temperature in the following way:





  • è



  • Saturation pressure increases exponentially with air temperature.
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Specific .vs. Relative Humidity
  • Specific Humidity: How many grams of water vapor in one kilogram of air (in unit of gm/kg).
  • Relative Humidity: The percentage of current moisture content to the saturated moisture amount (in unit of %).
  • Clouds form when the relative humidity reaches 100%.
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How to Saturate the Air?
  • Three ways:
  • Increase (inject more) water vapor to the air (Aà B).
  • Reduce the temperature of the air (A à C).
  • Mix cold air with warm, moist air.
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Dew Point Temperature
  • Dew point temperature is another measurement of air moisture.
  • Dew point temperature is defined as the temperature to which moist air must be cool to become saturated without changing the pressure.
  • The close the dew point temperature is to the air temperature, the closer the air is to saturation.
  • Dew points can be only equal or less than air temperatures.
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Frost Point Temperature
    •  When air reaches saturation at temperatures below freezing the term frost point is used.
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Measuring Humidity
  • The easiest way to measure humidity is through use of a sling psychrometer - A pair of thermometers one of which has a wetted cotton wick attached to the bulb.
  • The two thermometers measure the wet and dry bulb temperature.
  • Swinging the psychrometer causes air to circulate about the bulbs.
  • When air is unsaturated, evaporation occurs from the wet bulb which cools the bulb.
  • Once evaporation occurs, the wet bulb temperature stabilizes allowing for comparison with the dry bulb temperature.
  • The wet bulb depression is found with a greater depression indicative of a dry atmosphere.
  • Charts gauge the amount of atmospheric humidity.
  • Aspirated and hair hygrometers are alternatives.
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Sling Psychrometer
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Hair Hygrometers
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Saturation Vapor Pressure
  • Saturation vapor pressure describes how much water vapor is needed to make the air saturated at any given temperature.
  • Saturation vapor pressure depends primarily on the air temperature in the following way:





  • è



  • Saturation pressure increases exponentially with air temperature.
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Four Types of Fog
  •  Radiation Fog: radiation cooling è condensation è fog
  •  Advection fog: warm air advected over a cold surface è fog
  •  Upslope fog: air rises over a mountain barrier è air expands and cools è fog
  •  Evaporation fog: form over lake when colder air moves over warmer water è steam fog
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Adiabatic Process
  • If a material changes its state (pressure, volume, or temperature) without any heat being added to it or withdrawn from it, the change is said to be adiabatic.
  • The adiabatic process often occurs when air rises or descends and is an important process in the atmosphere.


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Diabatic Process
  •  Involve the direct addition or removal of heat energy.
  • Example: Air passing over a cool surface loses energy through conduction.
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Air Parcel Expands As It Rises…
  •  Air pressure decreases with elevation.
  •  If a helium balloon 1 m in diameter is released at sea level, it expands as it floats upward because of the pressure decrease. The balloon would be 6.7 m in diameter as a height of 40 km.
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What Happens to the Temperature?
  •  Air molecules in the parcel (or the balloon) have to use their kinetic energy to expand the parcel/balloon.
  • Therefore, the molecules lost energy and slow down their motions
  •  è The temperature of the air parcel (or balloon) decreases with elevation. The lost energy is used to increase the potential energy of air molecular.
  • Similarly when the air parcel descends, the potential energy of air molecular is converted back to kinetic energy.
  •     è Air temperature rises.
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Dry Adiabatic Lapse Rate
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Moist Adiabatic Lapse Rate
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Dry and Moist Adiabatic Lapse Rates
  •  Dry adiabatic lapse rate is constant = 10ºC/km.
  •  Moist adiabatic lapse rate is NOT a constant. It depends on the temperature of saturated air parcel.
  • The higher the air temperature, the smaller the moist adiabatic lapse rate.
  • èWhen warm, saturated air cools, it causes more condensation (and more latent heat release) than for cold, saturated air.
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Static Stability
  • Static stability is referred as to air’s susceptibility to uplift.
  • The static stability of the atmosphere is related to the vertical structure of atmospheric temperature.
  • To determine the static stability, we need to compare the lapse rate of the atmosphere (environmental lapse rate) and the dry (moist) adiabatic lapse rate of an dry (moist) air parcel.
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Concept of Stability
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Environmental Lapse Rate
  • The environmental lapse rate is referred to as the rate at which the air temperature surrounding us would be changed if we were to climb upward into the atmosphere.
  • This rate varies from time to time and from place to place.
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Static Stability of the Atmosphere
  • Ge = environmental lapse rate
  • Gd = dry adiabatic lapse rate
  • Gm = moist adiabatic lapse rate


  •  Absolutely Stable
  •             Ge < Gm
  •  Absolutely Unstable
  •              Ge > Gd
  •  Conditionally Unstable
  •          Gm < Ge < Gd
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Absolutely Stable Atmosphere
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Absolutely Unstable Atmosphere
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Conditionally Unstable Atmosphere
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Day/Night Changes of Air Temperature
  • At the end of a sunny day, warm air near the surface, cold air aloft.
  • In the early morning, cold air near the surface, warm air aloft.
  • The later condition is called “inversion”, which inhibits convection and can cause sever pollution in the morning.
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Stability and Air Pollution
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Potential Temperature (q)
  • The potential temperature of an air parcel is defined as the temperature the parcel would have if it were moved adiabatically from its existing pressure and temperature to a standard pressure P0 (generally taken as 1000mb).
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Importance of Potential Temperature
  • In the atmosphere, air parcel often moves around adiabatically. Therefore, its potential temperature remains constant throughout the whole process.
  • Potential temperature is a conservative quantity for adiabatic process in the atmosphere.
  • Potential temperature is an extremely useful parameter in atmospheric thermodynamics.
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Adiabatic Chart
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Adiabatic Chart: Dry Adiabatic / q
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Adiabatic Chart: Moist Adiabatic
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Adiabatic Chart: Saturated Mixing Ratio (g/kg)
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An Example
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Applications of Adiabatic Chart