How Humidity is Expressed
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Ways to Express Humidity        Humidity and Temperature

Ways to Express Humidity

There are several ways to describe the humidity of the air.  You may not need all of them, but here they are, just in case. 

Absolute Humidity expresses the water vapor content of the air using the mass of water vapor contained in a given volume of air. It may be measured in grams of vapor/cubic meter of air. A problem with using absolute humidity is that an air parcel changes volume as the ambient temperature and pressure change.  This means that the absolute humidity changes  when the volume changes, even though the mass of water vapor has not changed.

Specific Humidity measures the water vapor content of the air using the mass of the water vapor for a given mass of air.  It may be measured in grams of water vapor per kilogram of air. The kilogram of air measured includes the water vapor present (compare this to mixing ratio, below). Unlike absolute humidity, specific humidity doesn't change as the air parcel expands or is compressed.

Mixing Ratio also measures the water vapor content using a measure of mass, but it measures the mass of water vapor for a given mass of dry air.  It may be measured in grams of water vapor per kilogram of dry air. Notice the difference between mixing ratio and specific humidity: specific humidity includes the water vapor in the air in the denominator, while mixing ratio measures water vapor per mass of dry air. Since water vapor comprises only a few percent of the mass of air, the values for specific humidity and mixing ratio are very close for a given parcel of air. Mixing ratio is not affected by changes in pressure and temperature.  This is a commonly used measure by meteorologists. At a temperature of 20 degrees C, at average sea level pressure, the saturation mixing ratio is 14 grams of water per kilogram of dry air.

Vapor pressure  measures the water vapor content of the air using the partial pressure of the water vapor in the air. (Pressure may be expressed using a variety of units: in pascals, in millibars, in pounds per square inch, among others).  The gases in the atmosphere exert a certain amount of pressure (about 1013 millibars at sea level).  Since water vapor is one of the gases in air, it contributes to the total air pressure.  The contribution by water vapor is rather small, since water vapor only makes up a few percent of the total mass of a parcel of air. The vapor pressure of the water in the air at sea level, at a temperature of 20 degrees C, is 24 mb at saturation.

Most of these measures of humidity are not easily determined directly.  It is actually easier to measure relative humidity.

Relative Humidity: we can compare how much water vapor is present in the air to how much water vapor would be in the air if the air were saturated.  For this we use relative humidity.  Relative humidity is a ratio that compares the amount of water vapor in the air with the amount of water vapor that would be present in the air at saturation.   One way it can be stated would be as the ratio of the actual mixing ratio to the saturation mixing ratio.  Relative humidity is given as a percentage: the amount of water vapor is expressed as a percent of saturation.  If 10 grams of water vapor were present in each kilogram of dry air, and the air would be saturated with 30 grams of water vapor per kilogram of dry air, the relative humidity would be 10/30=33.3%.

For example, a parcel of air at sea level, at a temperature of 25 degrees C, would be completely saturated if there were 20 grams of water vapor in every kilogram of dry air. (Question: which measure of humidity are we using here?  Answer 1M).  If this air actually contained 20 grams of water vapor per kilogram of dry air, we would say that the relative humidity is 100%. 
If the parcel of air (at sea level at 25 deg C) actually had 10 grams of water vapor per kilogram of dry air, what is its relative humidity?   Answer 2M
If a parcel of air (at sea level at 25 deg C) had 18 grams of water vapor per kilogram of dry air, what is its relative humidity?  Answer 3M.

Humidity and Temperature

waterbowl.gif (2016 bytes)Consider a bowl of water. We've already seen this bowl, and we made water evaporate from it.  As you recall, to make the water evaporate, we added heat, which was absorbed by the individual molecules of water.  As each molecule absorbs heat, it gets more energetic, and eventually, has so much energy that it breaks the hydrogen bonds holding it to the other water molecules, leaves the liquid water, and floats off on its own, as a molecule of water vapor.  In other words, it evaporates.

Even while some water molecules are evaporating, others are condensing, changing from the vapor state to the liquid state, and joining the liquid water in the bowl.  waterbowlsat.gif (2521 bytes)At any given temperature, there will eventually be an equilibrium between the number of molecules evaporating, and the number of molecules condensing.  When the number of molecules evaporating balances the number of molecules condensing, we say that the air above the liquid water is saturated.  The term saturation refers to the maximum amount of water that can be present as a vapor in the atmosphere.  If the air above the water bowl is saturated, then for every molecule of water that evaporates, another molecule condenses.

waterbwlevap.gif (2497 bytes)But we know that to make water evaporate, you add heat.  So what happens if we raise the temperature of the bowl and the surrounding air?  More water will evaporate.  For a while, the rate of evaporation will exceed the rate of condensation.

Eventually, though, the balance between evaporation and condensation will stabilize at the new temperature.  Once again, evaporation will balance condensation.  The air will again be saturated, but there will be more molecules of water vapor present in the air above the bowl.  At the higher temperature, more water vapor will be present in the air at saturation.  This is a good general rule to remember: the higher the air temperature, the more water vapor will be present in the air at saturation.

waterbwlcndns.gif (2398 bytes)What happens if we lower the temperature?  As the temperature is lowered, more water molecules return to the liquid state (condense) than evaporate.   Eventually, at the new lower temperature, there will again be a balance between the number of molecules evaporating and the number condensing.  But there will be fewer waterbowlsat.gif (2521 bytes)molecules of water vapor in the air at the new cooler temperature than were present at higher temperatures.  This rule to remember is just a restatement of the previous one: the lower the air temperature, the less water vapor will be present in the air at saturation.

Relative humidity depends on two factors: the amount of moisture available, and on the temperature. So you can have a change in relative humidity in one of two ways:

1) Change the amount of water vapor available; if there is liquid water present, for instance, a lake, you can have an increase in relative humidity by evaporation from the surface of the lake. This is pretty obvious. You’re adding water vapor, so the humidity increases.

2) The other way is to change the temperature of the air, while holding the water vapor constant. Even though there is no water source, and no water vapor is added, a lowering of air temperature results in a rise of relative humidity. This is automatic. The amount of water vapor that could be present at saturation is less at the lower temperature, so the existing amount of water vapor represents a higher percentage of the saturation level of the air. Similarly, a rise in temperature results in a decrease in relative humidity, even though no water vapor has been taken away.

Key point to remember: Given that the amount of water vapor is held constant, then if you
--reduce the temperature, the relative humidity goes up
--increase the temperature, the relative humidity goes down.

Back to Humidity Start Page        On to Adiabatic Processes and Lapse Rates

 


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03/05/03

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