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Chapter 4 · 6 hours

Water pollution

Practice questions

Practice questions and answers

6 exam-style questions on this chapter, written for this site from the official syllabus. We haven’t found past IOE papers for this subject yet; if you have some, share them in the community.

  • Practice · 5 marks

Define water pollution. Describe the major sources and types of water pollutants and their effects on human health and aquatic life.

Answer

Water pollution is the contamination of water bodies (rivers, lakes, groundwater, oceans) by substances that degrade its quality and make it unfit for its intended use, harming humans and aquatic life.

Sources

  • Point sources: discharge from a specific location: sewage outfalls, industrial effluents (tannery, textile, distillery, paper), hospital waste.
  • Non-point sources: diffuse runoff from agricultural land (fertilizer, pesticides), urban storm water, mining areas and open dumping.

Types of pollutants and their effects

PollutantSourceEffect
Pathogens (bacteria, viruses, protozoa)Untreated sewage, animal wasteCholera, typhoid, dysentery, hepatitis
Oxygen-demanding organic matterSewage, food industriesFall of dissolved oxygen; fish kill; odour
Nutrients (N, P)Fertilizer, detergents, sewageEutrophication, algal blooms, nitrate in drinking water (blue baby syndrome)
Heavy metals (Pb, Hg, Cd, As)Mining, batteries, industriesToxic, bioaccumulate (Minamata, Itai-itai); arsenic in groundwater
Toxic organics (pesticides, PCBs)Agriculture, industryCancer, biomagnification in food chains
Suspended solids / sedimentErosion, constructionTurbidity, reduced light, siltation
HeatPower plant cooling waterLower oxygen solubility, harm to fish
Acids / alkalisIndustry, mine drainageChange of pH, harm to aquatic life

Water-borne diseases are the main health burden in developing countries; the aquatic ecosystem suffers from oxygen depletion, loss of species and eutrophication.

  • Practice · 4 marks

Describe the important physical, chemical and biological parameters used to assess water quality. Mention the typical limits of the National Drinking Water Quality Standards of Nepal.

Answer

Water quality is judged by comparing measured parameters with standards for the intended use. Nepal's National Drinking Water Quality Standards (NDWQS, 2062 BS / 2005) give the maximum concentration allowed for drinking water; the values below are typical limits (as per NDWQS).

GroupParameterSignificanceNepal NDWQS limit
PhysicalTurbidityCloudiness from suspended matter; shields microbes5 NTU (10 NTU in small systems)
PhysicalColour, taste, odourAcceptability5 TCU colour; no objectionable taste/odour
PhysicalTemperatureAffects reaction rates, oxygen-
ChemicalpHAcidity/alkalinity, corrosion6.5-8.5
ChemicalTotal dissolved solidsMineral content, taste1000 mg/L
ChemicalChlorideSalinity, taste250 mg/L
ChemicalNitrateBlue baby syndrome50 mg/L
ChemicalIronTaste, staining0.3 mg/L (3 mg/L max)
ChemicalArsenicToxic, carcinogenic0.05 mg/L
ChemicalAmmoniaPollution indicator1.5 mg/L
ChemicalDO, BOD, CODOrganic pollution- (stream standards)
BiologicalE. coli / thermotolerant coliformFaecal contamination indicator0 per 100 mL
BiologicalTotal coliformGeneral bacterial quality0 per 100 mL

The bacteriological test is the most important since pathogens cause immediate disease; coliforms are used as indicator organisms because they are easy to detect and live in the human gut.

  • Practice · 3+5 marks

(a) Differentiate between BOD and COD. (b) 10 mL of a wastewater sample is diluted to 300 mL with dilution water. The initial dissolved oxygen is 8.6 mg/L and after 5 days at 20 degrees C it is 4.1 mg/L. Calculate the 5-day BOD. If the reaction rate constant k = 0.23 per day (base e), find the ultimate BOD. (c) In a COD test, 20 mL of the same sample required 14.0 mL of 0.1 N ferrous ammonium sulphate (FAS), while the blank required 24.0 mL. Calculate the COD and the BOD5/COD ratio.

Answer

(a) BOD and COD

BasisBODCOD
MeaningOxygen used by microorganisms to oxidise biodegradable organic matterOxygen equivalent of organic matter oxidised by a strong chemical oxidant
OxidantBacteria (biological)Potassium dichromate in boiling acid (chemical)
Time5 days at 20 ∘^\circC2-3 hours
MeasuresOnly biodegradable matterBiodegradable plus non-biodegradable matter
ValueLowerHigher (COD ≥\ge BOD)
UsePollution strength, design of biological treatmentQuick control test; toxic wastes

(b) BOD5 and ultimate BOD

Dilution factor P=volume of samplevolume of mixture=10300=0.0333P = \dfrac{\text{volume of sample}}{\text{volume of mixture}} = \dfrac{10}{300} = 0.0333.

