Lesson 5 · 30 min

Oxygen and sulfur

Paramagnetic oxygen, protective ozone, period-3 oxides running from strong base to strong acid, and the contact process creeping up on equilibrium bed by bed — this is how sulfuric acid is made.

In this lesson

  • Explain the paramagnetism of O₂ with molecular orbitals, and describe how ozone forms, what it does and how strongly it oxidises
  • Classify the period-3 oxides as basic, amphoteric or acidic from the pH they give in water and their reactions with acids and bases
  • Explain why hydrogen peroxide is both an oxidant and a reductant, and why it disproportionates
  • Use equilibrium and thermochemical data to explain the conditions of the contact process: catalyst, several adiabatic beds, cooling between beds and interpass absorption

Pour liquid oxygen between the poles of a strong magnet and the pale-blue liquid hangs there, bridging the gap; liquid nitrogen simply runs through. Oxygen molecules are attracted by the magnet — yet in the O=O Lewis structure every electron is paired, so there should be no magnetism at all.

Predict first

How many unpaired electrons does an OX2\ce{O2} molecule have?

Pick an answer and lock it in before you look. A wrong guess teaches more than no guess.

Oxygen and ozone

The O=O bond is 121 pm long with a bond enthalpy of 498 kJ/mol. Oxygen is the most electronegative element after fluorine, and dioxygen is a strong oxidant, E∘(OX2/HX2O)=+1.229E^\circ(\ce{O2/H2O}) = +1.229 V; luckily most of its reactions are slow — otherwise the organic matter of our bodies would long since have burned.

In the stratosphere, ultraviolet light shorter than about 240 nm splits OX2\ce{O2} into atoms, which join OX2\ce{O2} to form ozone, OX3\ce{O3}. Ozone is bent (116.8°, with two equal O–O bonds of 127.8 pm, between single and double), and it absorbs strongly from 200 to 310 nm (peak near 255 nm), shielding the ground from most UV-B and all UV-C. Ozone is itself a far stronger oxidant than oxygen, E∘(OX3/OX2)=+2.076E^\circ(\ce{O3/O2}) = +2.076 V, and 2 OX3→3 OX2\ce{2O3} \mathrel{\ce{->}} \ce{3O2} has ΔG∘=−326\Delta G^\circ = -326 kJ: near the ground it is a harmful pollutant, and it is used to disinfect drinking water.

The oxides of period 3: from base to acid

Across period 3 from sodium to chlorine the bonding in the highest oxides changes from ionic (NaX2O\ce{Na2O}, MgO), through an ionic lattice with covalent character (AlX2OX3\ce{Al2O3}) and a giant covalent network (SiOX2\ce{SiO2}), to small molecules (PX4OX10\ce{P4O10}, SOX3\ce{SO3}, ClX2OX7\ce{Cl2O7}) — and the acid–base character runs from basic through amphoteric to acidic:

  • Basic oxides contain OX2−\ce{O^2-}, form hydroxides with water and react with acids: NaX2O+HX2O→2 NaOH\ce{Na2O} + \ce{H2O} \mathrel{\ce{->}} \ce{2NaOH}. MgO does too, but Mg(OH)X2\ce{Mg(OH)2} is sparingly soluble, so the solution only reaches pH ≈ 10.4.
  • Amphoteric AlX2OX3\ce{Al2O3} does not dissolve in water but dissolves in both acids and bases.
  • Acidic oxides give oxoacids with water and salts with bases: PX4OX10+6 HX2O→4 HX3POX4\ce{P4O10} + \ce{6H2O} \mathrel{\ce{->}} \ce{4H3PO4}, SOX3+HX2O→HX2SOX4\ce{SO3} + \ce{H2O} \mathrel{\ce{->}} \ce{H2SO4}, ClX2OX7+HX2O→2 HClOX4\ce{Cl2O7} + \ce{H2O} \mathrel{\ce{->}} \ce{2HClO4}. SiOX2\ce{SiO2} is insoluble in water but is attacked by hot concentrated alkali or molten sodium carbonate.

Behind the pattern is the polarity of the E–O bond. A metal has a low electronegativity, so the E–O bond breaks on the E side and releases OX2−\ce{O^2-} (a base); a non-metal is electronegative, so in E–O–H it is the O–H bond that breaks, releasing HX+\ce{H+} (an acid).

pH after adding each oxide to water (exact charge balance)

The oxides of period 3

Na₂OMgOAl₂O₃SiO₂P₄O₁₀SO₃Cl₂O₇02468101214pH
  • basic oxide
  • amphoteric oxide
  • acidic oxide

