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23-Chem-B10 Life Cycle Assessment (LCA) · Undated paper

Question 3 of 5: Estimation of Contaminant Effects – Golf-Course Pond 2,4-D Spill

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

National Exam 16-Chem-B10, Life Cycle Assessment (LCA) — undated sitting. 3 hours, Closed-Book Exam (approved calculator and one double-sided aid sheet permitted). Question 1 is mandatory (25 marks); any three (3) of the remaining four (Questions 2–5) constitute a complete paper, and only the first four questions as they appear in the answer book are marked. All five questions are solved below for completeness.

Table 1 (Question 2) repeats the same Price and Market values across unrelated compounds, so this solution computes the Economic Index from the Stoichiometric-factor and Cost columns only, and flags every place a value had to be assumed.

Reference texts: Baumann & Tillman, The Hitch Hiker's Guide to LCA; Graedel & Allenby, Industrial Ecology and Sustainable Engineering; Schwarzenbach, Gschwend & Imboden, Environmental Organic Chemistry, 3rd ed.; Mackay, Multimedia Environmental Models: The Fugacity Approach, 2nd ed.; American Conference of Governmental Industrial Hygienists (ACGIH), TLVs and BEIs; Peters & Timmerhaus, Plant Design and Economics for Chemical Engineers; Davis & Cornwell, Introduction to Environmental Engineering.

Question 3: Estimation of Contaminant Effects – Golf-Course Pond 2,4-D Spill (20 marks)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

Given.

QuantityValue
Mass of 2,4-D spilled100 g
Pond volume1.5×106 L (1500 m3)
Molecular weight (n-butyl ester)221.04 g/mol
log Kow2.41
Max. water solubility98 mg/L
EPIWIN reference LC50880 µmol/L
Fish meal consumed0.25 kg

Find. (a) meaning of BCF; (b) which EPIWIN datum drives the BCF estimate; (c) BCF; (d) trout LC50 via the guppy correlation; (e) whether the pond concentration exceeds LC50; (f) mass of 2,4-D ingested per 0.25 kg fish meal.

Approach. Use Eq. 3-2 with the given log Kow for BCF, Eq. 3-1 for the guppy/trout surrogate LC50, a simple dilution mass balance for the pond concentration, then BCF×Cwater×mass eaten for the ingested dose.

