16-Civ-B5 Water Supply and Wastewater Treatment · December 2017
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Paper format. National Examination, December 2017 — 16-Civ-B5 Water Supply and Wastewater Treatment. Three hours; closed book with one aid sheet written on both sides; an approved calculator is permitted. Question 1 is compulsory and the candidate attempts any three of the remaining four questions. Every question carries 25 marks, so the paper is marked out of 100. A partial-flow chart for circular pipes is supplied on page 3 for use in Question 5. All five questions are solved below, because the set is a study resource rather than an exam script.
Reference texts for this subject.
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.
Part (a) — pH and disinfection efficiency (10 marks).
Given. Chlorine gas or hypochlorite applied to a water of variable pH; pKa of hypochlorous acid = 7.54 at 25 °C (7.58 at 20 °C); hydrolysis constant of Cl2 in water Kh = 4.5×10−4 at 25 °C. Find. Why the same applied chlorine dose is far more effective at pH 6 than at pH 8.5, expressed through the governing equilibria and quantified as a speciation and a CT penalty.
Chlorine added to water hydrolyses essentially completely at the pH of any treated supply:
$$\mathrm{Cl}_2 + \mathrm{H}_2\mathrm{O} \rightleftharpoons \mathrm{HOCl} + \mathrm{H}^{+} + \mathrm{Cl}^{-}, \qquad K_h = 4.5\times10^{-4}\ (\mathrm{p}K_h = 3.35)$$so molecular chlorine is negligible above about pH 4 and the free residual is the pair HOCl / OCl−. It is the second equilibrium that governs efficiency:
$$\mathrm{HOCl} \rightleftharpoons \mathrm{H}^{+} + \mathrm{OCl}^{-}, \qquad \mathrm{p}K_a = 7.54\ (25\ ^\circ\mathrm{C})$$Hypochlorous acid is a small, electrically neutral molecule and diffuses through the lipid cell wall; the hypochlorite ion carries a negative charge and is repelled by the likewise-negative cell surface, so it must act at the wall rather than inside the cell. The measured germicidal potency of HOCl is 80–100 times that of OCl−. The fraction present as the active species follows the Henderson–Hasselbalch form,
$$f_{\mathrm{HOCl}} = \frac{1}{1 + 10^{\,(\mathrm{pH} - \mathrm{p}K_a)}}$$which, evaluated across the operating range of a Canadian distribution system, produces the collapse that the question is asking about:
| pH | 6.0 | 7.0 | 7.5 | 8.0 | 8.5 | 9.0 |
|---|---|---|---|---|---|---|
| HOCl, % of free residual | 97.2 | 77.6 | 52.3 | 25.7 | 9.9 | 3.4 |
Raising the pH from 6.0 to 8.5 therefore removes about 90 % of the active disinfectant while the analyst still reports the same free residual in mg/L as Cl2. Disinfection tables respond in the same direction: the CT required for 2-log Giardia inactivation with free chlorine at 10 °C rises from roughly 50 to 110 mg·min/L over that pH range, a factor of 2.2. The factor is smaller than the speciation ratio because a residual measurement re-equilibrates as HOCl is consumed, so OCl− acts as a reservoir.
Two consequences follow directly, and both are worth stating because they are what a plant actually does. First, where lime softening or corrosion control has raised the finished-water pH above 8.5, the CT credit must be earned by more contact time or a higher residual — or by moving the chlorination point ahead of the pH adjustment. Second, chloramination inverts the sensitivity: because
$$\mathrm{NH}_3 + \mathrm{HOCl} \rightarrow \mathrm{NH}_2\mathrm{Cl} + \mathrm{H}_2\mathrm{O}$$proceeds fastest near pH 8.3 and dichloramine (odorous, and unstable) dominates below pH 7, a chloraminating plant deliberately holds the pH high. The pH that is worst for free-chlorine disinfection is the pH that is best for a stable combined residual, which is precisely why the two strategies are not interchangeable.
Part (b) — Significance and basis of selection of indicator organisms (15 marks).
The significance of indicator organisms is that direct pathogen monitoring is not a workable basis for protecting a water supply. Pathogens are episodic, appear at very low densities in a large volume, are diverse (bacterial, viral, protozoan), and are slow, costly and hazardous to culture. Waiting for a positive Salmonella or Cryptosporidium result means waiting until an outbreak is already underway. An indicator organism reverses the logic: instead of asking "is this specific pathogen present?", it asks "has this water been in contact with the faecal material that pathogens travel in?" That question can be answered every day, on every sample, by a simple culture, and it is the question that operational control actually needs.
The classical basis of selection is a list of criteria that an ideal indicator should satisfy, and the reasoning behind each is what earns the marks:
Applied to the candidates, these criteria explain the historical progression. Total coliforms are defined by a biochemical property (lactose fermentation with gas at 35 °C, or β-galactosidase activity) rather than by origin, and the group includes environmental genera such as Enterobacter and Klebsiella that grow on wood, soil and in distribution-system biofilm. They are therefore not faecally specific, and Health Canada now uses them as an indicator of treatment and distribution-system integrity rather than of faecal contamination. Thermotolerant (faecal) coliforms, cultured at 44.5 °C, are a much more specific subset, and Escherichia coli — identified by β-glucuronidase activity — is the only member of the group that is essentially exclusively faecal. That is why the Guidelines for Canadian Drinking Water Quality set the MAC for E. coli in drinking water at none detectable per 100 mL, with total coliforms used as a supplementary operational signal.
No single indicator is sufficient, and the marks are in saying why. E. coli is a vegetative bacterium and is far more sensitive to chlorine than the enteric viruses and the protozoan cysts and oocysts; a chlorinated water may be E. coli-free and still carry infective Cryptosporidium, as the Walkerton and North Battleford experience in Canada made plain. Modern practice therefore supplements the coliform test: enterococci for recreational and marine waters, where they survive salinity better and correlate better with swimmer illness; Clostridium perfringens spores and somatic coliphages as conservative surrogates for protozoa and viruses respectively, because their resistance to disinfection is comparable; and turbidity and particle counts as continuous, real-time surrogates for filtration performance, which is the barrier that actually removes oocysts. The underlying principle in all of this is the multi-barrier approach — the indicator verifies the barriers, and never replaces them.
| Item | Result |
|---|---|
| Governing equilibrium | HOCl ⇌ H+ + OCl−, pKa = 7.54 at 25 °C |
| Active fraction at pH 6.0 / 7.5 / 8.5 | 97.2 % / 52.3 % / 9.9 % HOCl |
| Loss of active species, pH 6.0 → 8.5 | Factor of 9.8; CT for 2-log Giardia rises about 2.2× |
| Ideal-indicator criteria | Faecal-specific, more numerous than pathogens, comparable persistence and disinfection resistance, no external regrowth, simple and safe assay |
| Canadian drinking-water standard | E. coli: none detectable per 100 mL (GCDWQ); total coliforms as a treatment/distribution integrity signal |