15

The Group 15 Elements

The Group 15 elements—nitrogen, phosphorus, arsenic, antimony, and bismuth—are some of the most important elements for life, geology, and industry. They range from gaseous nitrogen to metallic bismuth, sometimes called the pnictogens (from the Greek for 'to stifle').

5B
6C
7N
8O
9F
13Al
14Si
15P
16S
17Cl
31Ga
32Ge
33As
34Se
35Br
49In
50Sn
51Sb
52Te
53I
81Tl
82Pb
83Bi
84Po
85At

Part A: The Essentials

The properties of the Group 15 elements are diverse and more difficult to rationalize in terms of atomic radii and electron configuration than the p-block elements encountered so far. The usual trends of increasing metallic character down a group and stability of low oxidation states at the foot of the group are still evident but they are complicated by the wide range of oxidation states available.

15.1 The Elements

Key Point: Nitrogen is a gas; the heavier elements are all solids that exist in several allotropic forms.

All members of the group other than N are solids under normal conditions. However, the trend to increasing metallic character down the group is not clear-cut because the electrical conductivities of the heavier elements actually decrease from As to Bi.

N
Nitrogen
M.P. −210°C
χ = 3.0
Diatomic gas
P
Phosphorus
M.P. 44°C (white)
χ = 2.2
Multiple allotropes
As
Arsenic
613°C (sublimes)
χ = 2.2
Metalloid
Sb
Antimony
M.P. 630°C
χ = 2.0
Metalloid
Bi
Bismuth
M.P. 271°C
χ = 2.0
Metal

Properties Table

Property N P As Sb Bi
Atomic radius/pm 74 110 121 141 170
First ionization energy/kJ mol⁻¹ 1402 1011 947 833 704
Electrical conductivity/10⁶ S m⁻¹ 10 3.33 2.50 0.77
Electron affinity/kJ mol⁻¹ −8 72 78 103 105
B(E−H)/kJ mol⁻¹ 390 322 297 254

Allotropes of Phosphorus

White Phosphorus (P₄)
Waxy solid, tetrahedral P₄ molecules with 60° bond angles. Very reactive, bursts into flame in air.
Red Phosphorus
Amorphous solid formed by heating white P at 300°C. Complex 3D network. Does not ignite readily in air.
Black Phosphorus
Thermodynamically most stable form below 550°C. Puckered layers with pyramidal P atoms.
P₄ (Td symmetry)
P−P: 221 pm, ∠60°

Arsenic exists in two solid forms: yellow arsenic (tetrahedral As₄ molecules) and grey/metallic arsenic (more stable, puckered hexagonal layers). Bismuth has recently been found to be radioactive, decaying by α emission with a half-life of 1.9 × 10¹⁹ years.

Natural Occurrence: Nitrogen makes up 78% by mass of the atmosphere. Phosphorus is found as fluorapatite, Ca₅(PO₄)₃F, and hydroxyapatite, Ca₅(PO₄)₃OH. The chemically softer elements As, Sb, and Bi are often found in sulfide ores such as realgar (As₄S₄), orpiment (As₂S₃), stibnite (Sb₂S₃), and bismuthinite (Bi₂S₃).

15.2 Simple Compounds

Key Point: The Group 15 elements form binary compounds on direct interaction with many elements. Nitrogen achieves oxidation number +5 only with oxygen and fluorine. Oxidation state +5 is common for phosphorus, arsenic, and antimony but rare for bismuth, for which the +3 state is the more stable.

The wide variety of possible oxidation states can be understood by considering the valence-electron configuration ns²np³. This configuration suggests the highest oxidation state should be +5. According to the inert-pair effect, the +3 oxidation state should be more stable for Bi.

Common Oxidation States

N −3 to +5
P −3 to +5
As −3 to +5
Sb −3 to +5
Bi +3 (stable)

Key distinctions of nitrogen:

Heavier elements frequently reach coordination numbers of 5 and 6, as in PCl₅ and AsF₆⁻.

Nitrides

Nitrogen forms binary compounds (nitrides) with almost all elements. They are classified as:

Contain N³⁻ ion (highly polarizable). Found in Li₃N and Group 2 elements M₃N₂. Have considerable covalent character.

E−N bond is covalent. Examples: BN (boron nitride), (CN)₂ (cyanogen), P₃N₅, S₄N₄, S₂N₂. Properties vary widely depending on element bonded to N.