  1. (a) Meaning of bioaccumulation potential / BCF. The bioconcentration factor is the equilibrium ratio of a chemical's concentration in an organism's tissue to its concentration in the surrounding water, $BCF=C_{biota}/C_{water}$ (units L/kg, since it converts a mass-per-volume-water concentration into a mass-per-mass-tissue concentration). It quantifies the tendency of a lipophilic, poorly-metabolized/poorly-excreted compound to concentrate in fatty tissue faster than it is eliminated, so that the organism's internal concentration can substantially exceed the ambient water concentration — the mechanism that allows a contaminant present at a sub-toxic water concentration to still pose a dietary exposure risk to anything that eats the organism (directly relevant to part (f)).
  2. (b) Which EPIWIN datum drives the estimate, and why. The octanol-water partition coefficient, log Kow = 2.41, is the controlling datum. Kow measures a compound's relative affinity for a lipid-like (octanol) versus aqueous phase, which is the same partitioning behaviour that governs uptake into an organism's lipid-rich tissue; BCF correlates strongly with Kow for non-polar, non-ionizable, non-metabolized organics (Eq. 3-2 is exactly this correlation), so no separate biological measurement is required to obtain a screening-level BCF estimate.
  3. (c) Bioconcentration factor, Eq. 3-2. $$\log BCF=0.79(2.41)-0.40=1.9039-0.40=1.5039$$ $$BCF=10^{1.5039}=\boxed{31.9\ \text{L/kg}}$$
  4. (d) Trout LC50 via guppy surrogate, Eq. 3-1. $$\log(1/LC_{50})=0.871(2.41)-4.87=2.0991-4.87=-2.7709$$ $$1/LC_{50}=10^{-2.7709}=1.695\times10^{-3}\ \Rightarrow\ LC_{50}=590\ \text{mmol/L}=5.90\times10^5\ \mu\text{mol/L}$$ $$\boxed{LC_{50,\text{trout}}\approx 590\ \text{mmol/L} = 5.90\times10^{5}\ \mu\text{mol/L}\ \text{(guppy-correlation, surrogate for trout)}}$$ This is roughly 670× larger than the 880 µmol/L reference value EPIWIN reports directly (itself likely a different test species/endpoint); Eq. 3-1 is a baseline narcosis-mechanism QSAR, and 2,4-D esters are known to act through a more specific (non-narcotic) toxic mechanism in fish, so this correlation is expected to underestimate the compound's true acute toxicity (i.e. predict a higher, less conservative LC50) — a limitation to flag explicitly (see part (f) assumptions and the concept aside below).
  5. (e) Was the LC50 exceeded? Pond concentration from a simple dilution mass balance: $$C_{water}=\frac{100\ \text{g}}{1.5\times10^{6}\ \text{L}}=6.667\times10^{-5}\ \text{g/L}=0.0667\ \text{mg/L}=\frac{66.7\ \mu\text{g/L}}{221.04\ \text{g/mol}}=\boxed{0.302\ \mu\text{mol/L}}$$ Comparing to both LC50 estimates: $0.302\ \mu\text{mol/L}\ll5.90\times10^{5}\ \mu\text{mol/L}$ (Eq. 3-1 value, a factor of $\approx2\times10^{6}$ below) and $0.302\ \mu\text{mol/L}\ll880\ \mu\text{mol/L}$ (EPIWIN reference value, a factor of $\approx2900$ below). The LC50 was NOT exceeded by either estimate — the pond concentration is also well below the 98 mg/L (443 µmol/L) maximum water solubility, confirming the spilled mass is fully dissolvable in the pond volume with no free-phase residue expected.
  6. (f) Dietary ingestion from trout fish tacos. Fish tissue concentration from the BCF (part c) and pond concentration (part e): $$C_{fish}=BCF\times C_{water}=31.9\ \text{L/kg}\times0.0667\ \text{mg/L}=\boxed{2.13\ \text{mg/kg fish (wet weight)}}$$ Ingested mass for a 0.25 kg meal: $$m_{ingested}=C_{fish}\times m_{meal}=2.13\ \frac{\text{mg}}{\text{kg}}\times0.25\ \text{kg}=\boxed{0.532\ \text{mg 2,4-D per meal}}$$ Assumptions: instantaneous equilibrium partitioning between water and fish tissue (BCF is an equilibrium, not kinetic, ratio — a conservative simplification if the golfer's meal follows soon after the spill, since real bioaccumulation takes time to reach equilibrium and the true concentration could be lower); uniform, fully-mixed pond concentration with no sediment or biota compartment removing mass from solution (the question states significant sediment is present, which this simple 2-compartment water/fish balance conservatively ignores — a 3-compartment water/sediment/biota balance would partition some mass out of the water column and modestly reduce this estimate); the entire 0.25 kg fish portion is edible tissue at the same concentration as whole-body BCF predicts (no allowance for lower-fat edible fillet vs. whole-body lipid content); and no cooking-loss or degradation of 2,4-D during food preparation.
QuantityValue
(a) BCF definitionCbiota/Cwater at equilibrium
(b) Controlling EPIWIN datumlog Kow = 2.41
(c) BCF31.9 L/kg
(d) Trout LC50 (guppy surrogate, Eq. 3-1)590 mmol/L = 5.90×105 µmol/L
(e) Pond concentration after spill0.0667 mg/L = 0.302 µmol/L — LC50 NOT exceeded (either estimate)
(f) Fish tissue concentration2.13 mg/kg
(f) 2,4-D ingested (0.25 kg meal)0.532 mg