- Explain the bent structure of the water molecule and how hydrogen bonding produces its anomalous properties.
- Relate cohesion, adhesion, surface tension and capillarity to living systems.
- Interpret the density anomaly at 4 °C and its biological consequence in lakes and seas.
- Judge water quality from dissolved oxygen, pH and hardness, and discuss the sustainability of water resources.
🌳 Concept tree
01 Scientific terms
- Polar molecule: a molecule with a partial negative charge on one side and a partial positive charge on the other, as in H₂O.
- Hydrogen bond: the weak electrostatic attraction between a hydrogen atom covalently bonded to O, N or F and a lone pair on another electronegative atom.
- Cohesion: attraction between like molecules (water–water); adhesion is attraction between unlike surfaces (water–glass).
- Surface tension: the energy needed to increase the surface area of a liquid by one unit; it is the result of cohesion at the surface.
- Capillarity: the rise or fall of a liquid in a narrow tube caused by adhesion to the walls together with cohesion within the liquid.
- Hardness: the dissolved calcium and magnesium salts in water; temporary hardness is due to bicarbonates, permanent hardness to sulfates and chlorides.
- Dissolved oxygen (DO): the amount of O₂ free in water, typically 4–14 mg/L; it indicates the health of an aquatic ecosystem.
- Biological oxygen demand (BOD): the oxygen needed by micro-organisms to decompose the organic matter in a volume of water; high BOD means pollution.
- Virtual water: the water embedded in a produced commodity — 1 kg of wheat needs about 1,000–1,500 L of water.
02 Laws and quantitative relations
- Heat relation: Q = m·c·ΔT with cwater = 4184 J/(kg·°C) = 1 cal/(g·°C) — the highest specific heat of any common liquid.
- Latent heat of vaporisation: 2,260 kJ/kg at 100 °C (≈ 540 cal/g); evaporation of 1 g of sweat removes about 580 cal from the skin.
- Latent heat of fusion: 334 kJ/kg (80 cal/g) of ice.
- Density: ρ = 1.000 g/cm³ at 4 °C (maximum), 0.917 g/cm³ for ice at 0 °C — ice is therefore about 9% lighter and floats.
- Capillary rise: h = 2γcosθ/(ρgr) — the narrower the tube, the higher the rise.
- Water footprint: consumption per capita per year; below 1,000 m³ a country is in water poverty, below 500 m³ under absolute scarcity (Egypt is under this line and meets the gap by virtual-water imports).
03 Molecular structure and hydrogen bonding
Oxygen's electron configuration is 1s² 2s² 2p⁴; it needs two electrons to complete its shell, so it shares them with two hydrogen atoms. The four electron pairs around oxygen are sp³ hybridised, but two of them are lone pairs, so the molecule is bent (V-shaped) with an H–O–H angle of 104.5°, not tetrahedral 109.5°.
- Oxygen (EN 3.5) attracts the shared electrons more strongly than hydrogen (EN 2.1), so oxygen carries a partial negative charge δ− and each hydrogen a partial positive charge δ+ — the molecule is a dipole.
- Each water molecule can form up to four hydrogen bonds with its neighbours: two through its hydrogen atoms and two through the lone pairs of oxygen.
- In the liquid the bonds break and reform about 10¹² times a second; in ice the network is fixed and open, which is why ice is less dense.
- Hydrogen bonding also explains the anomalously high boiling points of the hydrides of group 16: H₂O (100 °C) far above H₂S (−60 °C), H₂Se and H₂Te.
Give the reason: water has a high boiling point and a high specific heat. Because energy is first consumed in breaking the network of hydrogen bonds between the molecules before they can separate or move faster.
04 Unique properties: solubility, surface tension and capillarity
- Universal solvent for polar and ionic substances. Water molecules surround ions with their oppositely charged ends (hydration shells) and pull them apart; NaCl dissolves, while non-polar oils and fats do not — "like dissolves like". Ions are therefore electrolytes and conduct the current.
- Cohesion and adhesion. Hydrogen bonds hold water molecules together (cohesion) and to the walls of a xylem vessel or a glass tube (adhesion). Together they give high tensile strength to the water column.
- Surface tension lets a needle float, makes water striders walk on ponds, and produces the beading of droplets on a waxed surface. Detergents lower surface tension and allow water to wet grease.
- Capillarity raises water in the fine tubes of plant xylem and in soil, counter part of transpiration pull.
- Thermal buffering. High specific heat moderates coastal climates and keeps the body temperature constant; high latent heat of vaporisation makes sweating an effective cooling mechanism.
- Transparency to visible light lets algae and aquatic plants photosynthesise, while water absorbs infrared and ultraviolet — the protection of organisms below the surface.