Largest category—d-block elements with formulas MN, M₂N, or M₄N. N atoms occupy octahedral sites in close-packed metal lattice. Hard, inert, metallic lustre and conductivity. Used as refractory materials, crucibles, thermocouple sheaths.

Phosphides

P atoms may be arranged in rings, chains, or cages, for example P₇³⁻, P₈²⁻, and P₁₁³⁻. Formulas range from M₄P to MP₁₅.

Hydrides

All elements form simple hydrides EH₃. Ammonia (NH₃) is a pungent, toxic gas and excellent solvent for Group 1 metals. The other hydrides—phosphine (PH₃), arsine (AsH₃), and stibine (SbH₃)—are all poisonous gases.

Halides

Trihalides are known for all Group 15 elements. Pentafluorides exist for P to Bi, but pentachlorides only for P, As, and Sb. The pentabromide is known only for P. Nitrogen cannot form NF₅ (atom too small), but NF₄⁺ exists.

Example 15.1: Examining the electronic structure and chemistry of P₄

Problem: Draw the Lewis structure of P₄, and discuss its possible role as a ligand.

Answer: There are 4 × 5 = 20 valence electrons. Each P forms bonds to three other P atoms (12 electrons), leaving 8 electrons as one lone pair on each P. This structure, with moderate electronegativity (χP = 2.06), suggests P₄ might be a moderately good donor ligand. Indeed, P₄ complexes with d-block metals are known.

15.3 Oxides and Oxoanions of Nitrogen

Key Point: The nitrate ion is a strong but slow oxidizing agent. The intermediate oxidation states of nitrogen are often susceptible to disproportionation. Dinitrogen oxide is unreactive.

Nitrogen forms oxo compounds and oxoanions in all oxidation states from +5 to +1.

Nitrogen Oxides Summary

Ox. No. Formula Name Comments
+1 N₂O Nitrous oxide (dinitrogen oxide) Colourless gas, not very reactive. "Laughing gas"
+2 NO Nitric oxide (nitrogen monoxide) Colourless, reactive, paramagnetic gas. Neurotransmitter
+3 N₂O₃ Dinitrogen trioxide Blue liquid (m.p. −101°C). Dissociates to NO + NO₂
+4 NO₂ Nitrogen dioxide Brown, reactive, paramagnetic gas
+4 N₂O₄ Dinitrogen tetroxide Colourless liquid; equilibrium with NO₂
+5 N₂O₅ Dinitrogen pentoxide Colourless, unstable. Crystallizes as [NO₂⁺][NO₃⁻]

Nitric Acid and the Ostwald Process

Nitric acid (HNO₃) is a major industrial chemical produced by the Ostwald process—an indirect route from N₂ to HNO₃ via NH₃:

N₂ + 3H₂
2NH₃
4NO₂ + 6H₂O
2HNO₃ + NO
4 NH₃(g) + 7 O₂(g) → 6 H₂O(g) + 4 NO₂(g) ΔrG° = −308.0 kJ mol⁻¹
3 NO₂(aq) + H₂O(l) → 2 HNO₃(aq) + NO(g) ΔrG° = −5.0 kJ mol⁻¹

The NO₃⁻ ion is a moderately strong oxidizing agent but reactions are generally slow in dilute acid. Concentrated HNO₃ undergoes faster reactions. A strong reducing agent like Zn can reduce HNO₃ all the way to NH₄⁺ (oxidation state −3):

HNO₃(aq) + 4 Zn(s) + 9 H⁺(aq) → NH₄⁺(aq) + 3 H₂O(l) + 4 Zn²⁺(aq)

A weaker reducing agent like Cu yields NO₂ or NO:

2 HNO₃(aq) + Cu(s) + 2 H⁺(aq) → 2 NO₂(g) + Cu²⁺(aq) + 2 H₂O(l)

Aqua Regia

Aqua regia ("royal water") is a mixture of concentrated HNO₃ and HCl, yellow due to NOCl and Cl₂. It can dissolve gold and platinum:

Au(s) + NO₃⁻ + 4 Cl⁻(aq) + 4 H⁺(aq) → [AuCl₄]⁻(aq) + NO(g) + 2 H₂O(l)

NO₂/N₂O₄ Equilibrium

Nitrogen(IV) oxide exists as an equilibrium mixture:

N₂O₄(g) ⇌ 2 NO₂(g) K = 0.115 at 25°C

The N−N bond in N₂O₄ is long and weak because the unpaired electron is delocalized over all three atoms in NO₂ rather than concentrated on N.

