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Q: When is the minimum
temperature during a day?
Q: When is the maximum
temperature during a day?
Outgoing LW radiation
emitted by the earth should
be similar to the daily
temperature, why?
because Stefan-Boltzmann law

E=sT4
Q: Why there is a lag between maximum
incoming SR and temperature?

Q: What determines temperature
variations?

Net radiation  Net R
Net R=Incoming SW- Outgoing LW

if Net R >0, surface is warming
if Net R <0, surface is cooling

Why
lag?
Pressure = Force per unit area
the weight of the column of air
will be about 14.7 lbs.

Hence, the pressure at sea level
is = force/area = 14.7 lbs/inch2

Sea-level pressure is also given in other units:
14.7 lbs/inch2 =1013.25 millibars (mb)
Air pressure = total air weight per unit area
of the atmospheric column above z

Lecture 1 - 7
Dalton's law

p  p H 2 O  p C O 2  p N 2  ...
p  total pressure of the gas m ixture
p H 2 O  partial pressure of w ater vapor (H 2 O )
p C O 2  partial pressure of carbon dioxide (C O 2 )
p N 2  partial pressure of nitrogen (N 2 )

Total pressure exerted by a gaseous mixture is
equal to the sum of the partial pressures of
each individual component in a gas mixture
For example
Gas 1
P1

Gas 2
P2

Gas 3
P3

Gas mixture
P

=
Per unit area

Per unit area

Per unit area

P = P1 + P2 +P3

Per unit area
Example
 Given a parcel of air comprised of only nitrogen, oxygen, and water vapor

PTotal = PN2+ PO2 + PH2O
1000 mb = 780 mb + 210 mb + 10 mb
No water condensation
No weather
Under what conditions does
condensation occur?
Temperature
= Dew point temperature
Relative humidity = 100%
Fig. 11-9, p. 306
Relative
Humidity
NYC daily Weather
Temperature
dew point temperature
Relative humidity
Wind
Rain


Temperature = 43oF

Dew point = 31oF

Relative humidity
How much water
vapor can be held in
the air?
What determines
the capacity?
Vapor Pressure

p H 2O

Saturation Vapor
Pressure P*H2O

Total weight of water vapor per unit area
Vapor pressure PH2O (mb)

120

T=30°C

110
100
90
80
70
60

50

Dry Air

40
30
20

Water

10

0

0

10

20

30

Temperature (oC)

40

50

PH 2 O  0
Vapor Pressure

p H 2O

Saturation Vapor
Pressure P*H2O

Total weight of water vapor per unit area
Vapor pressure (mb)

120

T=30°C

110
100
90

H2O
vapor

80
70

Moist Air

60

50
40
30

PH 2 O  0

20
10

evaporation
Water

0
0

10

20

30

Temperature (oC)

40

50
*
H 2o

Saturation Vapor Pressure

P

Total weight of water vapor per unit area

T=30 oC

Vapor pressure (mb)

120

Saturation: balance between the
number of water molecules entering
and leaving the water surface.

110
100
90
80

17.27 T
70

PH 2 O (T )  0.6108 e T  273.3
*

60

=

50
40
30

*
H 2O

P

20
10

0
0

10

20

30

Temperature (oC)

40

50
Saturation vapor pressure (mb)

Temperature determines
the capacity of holding water vapor in the air
120
110
100
90
80
70
60
50
40
30
20
10
0

*
H 2O

P

This curve indicates how
much water vapor can be
held in the air at a given
temperature
17.27 T

PH 2 O (T )  0.6108 e T  273.3
*

T=44 oC

T=10 oC
T=30 oC

0

10

20

30

40

Temperature (oC)

50
Atlantic and eastern Pacific: hurricane
Western Pacific: typhoon
Indian Ocean & Australia: tropical cyclone

20
Relative Humidity

PH 2 O

RH 

*
H 2O

 100%

P

Total weight of water vapor per unit area
Saturation vapor pressure (mb)

120

*
H 2O

P

Saturation: balance between the
number of water molecules entering
and leaving the water surface.

110
100
90

T=30 oC

80
70
60

50

=

*
H 2O

P

40
30
20

PH 2 O

10

0
0

10

20

30

Temperature (oC)

40

50
*
H 2o

Saturation Vapor Pressure

P

Total weight of water vapor per unit area
Saturation vapor pressure (mb)

120

*
H 2O

Saturation: balance between the
number of water molecules entering
and leaving the water surface.

110
100
90

P

Air isT=30 oC to
cooled
oC
T=20

80
70

PH 2 O

RH 

60

*
H 2O

 100%

=

P

50
40
30

*
H 2O

P

20
10

0
0

10

20

30

Temperature (oC)

Dew point

40

50
Dew point temperature

Temperature to which a given parcel
of air must be cooled for water vapor
to condense into water.
Saturation vapor pressure (mb)

110

RH 

100

PH 2 O
*
H 2O

*
H 2O

P

120

 100%

P

90
80

Tdew Dew point

70
60

3
H 2O

P

50
40

2
H 2O

P

30
20

1
H 2O

10

P

0

0

10
o

10 C

20

30
40
o
o
34 C
26 C

50
NYC daily Weather

Temperature indicates
the capacity of holding
water vapor in the air





Dew point temperature
indicates how much
water vapor is in the air

Relative humidity
Saturation vapor pressure (mb)

120
110
100
90
80
70
60
50
40
30
20
10
0

This curve indicates how much water
vapor can be held in the air at a given
temperature

e s (T )

 17.625T 
e s (T )  6.1 exp 

 T  243.04 

T=44 oC
T=10 oC
T=30 oC
0

10

20

30

Temperature (oC)