AlX2OX3\ce{Al2O3} aluminium oxide +3 amphoteric oxide

ionic lattice · Melting point 2072 °C

pH 7.00 · insoluble — the pH stays 7

With water
no reaction
With acid (HCl)
AlX2OX3+6 HCl→2 AlClX3+3 HX2O\ce{Al2O3 + 6HCl -> 2AlCl3 + 3H2O}
With base (NaOH)
AlX2OX3+2 NaOH+3 HX2O→2 Na[Al(OH)X4]\ce{Al2O3 + 2NaOH + 3H2O -> 2Na[Al(OH)4]}
The pH is solved from the exact charge balance (25 °C, activities taken as concentrations): Na₂O counts as the equivalent NaOH; the Mg(OH)₂ from MgO saturates at its Ksp (Martell & Smith); Al₂O₃ and SiO₂ do not react with water (quartz dissolves to only ~10⁻⁴ M, neglected); P₄O₁₀, SO₃, SO₂ and Cl₂O₇ are converted fully to H₃PO₄, H₂SO₄, H₂SO₃ and HClO₄ with pKa values from Harris (HClO₄ taken as −10). Reactions with acid and base and the structure types are the literature classification (Greenwood & Earnshaw); melting points are from the CRC Handbook.
Click each oxide to see its reactions with water, acid and base. Drag the amount of element per litre: the pH of NaOH and of the acids moves, but MgO stays near pH 10.4 — the pH of saturated Mg(OH)₂. With the same 0.1 mol of element per litre, why does sulfur give a lower pH than chlorine?

Hydrogen peroxide

In HX2OX2\ce{H2O2} oxygen is at −1, between OX2\ce{O2} (0) and HX2O\ce{H2O} (−2), so it can be an oxidant (E∘(HX2OX2/HX2O)=+1.776E^\circ(\ce{H2O2/H2O}) = +1.776 V) and a reductant (E∘(OX2/HX2OX2)=+0.695E^\circ(\ce{O2/H2O2}) = +0.695 V). The first lies 1.08 V above the second, so hydrogen peroxide can oxidise itself — it disproportionates: 2 HX2OX2→2 HX2O+OX2\ce{2H2O2} \mathrel{\ce{->}} \ce{2H2O} + \ce{O2}, ΔG∘=−234\Delta G^\circ = -234 kJ. Fortunately this is slow, so 3 % peroxide keeps in the medicine cabinet; add MnOX2\ce{MnO2}, iodide or the enzyme catalase and oxygen gushes out.

Sulfur: allotropes and oxides

Ordinary sulfur is built of crown-shaped SX8\ce{S8} rings: rhombic sulfur is stable below 95.3 °C and changes to monoclinic above it, which melts at about 119 °C. Heat the liquid to about 160 °C and the rings break open and link into long chains — the melt suddenly turns as thick as syrup; pour it into cold water and you get rubbery “plastic sulfur”.

Sulfur burns to SOX2\ce{SO2} (ΔH∘=−297\Delta H^\circ = -297 kJ/mol). SOX2\ce{SO2} dissolves to give sulfurous acid (pKa1=1.86\mathrm{p}K_{\mathrm{a}1} = 1.86), one source of acid rain; it is also a reducing agent and a bleach. SOX3\ce{SO3} is a trigonal-planar molecule that reacts violently with water to give sulfuric acid.

The contact process, bed by bed

Sulfuric acid is one of the most-produced chemicals, and its key step is 2 SOX2+OX2⇌2 SOX3\ce{2SO2} + \ce{O2} \mathrel{\ce{<=>}} \ce{2SO3}: ΔH∘=−198\Delta H^\circ = -198 kJ, ΔS∘=−188\Delta S^\circ = -188 J/K. For an exothermic reaction that loses entropy, the lower the temperature the better the equilibrium — KpK_p falls from about 10510^5 bar⁻¹ at 425 °C to about 10210^2 bar⁻¹ at 600 °C. But at low temperature the reaction is far too slow, so a VX2OX5\ce{V2O5} catalyst is used, working between about 400 and 630 °C.

The difficulty is the heat released: in an adiabatic bed, every 1 % of SOX2\ce{SO2} converted warms the gas by about 3 °C. The first bed takes gas in at about 420 °C, and the outlet soon climbs above 600 °C, reaching the equilibrium for that temperature at only about two-thirds conversion. So the converter is split into three or four beds, with the gas cooled back to 420–440 °C between them. After the third bed the SOX3\ce{SO3} formed is absorbed (“double contact”); the gas left holds little SOX2\ce{SO2}, but its equilibrium is favourable again, and the fourth bed pushes the overall conversion above 99.7 %.