Biological Role of Nitric Oxide

NO is generated in vivo and performs functions such as:

Box 15.4: The Role of Nitrite in Curing Meat

Sodium nitrite is used in curing meats like bacon, hams, and sausage. It delays botulism, retards rancidity, and preserves spice flavours. Nitrite is converted to NO which binds to myoglobin, creating the bright pink hue of cured meats. "Nitrite burn" (green tinge in bacon) occurs when the heme group is nitrated.

Part B: The Detail

In this section we review the detailed chemistry of the Group 15 elements. We shall see the wide variety of oxidation states achieved by the elements, particularly nitrogen and phosphorus.

15.4 Occurrence and Recovery

Key Point: Nitrogen is recovered by distillation from liquid air. Elemental phosphorus is recovered from fluorapatite and hydroxyapatite by carbon arc reduction; the resulting white phosphorus is a molecular solid, P₄. Treatment of apatite with sulfuric acid yields phosphoric acid.

Phosphorus production:

Ca₅(PO₄)₃F(s) + 5 H₂SO₄(l) → 3 H₃PO₄(l) + 5 CaSO₄(s) + HF(g)

Elemental phosphorus is produced by carbon arc reduction at 1500°C:

2 Ca₃(PO₄)₂(s) + 6 SiO₂(s) → 6 CaSiO₃(l) + 10 CO(g) + P₄(g)

Arsenic is extracted from flue dust of copper and lead smelters or by heating ores:

FeAsS(s) → FeS(s) + As(g) (700°C)

Antimony is extracted by heating stibnite with iron:

Sb₂S₃(s) + 3 Fe(s) → 2 Sb(s) + 3 FeS(s)

15.5 Uses

Key Point: Nitrogen is essential for the industrial production of ammonia and nitric acid; the major use of phosphorus is in the manufacture of fertilizers.

Nitrogen uses:

Phosphorus uses:

Box 15.2: The Nitrogen Cycle

Nitrogen is essential for proteins, nucleic acids, chlorophyll, enzymes, and vitamins (oxidation number −3). The nitrogen cycle involves enzymatically catalysed redox reactions with Fe, Mo, and Cu at active sites. Biological nitrogen fixation requires reduction potential below −0.30 V and consumes 16 molecules of ATP per N₂ reduced.

Human impact: Between a third and a half of all nitrogen fixed occurs through technological/agricultural means rather than natural processes, leading to potential eutrophication in lakes, wetlands, and coastal areas.

15.6 Nitrogen Activation

Key Point: The commercial Haber process requires high temperatures and pressures to yield ammonia, which is a major ingredient in fertilizers and an important chemical intermediate.

N₂ is strikingly unreactive due to:

The Haber process:

N₂(g) + 3 H₂(g) ⇌ 2 NH₃(g) (450°C, 100 atm, Fe catalyst)

Fritz Haber won the Nobel Prize in 1918 for developing this process; Carl Bosch in 1931 for engineering the first plants. The process had major impact on civilization—before it, fertilizers came from guano and saltpetre from South America.

N₂ complexes form with metals:

[Ru(NH₃)₅(OH₂)]²⁺(aq) + N₂(g) → [Ru(NH₃)₅(N₂)]²⁺(aq) + H₂O(l)

Direct reduction to ammonia at room temperature has been achieved with a Mo catalyst containing a triamidoamine ligand, cycling between Mo(III) and Mo(VI).

15.10 Hydrides

(a) Ammonia

Key Point: Ammonia is produced by the Haber process; it is used to manufacture fertilizers and many other useful nitrogen-containing chemicals.

Properties of NH₃:

Autoprotolysis equilibrium in liquid ammonia:

2 NH₃(l) ⇌ NH₄⁺(am) + NH₂⁻(am) pKam = 34.00 at −33°C

Ammonium salts decompose on heating. When the anion is oxidizing (NO₃⁻, ClO₄⁻, Cr₂O₇²⁻), the NH₄⁺ is oxidized to N₂ or N₂O:

NH₄NO₃(s) → N₂O(g) + 2 H₂O(g)
2 NH₄NO₃(s) → 2 N₂(g) + O₂(g) + 4 H₂O(g) (explosive!)

