PROBLEM SETS

Problem set 1.  Due Sept. 10

1. page 23,  # 1.

2. page 23 # 3;

3. Write a balanced equation for the microbial oxidation of octane to CO2.

4. page 77, # 3

5. page 77, # 4


Problem set 2.  Due Sept. 19

1. Using the data for the Berino soil in the lecture notes answer the following questions. a) If 5 cm of water are ponded on the a 10 cm column of soil, (diameter = 5 cm) what will be the rate of water flow, in L d-1, from the column under saturated conditions.  What is the pore water velocity if the porosity is 0.4?  First calculate the Darcy velocity, then calculate the pore water velocity.

2.  Two piezometric wells, wells designed to allow good measurement of water table height, are 100 m apart and the surface of the water table in well 1 is measured at -10.0 m relative to a benchmark on the surface.  The water table in well 2 is at -10.25 m. The hydraulic conductivity in the aquifer is 5.0 m d-1.  Bromide (Br-) is added to well 1 as potassium bromide. (Bromide does not degrade nor adsorb to soil particles and can be used as a tracer).  In how many days will you expect bromide to appear at well 2 assuming plug flow (no dispersion).  How might dispersion affect the appearance of bromide?  Hint: First calculate the Darcy velocity, then calculate the groundwater (pore water) velocity. Assume effective porosity = 0.3.




3. Using the data in problem 2 and the Bioscreen computer program simulate the development of a Br plume over 10 years.  Use default dispersivities and retardation factor of 1 (no adsorption).  Leave the default water table thickness at 10 ft.    Br solution is added as a 1000 mg/L solution which defines the solution concentration at plus and minus 14 ft  from the centerline of the axis of flow at time zero.  At greater distances the initial concentrations are zero.  Total added Br = 10 kg .  Effective porosity = 0.3.   Since Br- does not degrade, ignore the the degradation components and just look the nondegradation output plots.   Report your input hydrologic parameters.  Print the results of concentration plot along the length of the plume after 10 years.  Have a look at the animation. If the edge of the plume is defined by 1 ppm Br what are the leading edge and trailing edge distances from  the source and  what is the maximum width of  the plume.  You will have to play with the plume length and width settings.

Note:  You may have to reset the secrurity level for your Excel program, so you can run the macros.  Use the tools pull-down menu.  The program does not work well on a Mac computer.

Problem set 3.  Due Oct. 1.

1. A solution contains 0.0010% cadmium (wt/wt).  Express concentration in water as:

g L
-1
mg L
-1
microgram L-1
nanogram L-1 

ppm
ppb
ppt

M (molar)
m mol L-1
micro mol L-1
nanogram L-1 

2.  If soil water contains trichloroethene (TCE) at 0.5 mg L-1 what is the equilibrium concentration of the TCE in the soil air.       Use TOXNET for any data you might need.  The Henry's Law constant in TOXNET is atm-m3/mol.  This requires soluble concentration of in mol/m3 (1000 L  = 1 m3 ).  The answer then will be in partial pressure units in atmospheres.


3. The tabulated Koc for naphthalene sorption in soil is 870 L/kg. A soil analysis shows a contaminated soil to contain 50 mg kg-1 of naphthalene and has 2% organic carbon.   What is the retardation coefficient for a soil with a bulk density of  1.3 g/cm3 and a volumetric water content of 30%.  Comment on the mobility of naphthalene in soils

4. A herbicide with a half-life of 14 days in soil is added to a soil.
   What is the fraction of herbicide remaining after 21 days?  Hint: First calculate the rate constant.

5 and 6. Use the Bio Screen model for the estimation of concentration distribution with distance from a spill of toluene in a shallow aquifer after 1, 5 and 10 years following the spill of 300 kg of toluene through a small hole in an underground pipe. Initial concentration +/- 10 ft from source is 1/4 the solubility limit,  and it drops off beyond that .  The aquifer is anaerobic and first order biodegradation takes place at at the rate reported for anaerobic degradation in TOXNET.  The hydraulic conductivity is 10.0 m/d and the gradient is 0.5 ft per 100 ft in a shallow aquifer at 10 ft from the surface.  The organic C in the aquifer is 0.1% and the bulk density is 1.7 g/cm3.  The aquifer is 15 ft thick.  Use the default dispersion data in Bio Screen. You can work in pairs on this problem. Assume and effective porosity of 0.3.