BOD5=D1−D2P=8.6−4.10.0333=135 mg/L\text{BOD}_5 = \frac{D_1 - D_2}{P} = \frac{8.6 - 4.1}{0.0333} = 135\ \text{mg/L}

First-order law: BODt=L0 (1−e−kt)\text{BOD}_t = L_0\,(1 - e^{-kt}), so

L0=BOD51−e−0.23×5=1351−e−1.15=1351−0.3166=197.6 mg/LL_0 = \frac{\text{BOD}_5}{1 - e^{-0.23\times5}} = \frac{135}{1 - e^{-1.15}} = \frac{135}{1 - 0.3166} = 197.6\ \text{mg/L}

(c) COD

COD=(A−B)×N×8000Vsample\text{COD} = \frac{(A - B)\times N \times 8000}{V_{sample}}

where AA = blank (24.0 mL), BB = sample titre (14.0 mL), 8000 is the equivalent weight of oxygen in mg/eq.

COD=(24.0−14.0)×0.1×800020=400 mg/L\text{COD} = \frac{(24.0 - 14.0)\times0.1\times8000}{20} = 400\ \text{mg/L} BOD5COD=135400=0.34\frac{\text{BOD}_5}{\text{COD}} = \frac{135}{400} = 0.34

A ratio of about 0.34 indicates that a considerable part of the organic load is not easily biodegradable (domestic sewage is about 0.4-0.8).

Answer: BOD5_5 = 135 mg/L; ultimate BOD L0L_0 = 198 mg/L; COD = 400 mg/L; BOD5_5/COD = 0.34.

  • Practice · 6 marks

What is the oxygen sag curve? Explain the deoxygenation and reaeration processes, the zones of a polluted river and the factors on which the critical point depends. Write the equations for the dissolved oxygen deficit.

Answer

When organic waste enters a river, bacteria oxidise it and use up dissolved oxygen (DO) from the water (deoxygenation), while the stream takes oxygen from the atmosphere (reaeration). The plot of DO against time or distance downstream of the discharge point is the oxygen sag curve. It is a "sag" because DO first falls to a minimum and then recovers.

 DO
 DOsat |------\                      _______ recovery
       |       \                  _--
       |        \              _-
       |         \          _-
 DOmin |...........\______--  <- critical point (tc)
       |  clean | degrad. | active decomp. | recovery | clean
       +---------------------------------------> distance/time

Processes

  • Deoxygenation rate =k1Lt= k_1 L_t where Lt=L0e−k1tL_t = L_0 e^{-k_1 t} is remaining BOD (first order, k1k_1 = deoxygenation constant, d−1d^{-1}).
  • Reaeration rate =k2D= k_2 D where D=DOsat−DOD = DO_{sat} - DO is the oxygen deficit (mg/L) and k2k_2 the reaeration constant.
  • Net change of deficit:
dDdt=k1L0e−k1t−k2D\frac{dD}{dt} = k_1 L_0 e^{-k_1 t} - k_2 D

Integrating gives the Streeter-Phelps equation:

Dt=k1L0k2−k1(e−k1t−e−k2t)+D0e−k2tD_t = \frac{k_1 L_0}{k_2 - k_1}\left(e^{-k_1 t} - e^{-k_2 t}\right) + D_0 e^{-k_2 t}

The critical time (at dD/dt=0dD/dt = 0) and deficit are:

tc=1k2−k1ln⁡[k2k1(1−D0(k2−k1)k1L0)],Dc=k1k2L0e−k1tct_c = \frac{1}{k_2 - k_1}\ln\left[\frac{k_2}{k_1}\left(1 - \frac{D_0 (k_2 - k_1)}{k_1 L_0}\right)\right], \qquad D_c = \frac{k_1}{k_2}L_0 e^{-k_1 t_c}

Zones of a polluted river

  1. Clean zone (upstream), 2. Zone of degradation (turbid water, DO falling), 3. Zone of active decomposition (DO lowest, may be zero, foul smell, anaerobic), 4. Zone of recovery (DO rising, fish return), 5. Zone of clean water.

Factors affecting the critical point

  • Waste load (L0L_0) and initial deficit (D0D_0): more waste, lower DO.
  • k1k_1 and k2k_2: reaeration is higher in fast, shallow, turbulent streams, so the sag is smaller.
  • Temperature (lower solubility and faster decay at high temperature), stream velocity and depth, and DO of the river water upstream.
  • Practice · 8 marks

A town discharges treated sewage into a river. After mixing, the BOD ultimate of the river water is L0 = 20 mg/L and the initial oxygen deficit is D0 = 2 mg/L. The saturation DO is 9.1 mg/L, deoxygenation constant k1 = 0.2 per day and reaeration constant k2 = 0.4 per day (base e, at the river temperature). The river flows at 0.3 m/s. Calculate (a) the critical time, (b) the critical deficit and the minimum DO, (c) the distance downstream at which the minimum DO occurs, (d) the DO deficit after 1 day.

Answer

Given: L0=20L_0 = 20 mg/L, D0=2D_0 = 2 mg/L, DOsat=9.1DO_{sat} = 9.1 mg/L, k1=0.2 d−1k_1 = 0.2\ d^{-1}, k2=0.4 d−1k_2 = 0.4\ d^{-1}, u=0.3u = 0.3 m/s.