(b) Hydrazine and Hydroxylamine

Hydrazine (N₂H₄) is manufactured by the Raschig process:

NH₃(aq) + NaOCl(aq) → NH₂Cl(aq) + NaOH(aq)
2 NH₃(aq) + NH₂Cl(aq) → N₂H₄(aq) + NH₄Cl(aq)

Hydrazine is a weaker base than ammonia (pKb1 = 7.93). Major uses: rocket fuel, foam-blowing agent, boiler water treatment.

Example 15.2: Evaluating Rocket Fuels

Problem: Compare N₂H₄ and N₂H₂(CH₃)₂ as rocket fuels.

Answer: Calculate combustion enthalpies:

N₂H₄: −535 kJ mol⁻¹ → specific enthalpy = −16.7 kJ g⁻¹

N₂H₂(CH₃)₂: −1798 kJ mol⁻¹ → specific enthalpy = −29.9 kJ g⁻¹

Dimethylhydrazine is the better fuel even when mass is significant.

(c) Phosphine, Arsane, and Stibane

Key Point: Unlike liquid ammonia, liquid phosphine, arsane, and stibane do not associate through hydrogen bonding; their much more stable alkyl and aryl analogues are useful soft ligands.

Bond angles decrease down the group:

NH₃: 107.8° PH₃: 93.6° AsH₃: 91.8° SbH₃: 91.3°

This decrease is attributed to reduced sp³ hybridization from NH₃ to SbH₃.

Commercial synthesis of PH₃ uses disproportionation:

P₄(s) + 3 OH⁻(aq) + 3 H₂O(l) → PH₃(g) + 3 H₂PO₂⁻(aq)

Organophosphines (PR₃) and organoarsanes (AsR₃) are soft ligands used in metal coordination chemistry, stabilizing metals in low oxidation states.

15.11 Halides

(a) Nitrogen Halides

Key Point: Except for NF₃, nitrogen trihalides have limited stability and nitrogen triiodide is dangerously explosive.

NF₃ can be converted to NF₄⁺:

NF₃(l) + 2 F₂(g) + SbF₃(l) → [NF₄⁺][SbF₆⁻](sol)

(b) Halides of the Heavy Elements

Key Point: Whereas the halides of nitrogen have limited stability, their heavier congeners form an extensive series of compounds; the trihalides and pentahalides are useful starting materials for synthesis.

Trihalides range from gases (PF₃, b.p. −102°C) to solids (BiF₃, m.p. 649°C). Common preparation is direct reaction of element with halogen.

The trichlorides are useful for synthesis:

ECl₃(sol) + 3 EtOH(l) → E(OEt)₃(sol) + 3 HCl(sol) (E = P, As, Sb)
ECl₃(sol) + 6 Me₂NH(sol) → E(NMe₂)₃(sol) + 3 [Me₂NH₂]Cl(sol)

PF₃ resembles CO—weak σ donor but strong π acceptor. Complexes include [Ni(PF₃)₄], analogous to [Ni(CO)₄].

Pentahalides:

The alternation effect explains why AsCl₅ is very unstable (poor shielding of 3d electrons increases effective nuclear charge).

15.15 Oxoanions of Phosphorus, Arsenic, Antimony, and Bismuth

Key Point: Important oxoanions are hypophosphite H₂PO₂⁻, phosphite HPO₃²⁻, and phosphate PO₄³⁻. The existence of P−H bonds and highly reducing character of lower oxidation states is notable.

Phosphorus Oxoanions

Ox. No. Formula Name Comments
+1 H₂PO₂⁻ Hypophosphite Facile reducing agent, contains P−H bonds
+3 HPO₃²⁻ Phosphite Facile reducing agent, contains P−H bond
+4 P₂O₆⁴⁻ Hypophosphate Basic
+5 PO₄³⁻ Phosphate Strongly basic
+5 P₂O₇⁴⁻ Diphosphate Basic; longer chain forms exist

White phosphorus disproportionates in base:

P₄(s) + 3 OH⁻(aq) + 3 H₂O(l) → PH₃(g) + 3 H₂PO₂⁻(aq)

H₂PO₂⁻ is used in "electrodeless plating" to reduce Ni²⁺:

Ni²⁺(aq) + 2 H₂PO₂⁻(aq) + 2 H₂O(l) → Ni(s) + 2 H₂PO₃⁻(aq) + H₂(g) + 2 H⁺(aq)

15.16 Condensed Phosphates

Key Point: Dehydration of phosphoric acid leads to formation of chain or ring structures based on many PO₄ units.