05 The density anomaly and its biological meaning
Most substances contract continuously on cooling. Water contracts until 4 °C and then expands on further cooling because the open hydrogen-bonded lattice of ice holds the molecules farther apart than the liquid does.
- Consequence: at 0 °C ice floats and forms an insulating lid on lakes and seas, so the water below stays near 4 °C and aquatic life survives the winter.
- In deep lakes in cold regions, water turns over twice a year because of this density maximum — spring and autumn overturn — which brings oxygen down and nutrients up.
- Without the anomaly, ice would sink, lakes would freeze from the bottom up and freshwater ecosystems would not exist in cold climates.
- Same principle applied: water pipes burst, and rocks crack by frost shattering — a case of mechanical weathering.
06 Aquatic ecosystems, water quality and sustainability
A lake or a river is an ecosystem in which the food chain runs from phytoplankton (producers) to zooplankton (primary consumers), small fish, large fish and top predators. Energy moves one way and is lost at each trophic level as heat, giving the classic 10% rule: only about one tenth of the energy of a level reaches the next.
- Good-quality fresh water: pH 6.5–8.5, DO above 5 mg/L, low BOD, low turbidity and no pathogenic coliforms.
- Eutrophication: excess nitrates and phosphates from fertilisers and detergents cause an algal bloom; the algae die, bacteria decompose them, BOD rises, DO falls and fish die — the water becomes septic and anaerobic.
- Thermal pollution from power stations lowers the solubility of oxygen and speeds metabolism, worsening the oxygen deficit.
- Sustainable use: lining canals and pipes to stop seepage, drip and sprinkler irrigation instead of flooding, treated sewage re-use for agriculture, industrial cooling loops, rainwater harvesting and desalination of seawater for drinking.
- The water–energy–food nexus: pumping, desalinating and treating water all consume energy, so saving water saves energy and cuts carbon emissions at the same time.
07 Comparison tables
- Cohesion vs adhesion — like vs unlike molecules; responsible for surface tension and the unbroken water column vs responsible for wetting, capillary rise and meniscus shape.
- Temporary vs permanent hardness — Ca(HCO₃)₂ removable by boiling (it decomposes to CaCO₃↓) vs CaSO₄/MgSO₄ not removed by boiling, removed by washing soda Na₂CO₃ or by ion-exchange resin.
- Soft vs hard water — lathers easily with soap, dangerous to boilers if used directly vs forms scum with soap (calcium stearate), wastes detergent, and is better for drinking.
- Surface water vs groundwater — rivers, lakes and reservoirs exposed to pollution and evaporation vs aquifers that are filtered and protected but refill extremely slowly, so over-pumping is mining, not use.
- Distilled vs mineral water — pure H₂O, no minerals, flat taste, used in laboratories and batteries vs contains dissolved salts needed by the body.
08 Worked examples
- How much heat raises 2 kg of water from 20 °C to 100 °C? — Q = 2 × 4184 × 80 = 669,440 J ≈ 669 kJ.
- How much steam is needed to cool a 70 kg athlete by 2 °C by sweating alone (assume no other loss)? — Q = 70 × 3500 × 2 ≈ 490 kJ (body tissue c ≈ 3500 J/kg·°C), mass of water = 490,000 / 2,400,000 ≈ 0.2 kg = 200 mL.
- A water sample gives an effervescence with dilute HCl and a white precipitate on boiling. Identify the hardness. — Temporary hardness due to calcium bicarbonate.
- A capillary of radius 0.2 mm is dipped in water (γ = 0.073 N/m, θ = 0°). Find the rise. — h = 2γ/(ρgr) = 2(0.073)/(1000 × 9.8 × 2×10⁻⁴) ≈ 7.4 cm.
- A family uses 0.25 m³ of water a day. Its annual volume, and how it compares with the water footprint of 1 kg of beef (about 15,000 L)? — 0.25 × 365 = 91 m³/yr, so one kilogram of beef costs about 5 months of the family's domestic water.
09 Ministry exam traps
- 104.5°, not 109.5°. The lone pairs push the bonding pairs closer, so the angle is smaller than a perfect tetrahedron.
- Maximum density is at 4 °C, not at 0 °C. Questions exchange the two temperatures.
- Ice floating is a density argument, not a temperature one; state it as "because the density of ice is less than that of water".
- Water is not a universal solvent. It dissolves polar and ionic substances only — non-polar fats are excluded.
- Hydrogen bonds are intermolecular (between molecules), not the covalent O–H bond inside the molecule.
- Temporary hardness is removed by boiling; permanent is not. Reversing this is a classic objective error.
- Eutrophication kills by oxygen depletion, not because the algae are poisonous — the damage is done by the decomposing bacteria.
