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.
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.
(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)).
(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.
(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).
(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.
(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.