Phosphorus and its allotropes
Phosphorus (symbol P, atomic number 15) is a non-metal in group 15, the same family as nitrogen. It does not occur free in nature; it is found as phosphates, for example phosphate rock, Ca₃(PO₄)₂.
Allotropes are different forms of the same element:
- White phosphorus: P₄ molecules (a pyramid of 4 atoms, bond angle 60°, strained). Soft and waxy, glows faintly in the dark, poisonous, catches fire in air at about 30 °C. Kept under water.
- Red phosphorus: P atoms joined in long chains. Stable, not poisonous in the same way, ignites only near 260 °C. Used on matchbox strips.
- Black phosphorus: layered, the least reactive form.
Making it: heat phosphate rock with sand and coke in an electric furnace: 2Ca₃(PO₄)₂ + 6SiO₂ + 10C → 6CaSiO₃ + 10CO + P₄. The P₄ vapour is cooled under water.
Why is phosphorus so much more reactive than nitrogen (N₂)? N≡N has a very strong triple bond; P–P single bonds in a strained P₄ are weak.
Burning phosphorus: oxides and phosphoric acid
Phosphorus burns in oxygen. The product depends on how much air there is.
- Limited air: P₄ + 3 O₂ → P₄O₆ (phosphorus(III) oxide).
- Plenty of air: P₄ + 5 O₂ → P₄O₁₀ (phosphorus(V) oxide, white smoke). It is often written P₂O₅.
P₄O₁₀ loves water, so it is used as a drying agent. With water it gives phosphoric acid:
P₄O₁₀ + 6 H₂O → 4 H₃PO₄
H₃PO₄ has three –OH groups that can give H⁺, so it is tribasic. It forms three kinds of salt with NaOH: NaH₂PO₄, Na₂HPO₄ and Na₃PO₄ (phosphates). It is used in soft drinks, rust removers and fertilisers.
Phosphides and phosphine
A phosphide is a compound of phosphorus with a metal, such as calcium phosphide Ca₃P₂ or aluminium phosphide AlP. (P here is P³⁻.)
Phosphides react with water or acid and give phosphine, PH₃:
- Ca₃P₂ + 6 H₂O → 3 Ca(OH)₂ + 2 PH₃
- AlP + 3 H₂O → Al(OH)₃ + PH₃
You can also make it by boiling white phosphorus with NaOH solution: P₄ + 3 NaOH + 3 H₂O → PH₃ + 3 NaH₂PO₂.
Phosphine, PH₃: a colourless, very poisonous gas with a smell like rotten fish or garlic. The molecule is a pyramid (P on top, three H below, one lone pair), bond angle about 93.5°, smaller than ammonia (107°). It is only a very weak base: PH₃ + HI → PH₄I (phosphonium iodide). It burns: 2 PH₃ + 4 O₂ → P₂O₅ + 3 H₂O. Impure phosphine can catch fire by itself, which may explain strange "ghost lights" over marshes.
Phosphates and fertilisers
Plants need N, P and K (nitrogen, phosphorus, potassium). Phosphorus is in DNA, in ATP (the cell's energy packet) and in bones. Plants take it as soluble phosphate ions.
Problem: phosphate rock Ca₃(PO₄)₂ is insoluble in water, so roots cannot use it. Fix: turn it into a soluble salt.
- Single superphosphate: Ca₃(PO₄)₂ + 2 H₂SO₄ → Ca(H₂PO₄)₂ + 2 CaSO₄.
- Triple superphosphate: Ca₃(PO₄)₂ + 4 H₃PO₄ → 3 Ca(H₂PO₄)₂ (more P per bag).
- Ammonium phosphates: H₃PO₄ + 2 NH₃ → (NH₄)₂HPO₄ gives both N and P.
Care: too much phosphate washes into ponds and lakes and feeds algae. The algae cover the water and later rot, using up oxygen so fish die. This is eutrophication.
