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Humidity
#2. The actual mixing ratio and dew point are related as are the saturation
mixing ratio and the air temperature. Typically, the actual mixing
ratio (and dew point) change very little over the coarse of a day, while
the air temperature and saturation mixing ratio is lowest in the morning
and largest in the afternoon. The relative humidity cycle is the
opposite of the saturation mixing ratio and temperature cycle. The
relative humidity is highest in the morning and lowest in the afternoon.
#3. The dew point (actual mixing ratio) is higher along the east coast
than the west coast since the water temperature is higher in the western
Atlantic than the eastern Pacific. This difference in water temperature
also tends to cause the air temperature over land to be lower on the west
coast than the east coast. So, the relative humidity can be quite
similar. The region of lowest dew point (actual mixing ratio) is
in the mountain states of the west (Nevada, Idaho, Utah) and the highest
dew points are along the Gulf Coast.
#5. The three methods of achieving saturation are:
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Cool air while keeping the actual mixing ratio constant until the saturation
mixing ratio equals the actual mixing ratio.
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Add water vapor to the air to increase the actual mixing ratio until it
equals the saturation mixing ratio.
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Mixing cool and warm, moist but unsaturated air to produce air with a temperature
in-between and saturated air. This is a result of the fact that when the
air temperature is changed, the saturation mixing ratio changes more rapidly
than the temperature changes. The conditions must be just right or
it will not work.
#6 Energy must be extracted from the liquid water to form ice. In
the atmosphere this energy is given off to the surrounding air.
#7 Relative humidity is defined as (actual mixing ratio)/(saturation
mixing ratio) * 100 %.
#8 The energy that is being transported is the latent energy associated
with the phase transformation of water.
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In the case of evaporation > condensation the net transport of water molecules
is from the liquid to the vapor phase. Each molecule that leaves the liquid
water takes energy away from the surface. So the net transport of energy
is away from the surface.
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For evaporation rate = condensation rate, the net transport of molecules
and energy is zero, since the # of molecules going from liquid to vapor
is equal to the # going from vapor to liquid.
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When the rate of evaporation < the rate of condensation, the net transport
of molecules is toward the liquid water surface. So, the transport of energy
is into the liquid since the water molecules must release energy to go
from vapor to liquid. This released energy can go into increasing the temperature
of the water.
#9 If the RH=50% and the dew point temperature (Td) is 0 C, then
what is the air temperature? (Use the definition of RH and the chart on
the handout concerning moisture.) The definition of RH=W/Ws
* 100 %, and knowledge of the dew point temperature (Td) can be used to
calculate the air temperature. First, air temperature and Ws are related
via the table on the handout. So, if we know the value of Ws, then we can
use the table to get the air temperature. Ws can be obtained from the RH
equation like so:
Start with
RH=W/Ws*100%
Next we need to know what is the value of W. The dew point temperature
and the table can give us this. If Td=0C, then there would be 3.5 grams
of water vapor per kilogram of dry air (W=3.5g/kg). Substituting this value
of W and RH into the above equation we obtain,
50%=3.5g/kg/Ws*100%
If we solve this equation for Ws (multiply both sides by Ws and divide
both sides by 50%) to get
Ws=3.5 g/kg/50% * 100% = 3.5 g/kg * 2 = 7 g/kg.
If we look on the chart we see that a saturation mixing ratio of 7
g/kg corresponds to an air temperature of 10 C. So, the answer would be
10 C.
#10. The temperature of the liquid water; the higher the temperature
the greater the evaporation rate. The wind speed of air above the liquid
water; the higher the wind speed, the greater the rate at which water that
has been evaporated is advected (horizontal form of convection) away from
the source of evaporation.
#11 The processes sublimation, evaporation and melting each require
energy from the surrounding environment. The processes deposition, condensation
and freezing each require energy from the surrounding environment.
#12 Remember the definition of RH in #7. Here, w=5.50 g/kg and Ws=27.69
g/kg, so RH=5.5/27.69*100% = 21%.
#13 Since the dew point temperature is never greater than the air temperature,
then highest the dew point could be would be dependent upon the air temperature.
Since the air temperature is generally greater in the summer, the dew point
could also be higher then. In addition, the temperature of the surface,
including bodies of water, is also higher during the summer, so the evaporate
rate would be larger then also. So, you'd expect the concentration of water
vapor in the air to be greater in the summer.
#14 What form of energy transport in the atmosphere is effected by
the RH of the air? Somewhat of the trick question I guess. The RH will
tell us in what direction is the net transport of water. (See question
#8.)
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Sensible heat: Though one could argue that as the RH changes then the latent
heat transport changes, so the energy available for sensible heat transport
also changes. However, I was looking for an answer somewhat like, "The
temperature of the object and the difference with the surrounding environment
determines the size the sensible heat transport. So, RH does not affect
this form of energy transport.
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Radiation: Water vapor can influence the transport of energy in the atmosphere
via radiation in water vapor and absorb and emit radiation. How much energy
is absorbed and emitted is determined firstly by the actual amount of water
vapor in the air and secondly by the temperature of the water vapor molecules.
So one could argue that it is dependent upon the RH, but not just RH alone.
If you'd said RH and temperature you'd have gotten bonus points, but the
answer I was after was W (actual vapor mixing ratio) influences radiative
transport of energy in the atmosphere.
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Latent heat: This is the one that is most clearly affected by RH. See the
answers to #8 above.