In the box where you set the distances from the centerline of the initial plume use 10, 30 and 60 ft.  Thus the "center" is at 10 feet (this is actually plus or minus 10 feet). You will sometimes get odd results if this is set this to zero.  Enter a concentration of 1/4 the solubility.  At 30 ft enter 1/8 the solubility and at 60 ft enter 0.

Change the simulation time to 10 years and report the results at 1, 5, and 10 years.  You will need to look at quite a long plume length to find out how far the TCE will move.

Model the centerline and the lateral spread of the plume (see Array). Show the development of the plume at 1, 5, and 10 years.  Show your input values. What is the seepage (groundwater) velocity?  What is the first order decay constant?

Problem set 4.  Due Oct. 21.

1 and 2. Use the data in IRIS to estimate a the maximum  allowable concentration of As in drinking water for a lifetime  exposure to a single source of water.  Use standard exposure assumptions and assume the water is the only exposure to As.  Calculate the allowable concentration two ways; 1) assume non cancerous risk only and use the RfD for oral exposure, 2) assume cancerous risk only and use the slope factor for oral exposure.  Assume a 50 kg adult.  Compare with the current MCL.  For #2 assume the standard upper bound for cancer risk of 10-5  (1 in a hundred thousand)

3 and 4. Soil data from a highly contaminated site show  mean concentrations of;  Pb = 500 ppm, Sb (antimony) = 25 ppm, barium = 1000 ppm, beryllium = 50 ppm, cadmium = 25 ppm, copper = 10 ppm, nickel = 125 ppm, thallium = 3 ppm,  tin = 8000 ppm, 1, 2 dicholro benzene 25 ppm, 1, 3 dicholor benzene = 25 ppm, pentachorophenol = 5 ppm and benzo [a] pyrene 1.5 ppm and PCB = 1 ppm.  Evaluate the risk to human health for two possible future land uses;  industrial (industrial chronic exposure)  and residential.  Use the MPCA Tier 2 Soil Risk Assessment spreadsheet.  What is are the hazard quotients for  target organs and increased cancer risk for each scenario.

Given the assumption of no excess cancer risk of greater that 10-5 and the MPCA assumptions for non-cancer risk, will cleanup be needed?  Suggest reasonable cleanup goals. Explain the differences between the different results for the different land uses.  You can work in pairs on this.


Problem set 5.  Due Nov. 5

1. problem 1. p. 311  Assume first order decay.

2. problem 3.  p. 311

5. problem 9. p.  449

4. Use the data from lecture for dairy manure to calculate the quantity of anaerobic liquid manure application using, a) N-need based  application and b) P-need based application. Assume 20% volatile losses.   Apply to corn assuming that that all of the ammonium N is available and use the availability for organic N (mineralization)  given in lecture for the first year after application. Assume the manure is injected.  Assume the soil test calls for an application of 50 lb/ac of P2O5. Assume the corn will require 200 lb/ac of N and the soil will supply little N.  Calculate in lb and acre units .

Problem set 6.  Due Nov. 24

1.  Chose one pesticide from each of three categories, urea, organo phosphate and phenoxy compounds, and report structural formula, use, mobility (including Koc), persistence (including half-life in soils and water), and toxicity.

2. How would you report these experimental results with the proper significant figures?  For a review of significant figures see http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch1/sigfigs.html


a. An object weighs exactly 1 gram on a scale precise to the nearest mg.

b. You pipet out a liquid from a pipet calibrated to deliver 25 mL ± 0.1 mL.

c. You are asked to weigh out 4 to 5 g of a chemical to the nearest 0.1 g and the scale reads 4.512.
d. You calculate a density by dividing 34.7 g by 25  cm3.

e. The lab reports a raw number of 3.5567  mg/kg for As in soils with a precision of  2%.  How would you report this value?


3. Suppose you want to randomly sample a 10 m x 10 m  site , taking 10 samples.  Divide the area into 1 m x 1 m grid points and use a random number generator. (Use RAND function in EXCEL or random number generator on a scientific calculator.) State exactly the procedure you used and show which grid points are to be sampled.


4. Use the data in problem 1,  p. 182 to calulate mean, variance, standard deviation,  coefficient of variation and 95% confidence interval.

5.   Problem 2, p. 182


Problem Solutions

Prob. Set 1

Prob. Set 2

Prob. Set 3

Prob. Set 4

Prob. Set 5

Prob. Set 6