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Humidity Activity

Humidity Activity
1. In the table below, the saturation vapor pressure is provided for air temperature. Find a good mathematical
model for this data, and confirm your model with a residual plot.
Air Temperature (oF)
30
35
40
45
50
55
60
65
Saturation Vapor
Pressure (mb)
5.6
6.9
8.4
10.2
12.3
14.8
17.8
21.0
Air Temperature (oF)
70
75
80
85
90
95
100
100
Saturation Vapor
Pressure (mb)
25.0
29.6
34.6
41.0
48.1
56.2
65.6
65.6
Adapted from: Meteorology Today, 4th Edition, C.D. Ahrens, 1991.
2. What type of model seems to fit this data best? What does this model tell us about the way in which the about
the relationship between temperature and the amount of water vapor a parcel of air can hold?
3. Suppose the air temperature in a hospital is constant at 72oF. Relative humidity below 58% can cause patients
and staff to develop dry skin and chapped lips. The hospital has purchased humidifiers to help with this
problem in the winter. To what actual vapor pressure should the humidifiers be set to keep the air
comfortable?
4. What is the relative humidity of air with temperature 67oF and dew point 40oF?
5. On a bitterly cold snowy morning with outside air temperature and dew point 23oF. If a parcel of this air is
transported inside to where the temperature is 66oF, with no change in vapor content, what will be the relative
humidity of the air?
6. A TV meteorologist announces that the temperature is 92oF with a relative humidity of 50%. Calculate the
dew point. How comfortable would it be to exercise outside?
7. Another local TV meteorologist states, β€œFor every 10o Fahrenheit increase in dew point, the amount of water
vapor in the atmosphere doubles.” How consistent is this statement with your model?
π΄π‘π‘ π‘œπ‘™π‘’π‘‘π‘’ π»π‘’π‘šπ‘–π‘‘π‘–π‘‘π‘¦ =
π‘šπ‘Žπ‘ π‘  π‘œπ‘“ π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘£π‘Žπ‘π‘œπ‘Ÿ (𝑔)
π‘£π‘œπ‘™π‘’π‘šπ‘’ π‘œπ‘“ π‘Žπ‘–π‘Ÿ (π‘š3 )
𝑆𝑝𝑒𝑐𝑖𝑓𝑖𝑐 π»π‘’π‘šπ‘–π‘‘π‘–π‘‘π‘¦ =
π‘šπ‘Žπ‘ π‘  π‘œπ‘“ π‘€π‘Žπ‘‘π‘’π‘Ÿ π‘£π‘Žπ‘π‘œπ‘Ÿ(𝑔)
π‘‘π‘œπ‘‘π‘Žπ‘™ π‘šπ‘Žπ‘ π‘  π‘œπ‘“ π‘Žπ‘–π‘Ÿ (π‘˜π‘”)
π‘…π‘’π‘™π‘Žπ‘‘π‘–π‘£π‘’ π»π‘’π‘šπ‘–π‘‘π‘–π‘‘π‘¦ =
π‘Žπ‘π‘‘π‘’π‘Žπ‘™ π‘£π‘Žπ‘π‘œπ‘Ÿ π‘π‘Ÿπ‘’π‘ π‘ π‘’π‘Ÿπ‘’
βˆ— 100%
π‘ π‘Žπ‘‘π‘’π‘Ÿπ‘Žπ‘‘π‘–π‘œπ‘› π‘£π‘Žπ‘π‘œπ‘Ÿ π‘π‘Ÿπ‘’π‘ π‘ π‘’π‘Ÿπ‘’
𝐷𝑒𝑀 π‘π‘œπ‘–π‘›π‘‘ 𝑖𝑠 π‘‘β„Žπ‘’ π‘‘π‘’π‘šπ‘π‘’π‘Ÿπ‘Žπ‘‘π‘’π‘Ÿπ‘’ π‘€β„Žπ‘’π‘› π‘Žπ‘π‘‘π‘’π‘Žπ‘™ π‘£π‘Žπ‘π‘œπ‘Ÿ π‘π‘Ÿπ‘’π‘ π‘ π‘’π‘Ÿπ‘’ = π‘ π‘Žπ‘‘π‘’π‘Ÿπ‘Žπ‘‘π‘–π‘œπ‘› π‘£π‘Žπ‘π‘œπ‘Ÿ π‘π‘Ÿπ‘’π‘ π‘ π‘’π‘Ÿπ‘’
Humidity & Mathematics: Understanding the Dew Point
NCCTM 2014
Angela Teachey ([email protected])
Presentation Materials Available at:
NC School of Science and Mathematics
http://courses.ncssm.edu/math/talks/conferences/
Source: http://www.srh.noaa.gov/
Source: weather.com
Humidity & Mathematics: Understanding the Dew Point
NCCTM 2014
Angela Teachey ([email protected])
Presentation Materials Available at:
NC School of Science and Mathematics
http://courses.ncssm.edu/math/talks/conferences/

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