Kp=pSOX32pSOX22 pOX2 (p∘)ln⁡Kp=−ΔH∘−TΔS∘RTK_p = \frac{p_{\ce{SO3}}^2}{p_{\ce{SO2}}^2\,p_{\ce{O2}}}\,(p^\circ)\qquad \ln K_p = -\frac{\Delta H^\circ - T\Delta S^\circ}{RT}
The equilibrium constant follows from ΔH° and ΔS°; for an exothermic reaction Kp falls as the temperature rises.
pip_i
partial pressure of each gas (bar)
p∘p^\circ
standard pressure, 1 bar
ΔH∘, ΔS∘\Delta H^\circ,\ \Delta S^\circ
−197.8 kJ and −188.0 J/K (per 2 mol SO₃)
TT
thermodynamic temperature
Conversion–temperature diagram for 2SO₂ + O₂ ⇌ 2SO₃

The contact-process converter, bed by bed

400450500550600650Temperature / °C020406080100Overall SO₂ conversion / %
  • Equilibrium (original gas)
  • Equilibrium (after SO₃ absorption)
  • Adiabatic operating lines
  • Cooling between beds
  • V₂O₅ working range
Bed by bed
#InOutCumulative conversion
1420 °C628 °C67.23 %
2440 °C517 °C92.27 %
3430 °C448 °C98.03 %
4*420 °C427 °C99.98 %

Overall conversion 99.98 %; about 27 ppm SO₂ left in the tail gas.

Kp(425 °C) = 95000 bar⁻¹, Kp(600 °C) = 103 bar⁻¹: the hotter the gas, the further the equilibrium lies towards SO₂. Each 1 % of SO₂ converted warms the gas by about 3.1 °C.

Kp comes from CODATA/NBS ΔH° and S° (taken as independent of temperature); the feed is 10 % SO₂, 11 % O₂, balance N₂ at 1.2 bar. Each bed is adiabatic with a constant heat capacity of 32 J mol⁻¹ K⁻¹ per mole of feed gas and is assumed to reach equilibrium exactly (real beds get 95–99 % of the way). The ≈ 400–630 °C working range of the catalyst is taken from the industrial literature (King, Davenport & Moats). Rates are not computed: below its ignition temperature a real vanadium catalyst simply does not work.
Each orange line is an adiabatic bed: the gas converts and heats up until it hits the equilibrium curve. Raise the first bed’s inlet temperature and its outlet overheats the catalyst; switch off double contact and see the ceiling the last bed runs into — and how much more SO₂ is left in the tail gas.

Worked example

Above what temperature does the contact reaction stop being favourable?

For 2 SOX2+OX2→2 SOX3\ce{2SO2} + \ce{O2} \mathrel{\ce{->}} \ce{2SO3}, ΔH∘=−197.8\Delta H^\circ = -197.8 kJ and ΔS∘=−188.0\Delta S^\circ = -188.0 J/K. Assuming both are independent of temperature, find where ΔG∘=0\Delta G^\circ = 0.

The SOX3\ce{SO3} is not bubbled straight into water — that makes a fog of acid droplets that is hard to catch — but absorbed in 98 % sulfuric acid, which is then diluted. Concentrated sulfuric acid is a strong acid (second pKa=1.99\mathrm{p}K_\mathrm{a} = 1.99), a powerful dehydrating agent (it chars sugar to black carbon), and, when hot, an oxidant that dissolves copper while being reduced to SOX2\ce{SO2}. It releases a great deal of heat on mixing with water, so always add acid to water — slowly, with stirring.

Concept check

Which of these oxides dissolves in both hydrochloric acid and sodium hydroxide solution but not in water?

Try the calculation

0.0050 mol of SOX3\ce{SO3} is dissolved in water and made up to 1.00 L. Allowing for the second dissociation of HSOX4X−\ce{HSO4-} (pKa=1.99\mathrm{p}K_\mathrm{a} = 1.99), what is the pH?

Key takeaways

  • O₂ has two unpaired π* electrons and is paramagnetic; ozone absorbs ultraviolet from 200 to 310 nm and is a far stronger oxidant than O₂ (E° = 2.076 V).
  • Period-3 oxides change from ionic lattices to molecules and from basic (Na₂O, pH 13) through amphoteric (Al₂O₃) to acidic (SO₃, Cl₂O₇, pH ≈ 1).
  • The −1 oxygen of H₂O₂ can be both oxidised and reduced, so hydrogen peroxide disproportionates to water and oxygen.
  • The contact process uses V₂O₅, several adiabatic beds with cooling in between and SO₃ absorption after the third bed, reaching over 99.7 % conversion.
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Data and references

  1. J. D. Cox, D. D. Wagman, V. A. Medvedev, CODATA Key Values for Thermodynamics (1989); D. D. Wagman et al., NBS tables, J. Phys. Chem. Ref. Data 11, Suppl. 2 (1982).
  2. P. Vanýsek, “Electrochemical series”, CRC Handbook of Chemistry and Physics, 91st ed. (2010).
  3. M. J. King, W. G. Davenport, M. S. Moats, Sulfuric Acid Manufacture, 2nd ed., Elsevier (2013).
  4. N. N. Greenwood, A. Earnshaw, Chemistry of the Elements, 2nd ed. (1997), ch. 14–15 (oxygen, sulfur).
  5. D. C. Harris, Quantitative Chemical Analysis, 9th ed. (2016), Appendix G (pKa values).