Heating H₃PO₄ above 200°C causes condensation, forming P−O−P bridges:

2 H₃PO₄(l) → H₄P₂O₇(l) + H₂O(g)

Most commercially important: sodium tripolyphosphate (Na₅P₃O₁₀)—used in detergents, water treatment, food industry.

Box 15.5: Phosphates and the Food Industry

Applications include:

  • NaH₂PO₄: dietary supplement in animal feeds
  • Na₂HPO₄: emulsifier in processed cheese
  • K₂HPO₄: anticoagulant in coffee creamer
  • Ca(H₂PO₄)₂·H₂O: raising agent in bread, cake mixes
  • CaHPO₄·2H₂O: dental polish in non-fluoride toothpaste
  • Ca₃PO₄: flow improver in sugar and salt
Example 15.5: Determining Chain Length by Titration

Problem: Two stoichiometric points at 16.8 and 28.0 cm³. Determine chain length.

Answer: Terminal OH groups (weakly acidic): 2 per molecule = (28.0 − 16.8) = 11.2 cm³. Each OH needs 5.6 cm³. Strongly acidic OH: 16.8/5.6 = 3. A molecule with 2 terminal + 3 internal OH groups is a tripolyphosphate.

15.17 Phosphazenes

Key Point: The range of PN compounds is extensive, including cyclic and polymeric phosphazenes (PX₂N)ₙ; phosphazenes form highly flexible elastomers.

PN is structurally equivalent to SiO. Phosphazenes (R₂PN units) are analogous to siloxanes (R₂SiO units).

Cyclic phosphazene dichlorides are good starting materials:

n PCl₃ + n NH₄Cl → (Cl₂PN)ₙ + 4n HCl (n = 3 or 4)

At ~290°C the trimer changes to polyphosphazene. Cl atoms are readily displaced by Lewis bases:

(Cl₂PN)₄ + 8 NaOCH₃ → [(CH₃O)₂PN]₄ + 8 NaCl
Box 15.7: Biomedical Applications of Polyphosphazenes

Polyphosphazenes are useful biomedical materials:

  • Bio-inert housing materials for implants
  • Construction of heart valves and blood vessels
  • Biodegradable supports for in vivo bone regeneration
  • Drug-delivery systems (controlled release as polymer degrades)

Like silicone rubber, polyphosphazenes remain rubbery at low temperatures due to helical molecules and highly flexible PNP groups.

The PPN⁺ cation ([Ph₃P═N═PPh₃]⁺) is useful for forming salts of large anions, soluble in polar aprotic solvents.

15.18 Organometallic Compounds of Arsenic, Antimony, and Bismuth

Oxidation states +3 and +5 are encountered. Examples: As(CH₃)₃ (+3) and As(C₆H₅)₅ (+5).

(a) Oxidation State +3

Key Point: The stability of organometallic compounds decreases in the order As > Sb > Bi; the aryl compounds are more stable than the alkyl compounds.

Preparation methods include Grignard reagents or organolithium compounds:

AsCl₃(et) + 3 RMgCl(et) → AsR₃(et) + 3 MgCl₂(et)

The M−C bond strength decreases for a given R group: As > Sb > Bi. All compounds act as Lewis bases; basicity decreases As > Sb > Bi.

The bidentate ligand diars (C₆H₄(As(CH₃)₂)₂) is useful. Many complexes of soft metals like Rh(I), Ir(I), Pd(II), Pt(II) have been prepared.

Synthesis of diars starts from (CH₃)₂AsI:

4 As(s) + 6 CH₃I(l) → 3 (CH₃)₂AsI(sol) + AsI₃(sol)
(CH₃)₂AsI(sol) + 2 Na(sol) → Na[(CH₃)₂As](sol) + NaI(s)

Polyarsane compounds (RAs)ₙ can be prepared. Polymethylarsane exists as cyclic pentamer or ladder-like structure. MᐩM bond strength: As > Sb > Bi.

Arylometals include arsabenzene (C₅H₅As, stable to 200°C), stibabenzene (isolated but polymerizes), and bismabenzene (very unstable). These exhibit aromatic character.

(b) Oxidation State +5

Key Point: The tetraphenylarsonium ion is a starting material for the preparation of other As(V) organometallic compounds.

