Solutions To Assignments


Assignment 1 -                   

Sample responses to problems 

Problem 1:

Click here for a material flow diagram for mercury. The key feature to note in the material flow is that the inputs and outputs are distinctly out of balance. In particular point out the discrepancy between inputs and outputs in the chlor-alkali industry. Discuss whether the mercury might be accumulated in stockpiles in this sector and the uncertainties the data imply about the potential environmental sources of mercury. For a thorough discussion of the mercury flows, see:

R. Ayres, "The Life Cycle of Chlorine, Part I, Chlorine Production and the Chlorine-Mercury Connection", Journal of Industrial Ecology, 1 (1), 81-94 (1997)

R. U. Ayres and Leslie W. Ayres, "Accounting for Resources, 1" Edward Elgar, Cheltenham, UK (1998) (especially Chapter 8)

Problem 2:

Click here for a material flow diagram for arsenic. The key feature to note in the material flow is that, for the past 30 years, arsenic has been accumulated in "pressure treated lumber". Discuss how this arsenic might be collected as this lumber reaches the end of its useful life and the consequences of not collecting the lumber (leaching of arsenic from landfills and release of arsenic to the atmosphere during incineration).

Problem 3:

Click here for a material flow diagram for cadmium. The key feature to note in the material flow is the significance of battery use. Also discuss the fact that cadmium is "mined" exclusively as a by-product of zinc production. Point out that if cadmium is prohibited from use in batteries but zinc production continues to increase, cadmium may just be displaced from product waste to mine waste. Also note that a "hidden" cadmium flow (as a trace contaminant in phosphate fertilizer) overwhelms all other flows, yet is largely ignored. Have the students attempt to determine an average cadmium concentration in phosphate (100 ppm; USGS, 2003) and the total use of phosphate (15,000,000 tons per year in the U.S.; USGS, 2003) to estimate this hidden flow.

Problem 4:

Click here for the solution to this problem.


 Assignment 2 -                   

Sample responses to problems

Sample project reports are available below:

1.  Chromium Flows.doc   

2.  Platinum Flows.doc   

 

 

Grade Sheet for Material Flow Analysis Report >> Grade Sheet.pdf