40

50
Lecture8 sep30-bb (1)
Lecture8 sep30-bb (1)

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Lecture8 sep30-bb (1)

  • 1. 1
  • 2. 2
  • 3. Q: When is the minimum temperature during a day? Q: When is the maximum temperature during a day? Outgoing LW radiation emitted by the earth should be similar to the daily temperature, why? because Stefan-Boltzmann law E=sT4
  • 4. Q: Why there is a lag between maximum incoming SR and temperature? Q: What determines temperature variations? Net radiation  Net R Net R=Incoming SW- Outgoing LW if Net R >0, surface is warming if Net R <0, surface is cooling Why lag?
  • 5. Pressure = Force per unit area
  • 6. the weight of the column of air will be about 14.7 lbs. Hence, the pressure at sea level is = force/area = 14.7 lbs/inch2 Sea-level pressure is also given in other units: 14.7 lbs/inch2 =1013.25 millibars (mb)
  • 7. Air pressure = total air weight per unit area of the atmospheric column above z Lecture 1 - 7
  • 8. Dalton's law p  p H 2 O  p C O 2  p N 2  ... p  total pressure of the gas m ixture p H 2 O  partial pressure of w ater vapor (H 2 O ) p C O 2  partial pressure of carbon dioxide (C O 2 ) p N 2  partial pressure of nitrogen (N 2 ) Total pressure exerted by a gaseous mixture is equal to the sum of the partial pressures of each individual component in a gas mixture
  • 9. For example Gas 1 P1 Gas 2 P2 Gas 3 P3 Gas mixture P = Per unit area Per unit area Per unit area P = P1 + P2 +P3 Per unit area
  • 10. Example  Given a parcel of air comprised of only nitrogen, oxygen, and water vapor PTotal = PN2+ PO2 + PH2O 1000 mb = 780 mb + 210 mb + 10 mb
  • 11. No water condensation No weather Under what conditions does condensation occur? Temperature = Dew point temperature Relative humidity = 100% Fig. 11-9, p. 306
  • 13. NYC daily Weather Temperature dew point temperature Relative humidity Wind Rain
  • 14.  Temperature = 43oF Dew point = 31oF Relative humidity
  • 15. How much water vapor can be held in the air? What determines the capacity?
  • 16. Vapor Pressure p H 2O Saturation Vapor Pressure P*H2O Total weight of water vapor per unit area Vapor pressure PH2O (mb) 120 T=30°C 110 100 90 80 70 60 50 Dry Air 40 30 20 Water 10 0 0 10 20 30 Temperature (oC) 40 50 PH 2 O  0
  • 17. Vapor Pressure p H 2O Saturation Vapor Pressure P*H2O Total weight of water vapor per unit area Vapor pressure (mb) 120 T=30°C 110 100 90 H2O vapor 80 70 Moist Air 60 50 40 30 PH 2 O  0 20 10 evaporation Water 0 0 10 20 30 Temperature (oC) 40 50
  • 18. * H 2o Saturation Vapor Pressure P Total weight of water vapor per unit area T=30 oC Vapor pressure (mb) 120 Saturation: balance between the number of water molecules entering and leaving the water surface. 110 100 90 80 17.27 T 70 PH 2 O (T )  0.6108 e T  273.3 * 60 = 50 40 30 * H 2O P 20 10 0 0 10 20 30 Temperature (oC) 40 50
  • 19. Saturation vapor pressure (mb) Temperature determines the capacity of holding water vapor in the air 120 110 100 90 80 70 60 50 40 30 20 10 0 * H 2O P This curve indicates how much water vapor can be held in the air at a given temperature 17.27 T PH 2 O (T )  0.6108 e T  273.3 * T=44 oC T=10 oC T=30 oC 0 10 20 30 40 Temperature (oC) 50
  • 20. Atlantic and eastern Pacific: hurricane Western Pacific: typhoon Indian Ocean & Australia: tropical cyclone 20
  • 21. Relative Humidity PH 2 O RH  * H 2O  100% P Total weight of water vapor per unit area Saturation vapor pressure (mb) 120 * H 2O P Saturation: balance between the number of water molecules entering and leaving the water surface. 110 100 90 T=30 oC 80 70 60 50 = * H 2O P 40 30 20 PH 2 O 10 0 0 10 20 30 Temperature (oC) 40 50
  • 22. * H 2o Saturation Vapor Pressure P Total weight of water vapor per unit area Saturation vapor pressure (mb) 120 * H 2O Saturation: balance between the number of water molecules entering and leaving the water surface. 110 100 90 P Air isT=30 oC to cooled oC T=20 80 70 PH 2 O RH  60 * H 2O  100% = P 50 40 30 * H 2O P 20 10 0 0 10 20 30 Temperature (oC) Dew point 40 50
  • 23. Dew point temperature Temperature to which a given parcel of air must be cooled for water vapor to condense into water.
  • 24. Saturation vapor pressure (mb) 110 RH  100 PH 2 O * H 2O * H 2O P 120  100% P 90 80 Tdew Dew point 70 60 3 H 2O P 50 40 2 H 2O P 30 20 1 H 2O 10 P 0 0 10 o 10 C 20 30 40 o o 34 C 26 C 50
  • 25. NYC daily Weather Temperature indicates the capacity of holding water vapor in the air   Dew point temperature indicates how much water vapor is in the air Relative humidity
  • 26. Saturation vapor pressure (mb) 120 110 100 90 80 70 60 50 40 30 20 10 0 This curve indicates how much water vapor can be held in the air at a given temperature e s (T )  17.625T  e s (T )  6.1 exp    T  243.04  T=44 oC T=10 oC T=30 oC 0 10 20 30 Temperature (oC) 40 50