Try it: predict, then check
In the 3D board pick P₄O₆ and count the red O atoms before reading the caption (answer 6). Then pick P₄O₁₀ and count again (10). Safe home task: look at the strip on the side of a matchbox. It is red phosphorus. Strike a match and watch the head burn: that is phosphorus compounds reacting with oxygen. Never handle white phosphorus. Look at a fertiliser bag label and find the three numbers N-P-K.
Key formulas and definitions
- P₄ + 3 O₂ → P₄O₆ (limited air)
- P₄ + 5 O₂ → P₄O₁₀ (plenty of air)
- P₄O₁₀ + 6 H₂O → 4 H₃PO₄
- Ca₃P₂ + 6 H₂O → 3 Ca(OH)₂ + 2 PH₃
- Ca₃(PO₄)₂ + 2 H₂SO₄ → Ca(H₂PO₄)₂ + 2 CaSO₄
- Molar masses: P 31, O 16, H 1, Ca 40, S 32 (g/mol)
Worked examples
1. Balance: P₄ + O₂ → P₄O₁₀.
Right side has 10 O atoms, so we need 5 O₂ on the left. P₄ + 5 O₂ → P₄O₁₀. P: 4 = 4, O: 10 = 10.
2. What mass of P₄O₁₀ forms when 6.2 g of phosphorus burns in plenty of air? (P = 31, O = 16)
Moles of P atoms = 6.2 ÷ 31 = 0.2. Each P₄O₁₀ holds 4 P atoms, so 0.2 ÷ 4 = 0.05 mol P₄O₁₀. Molar mass P₄O₁₀ = 4×31 + 10×16 = 284 g/mol. Mass = 0.05 × 284 = 14.2 g.
3. 18.2 g of Ca₃P₂ reacts with excess water. Find the mass of PH₃ formed. (Ca = 40, P = 31, H = 1)
Molar mass Ca₃P₂ = 3×40 + 2×31 = 182 g/mol. Moles = 18.2 ÷ 182 = 0.1. The equation gives 2 PH₃ per Ca₃P₂, so 0.2 mol PH₃. Molar mass PH₃ = 34. Mass = 0.2 × 34 = 6.8 g. (At STP the volume is 0.2 × 22.4 = 4.48 L.)
4. Why is red phosphorus safe to keep in the open but white phosphorus is not?
White phosphorus is P₄ with 60° bond angles. The strain makes the bonds weak, so it reacts with oxygen at about 30 °C and catches fire. Red phosphorus is a chain with no such strain and ignites only near 260 °C.
5. How many moles of NaOH fully neutralise 0.1 mol of H₃PO₄?
H₃PO₄ is tribasic: H₃PO₄ + 3 NaOH → Na₃PO₄ + 3 H₂O. So 0.1 × 3 = 0.3 mol NaOH.
6. Find the percentage of phosphorus by mass in H₃PO₄.
Molar mass = 3×1 + 31 + 4×16 = 98 g/mol. Percentage of P = 31 ÷ 98 × 100 ≈ 31.6 %.
7. What mass of H₂SO₄ is needed to turn 31 g of Ca₃(PO₄)₂ into single superphosphate? (Ca = 40, P = 31, O = 16, S = 32)
Molar mass Ca₃(PO₄)₂ = 3×40 + 2×(31 + 64) = 310 g/mol. Moles = 31 ÷ 310 = 0.1. Equation: 1 Ca₃(PO₄)₂ needs 2 H₂SO₄, so 0.2 mol. Molar mass H₂SO₄ = 98. Mass = 0.2 × 98 = 19.6 g.
8. Why is the H–P–H angle in PH₃ (about 93.5°) smaller than the H–N–H angle in NH₃ (107°)?
Phosphorus is a bigger atom and its bonding orbitals are longer and mix less. The lone pair takes more room, so the three P–H bonds are squeezed closer to 90°.
Common mistakes
- Writing white phosphorus as P. It is P₄ (four atoms in a pyramid).
- Mixing up P₄O₆ and P₄O₁₀. Little air gives 6 O, plenty of air gives 10 O.
- Saying phosphine is a strong base like ammonia. PH₃ is only very weakly basic.
- Using insoluble rock phosphate straight as fertiliser. Plants need a soluble phosphate, so it is first treated with acid.