(a) Critical time

tc=1k2−k1ln⁡[k2k1(1−D0(k2−k1)k1L0)]t_c = \frac{1}{k_2 - k_1}\ln\left[\frac{k_2}{k_1}\left(1 - \frac{D_0(k_2 - k_1)}{k_1 L_0}\right)\right] D0(k2−k1)k1L0=2×0.20.2×20=0.1tc=10.2ln⁡[2 (1−0.1)]=5ln⁡(1.8)=5×0.5878=2.94 days\begin{aligned} \frac{D_0(k_2 - k_1)}{k_1 L_0} &= \frac{2\times0.2}{0.2\times20} = 0.1 \\ t_c &= \frac{1}{0.2}\ln\left[2\,(1 - 0.1)\right] = 5\ln(1.8) = 5\times0.5878 = 2.94\ \text{days} \end{aligned}

(b) Critical deficit and minimum DO

Dc=k1k2L0 e−k1tc=0.20.4×20×e−0.2×2.94=10×e−0.5878=10×0.5556=5.56 mg/LD_c = \frac{k_1}{k_2}L_0\,e^{-k_1 t_c} = \frac{0.2}{0.4}\times20\times e^{-0.2\times2.94} = 10\times e^{-0.5878} = 10\times0.5556 = 5.56\ \text{mg/L} DOmin=DOsat−Dc=9.1−5.56=3.54 mg/LDO_{min} = DO_{sat} - D_c = 9.1 - 5.56 = 3.54\ \text{mg/L}

(c) Distance

Velocity =0.3×86 400=25 920= 0.3\times86\,400 = 25\,920 m/day.

xc=25 920×2.94=76 200 m≈76 kmx_c = 25\,920 \times 2.94 = 76\,200\ \text{m} \approx 76\ \text{km}

(d) Deficit after 1 day

D1=0.2×200.4−0.2(e−0.2−e−0.4)+2 e−0.4=20 (0.8187−0.6703)+2×0.6703=2.968+1.341=4.31 mg/L\begin{aligned} D_1 &= \frac{0.2\times20}{0.4 - 0.2}\left(e^{-0.2} - e^{-0.4}\right) + 2\,e^{-0.4} \\ &= 20\,(0.8187 - 0.6703) + 2\times0.6703 = 2.968 + 1.341 = 4.31\ \text{mg/L} \end{aligned}

DO after 1 day =9.1−4.31=4.79= 9.1 - 4.31 = 4.79 mg/L.

Time (days)012.94 (critical)
Deficit D (mg/L)2.004.315.56
DO (mg/L)7.104.793.54

Answer: tct_c = 2.94 days; DcD_c = 5.56 mg/L; minimum DO = 3.54 mg/L; at about 76 km downstream; deficit after 1 day = 4.31 mg/L. The minimum DO is below the 4-5 mg/L usually needed for fish, so further treatment would be needed.

  • Practice · 8 marks

Describe with a flow diagram the stages of a conventional municipal wastewater treatment plant (preliminary, primary, secondary and tertiary treatment) and explain the working of the activated sludge process.

Answer

Municipal wastewater (sewage) is treated to remove solids, organic matter, nutrients and pathogens before discharge or reuse.

Raw sewage
   |
 [Screen] -> [Grit chamber]          PRELIMINARY
   |
 [Primary sedimentation tank] -> sludge ---+   PRIMARY
   |                                       |
 [Aeration tank] <--return sludge--+       |   SECONDARY
   |                              |        |
 [Secondary clarifier] -> excess sludge ->[Digester]->drying bed
   |
 [Disinfection (chlorine/UV)]               TERTIARY
   |
 Treated effluent -> river / reuse

Preliminary treatment

  • Screens (bar racks) remove rags, plastics and large floating matter.
  • Grit chamber (velocity about 0.3 m/s) settles sand and gravel; skimming removes oil and grease. It protects pumps and pipes.

Primary treatment

  • Primary sedimentation (detention 1.5-2.5 h) settles suspended solids by gravity. It removes about 60% of SS and 30-35% of BOD. The settled sludge goes to the digester.

Secondary (biological) treatment

Removes dissolved and colloidal organic matter using microorganisms: activated sludge process, trickling filter, oxidation ponds, aerated lagoons. It removes 85-95% of BOD.

Activated sludge process: effluent from the primary tank is mixed with a recycled "activated" sludge rich in bacteria in the aeration tank, to which air is supplied by diffusers or surface aerators for 4-8 h. Bacteria oxidise the organic matter and form flocs. The mixture goes to a secondary clarifier where the flocs settle; part of the sludge (return activated sludge, RAS) goes back to maintain the biomass (MLSS about 2000-3000 mg/L), and the rest (waste sludge) is treated. Key design parameters: F/M ratio, sludge age and detention time.

Tertiary (advanced) treatment

  • Removes nutrients (nitrogen and phosphorus), remaining solids (sand filtration) and pathogens by disinfection (chlorination, UV, ozone). Used when effluent standards are strict or the water is reused.

Sludge treatment

Thickening, anaerobic digestion (producing biogas), drying beds and then land application or disposal.

Written from the official syllabus. Questions and answers are written for this site; check them against your class notes.

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