Trialkylarsanes act as nucleophiles:

As(CH₃)₃(sol) + CH₃Br(sol) → [As(CH₃)₄]Br(sol)

Phenyllithium on tetraphenylarsonium gives pentaphenylarsenic:

[AsPh₄]Br(sol) + LiPh(sol) → AsPh₅(sol) + LiBr(s)

AsPh₅ is trigonal bipyramidal (VSEPR), but SbPh₅ is square pyramidal!

15.7 Nitrides and Azides

Azides

Key Point: Azides are toxic and unstable; they are used as detonators in explosives. The azide ion forms many metal complexes.

Azides (N₃⁻) are synthesized by oxidation of sodium amide:

3 NH₂⁻ + NO₃⁻ → N₃⁻ + 3 OH⁻ + NH₃ (175°C)

The azide ion is isoelectronic with N₂O and CO₂, and is linear. It is a good ligand but heavy-metal complexes (Pb(N₃)₂, Hg(N₃)₂) are shock-sensitive detonators:

Pb(N₃)₂(s) → Pb(s) + 3 N₂(g)

NaN₃ is used in airbags: ~50 g liberates ~26 dm³ N₂ at room temperature.

Polynitrogen cation N₅⁺ has been synthesized—a powerful oxidizing agent that ignites organic material:

N₂FAsF₆(sol) + HN₃(sol) → N₅AsF₆(sol) + HF(l)

15.9 Arsenides, Antimonides, and Bismuthides

Key Point: Indium and gallium arsenides and antimonides are semiconductors.

GaAs (gallium arsenide) is used for integrated circuits, LEDs, and laser diodes. It has higher electron mobility than Si and produces less electronic noise. Used in mobile phones, satellite communications, radar systems.

Box 15.1: Arsenic in the Environment

The worst arsenic pollution is in Bangladesh and West Bengal—hundreds of thousands diagnosed with arsenicosis from contaminated tube wells. Arsenic levels correlate with iron levels in groundwater; As is released on dissolution of iron oxides. WHO guideline: 10 ppb. Bangladesh standard: 50 ppb.

Arsenicosis develops over 20 years: keratoses → skin cancers; liver/kidney deterioration. Arsenic probably acts by binding sulfhydryl groups in proteins.

Box 15.3: Arsenicals

Organoarsenic compounds have applications based on toxicity:

  • Arsenoamide: veterinary treatment for heartworm
  • Arsanilic acid: antimicrobial in animal feed
  • OBPA: antimicrobial in plastics
  • MSMA: herbicide for cotton and turf
  • Paris green: historical insecticide

The Marsh test detects arsenic by converting As₂O₃ to AsH₃, which produces black arsenic powder when ignited.

Exercises

15.1 Element Classification

List the Group 15 elements and indicate those that are: (a) diatomic gases, (b) nonmetals, (c) metalloids, (d) true metals. Indicate elements displaying the inert-pair effect.

15.4 NH₄NO₃ Acidity

Show with an equation why aqueous solutions of NH₄NO₃ are acidic.

Answer: NH₄⁺(aq) + H₂O(l) ⇌ H₃O⁺(aq) + NH₃(aq)

15.5 CO vs N₂ Toxicity

Carbon monoxide is a good ligand and is toxic. Why is the isoelectronic N₂ molecule not toxic?

Answer: N₂ has a much larger HOMO-LUMO gap and is essentially chemically inert under biological conditions, so it cannot bind to hemoglobin like CO does.

15.7 VSEPR Predictions

Use the VSEPR model to predict the probable shapes of (a) PCl₄⁺, (b) PCl₄⁻, (c) AsCl₅.

Answers: (a) Tetrahedral (4 bonding pairs), (b) See-saw or disphenoidal (4 bonding + 1 lone pair), (c) Trigonal bipyramidal (5 bonding pairs)

15.8 Phosphorus Reactions

Give balanced equations for: (a) oxidation of P₄ with excess oxygen, (b) reaction of product with excess water, (c) reaction with CaCl₂ solution.

Answers:

(a) P₄ + 5 O₂ → P₄O₁₀

(b) P₄O₁₀ + 6 H₂O → 4 H₃PO₄

(c) 2 H₃PO₄ + 3 CaCl₂ → Ca₃(PO₄)₂ + 6 HCl (calcium phosphate)