ESM 120 Energy Balance and Water Balance on Landscapes Questions

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Problem Set 3 ESM 120 Winter 2020 Due 2/26/20 at the beginning of your Discussion Section Student’s Name: Discussion Section: Question 1: The elevation of Davis is 15 meters above mean sea level (msl). Donner Summit at the Sierran crest is 2200 meters above msl. Blue Canyon, on Interstate 80, is 1430 meters above msl. Assume that precipitation increases linearly as elevation increases. a) (10 points) If Davis receives 40 cm of precipitation annually and Donner Summit receives 160 cm of precipitation, predict the annual precipitation at Blue Canyon. Show your work. b. Are there limitations to the assumption that precipitation increases with elevation? Explain. c. The mean annual air temperature in Davis is 17 degrees C. Predict the mean annual air temperature at Blue Canyon and at Donner Summit. Explain your reasoning. Problem Set 3 ESM 120 Winter 2020 Due 2/26/20 at the beginning of your Discussion Section Question 2: (12 points) Consider the following two redox reactions in the nitrogen cycle: a. NH4+ + O2 = NO3- + H2O (Nitrification) 6 points b. NO3- + CH2O = N2O + CO2 (Denitrification) 6 points Both are currently unbalanced. Using the “half reactions method”, balance both of the equations, and be sure to show all of your work. Problem Set 3 ESM 120 Winter 2020 Due 2/26/20 at the beginning of your Discussion Section Question 3 (10 points) Background: Energy balance and water balance on landscapes and in soils play an important role in determining the types of vegetation that occur, the amount of energy and water available for soil formation, and the amount of water available for aquifer recharge and stream runoff. Energy dissipation by evapotranspiration (evaporation from soil plus transpiration by plants) affects the amount of water that can be stored in soils. A water balances is dependent not only on the magnitude of precipitation (P) and evapotranspiration (ETp) but on the timing, or seasonality of precipitation and solar radiation. The water balance used here is sometimes called a “bucket model”. The soil is the bucket that can hold a maximum amount of water (water holding capacity, WHC). The bucket can be filled when P exceeds ETp, or emptied when ETp exceeds P. Storage can never be less than zero because the bucket is empty. Also, once the bucket is full, an excess of P over ETp produces a surplus (the bucket begins to empty out the BOTTOM, run off is not considered in this type of bucket model), that can contribute to leaching of soils, recharge of groundwater aquifers, and streamflow. Note that ETp refers to potential evapotranspiration, not actual evapotranspiration. Refer to chapter 9 in the text for more discussion of water balance. Question 3, Part 1: Calculate the water balances below for Site 3 (4 points, all or nothing). Site 3 Water Holding Capacity 15 J F M A M J J A S O N D ETp 13 13 13 12 12 11 10 11 12 13 13 13 P 15 15 17 22 12 1 1 1 4 15 22 17 Total P-ETp Storage Surplus Question 3, Part Two (4 points total): 1. Graph the water balance for Site 3 (plot evapotranspiration and precipitation vs. months of the year). Attach graph. (3 points, all or nothing) 2. Based on the water holding capacity (WHC in cm) of the soil in Site 3, show areas of Recharge (R), Utilization (U), Deficit (D), and Surplus (S), on the graph. Note that surplus and deficit do not accumulate from one month, but storge does, until the soil water holding capacity is exceeded. (3 points, all or nothing)
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Problem Set 3
ESM 120
Winter 2020
Due 2/26/20 at the beginning of your Discussion Section
Student’s Name:

Discussion Section:

Question 1:
The elevation of Davis is 15 meters above mean sea level (msl). Donner Summit at the Sierran
crest is 2200 meters above msl. Blue Canyon, on Interstate 80, is 1430 meters above msl. Assume
that precipitation increases linearly as elevation increases.
a)

(10 points)If Davis receives 40 cm of precipitation annually and Donner Summit receives 160
cm of precipitation, predict the annual precipitation at Blue Canyon. Show your work.
Precipitation basically increases lineally with the increase in elevation, therefore a
linear equation can be developed with the help of data given from Davis and Donner
summit sierra because precipitation is depended on elevation, then let x represent
elevation and y represent precipitation.
x1 = 15 m , y1 = 40 cm
x2 = 2200 m, y2 = 160 cm
Slope = change in y/change in x
Slope = (160—40)/(2200-15) = 0.055 cm/m
Take a point say (x,y) with one of the points above say (15,40)
(y-40)/(x-15) = 0.055
y-40 = (x-15)*0.055
y-40 = 0.055x -0.825
y = 0.055x -0.825+40
y = 0.055x + 39
Where y = precipitation and x = elevation
Precipitation at Blue canyon on interstate 80, where x = 1430 m
y = (0.055*1430) + 39
y = 117.65 cm

Problem Set 3
ESM 120
Winter 2020
Due 2/26/20 at the beginning of your Discussion Section
Precipitation at Blue Canyon at interstate 80 is 117.65 cm

b. Explanation to the limitations to the assumption that precipitation increases with elevation.
I.

The land nature: When the land starts out at a lower elevation then rises in elevation
with distance, then the air with moisture will leave most of water vapor on the lower
side and precipitation will decrees with height.

II.

The prevailing wind nature: if the wind the blows over the raised landscape is dry
then the raised landscape will receive little to precipitation compared to lowlands
where the prevailing with is wet and therefore, precipitation will not increase with
height.

c. The mean annual air temperature in Davis is 17 degrees C. Predict the mean annual air
temperature at Blue Canyon and at Donner Summit. Explain your reasoning.
Here, assuming that the average cooling which is always 6.5o C for every 1000 m
rise.
And Davis is at 17o C at 15 m
Blue canyon is at 1430 m and Donner summit is at 2200 m
Then temperature at Blue canyon will be given by 17—(6.5/1000)*1430
= 17-9
= 8o C
And the temperature at Donner summit will be = 17—(6.5/1000)*2200
= 17—14
= 3o C

Problem Set 3
ESM 120
Winter 2020
Due 2/26/20 at the beginning of your Discussion Section
Question 2: (12 points)
Consider the following two redox reactions in the nitrogen cycle:
a. NH4+ +...


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