Explain the industrial production of ammonia (Haber process) and sulfuric acid (Contact process), and evaluate the conditions used in terms of yield and rate.
The Haber process (developed by Fritz Haber and Carl Bosch, early 1900s) is one of the most important industrial reactions — it enables the large-scale synthesis of ammonia for fertilisers, which feeds roughly half the world’s population.
| Condition | Value used | Le Chatelier justification | Trade-off |
|---|---|---|---|
| Temperature | ~450°C | Reaction is exothermic (ΔH < 0): lower T favours product (shifts right), giving higher K and yield | Too low T → rate too slow. 450°C is the compromise giving acceptable rate with catalyst |
| Pressure | 150–200 atm | Left side: 4 mol gas (1+3); right side: 2 mol gas. High P shifts equilibrium RIGHT (fewer moles), increasing yield | Very high P is expensive (strong vessels) and dangerous. 200 atm is the economic optimum |
| Catalyst | Iron (Fe) with K2O and Al2O3 promoters | Does NOT shift equilibrium; does NOT change Kc | Allows equilibrium to be reached faster at lower temperature. Without it, 450°C would be too slow |
| Unreacted gases | Recycled back to reactor | Effectively increases reactant concentration, shifting equilibrium right (Le Chatelier) | Improves overall yield even though single-pass conversion is only ~15–25% |
Sulfuric acid is the world’s most produced industrial chemical. The Contact Process manufactures it in three main steps:
Step 1 — Burning sulfur (or roasting sulfide ores like FeS2):
Step 2 — Oxidation of SO2 to SO3 (the equilibrium step — rate/yield compromise):
| Condition | Value | Justification |
|---|---|---|
| Temperature | ~450°C | Same compromise as Haber: exothermic reaction, lower T gives better yield but slower rate; 450°C with catalyst is optimal |
| Pressure | 1–2 atm (near atmospheric) | 3 mol gas → 2 mol gas: high P would favour SO3, but yield at 450°C is already ~98% so extra cost of high P is not justified |
| Catalyst | V2O5 (vanadium(V) oxide) | Increases rate; allows reaction at lower temperature; V2O5 is regenerated (true catalyst) |
Step 3 — Absorption of SO3 (NOT into water directly):
Both processes reflect attempts to balance industrial efficiency with environmental responsibility:
Atom economy measures how efficiently atoms in reactants are converted into desired product(s):
Example — Haber process: N2 + 3H2 → 2NH3. Only product is NH3.
The Haber process has 100% atom economy — all atoms in the reactants end up in the desired product. This makes it ideal from a green chemistry perspective, despite the energy costs.
Percentage yield compares actual yield to theoretical yield:
Example: If 15.0 g NH3 is produced when the theoretical yield was 34.0 g: % yield = (15.0/34.0) × 100% = 44.1%.
Note: The Haber process has 100% atom economy but only ~15–25% yield per pass (due to equilibrium constraints). Recycling unreacted gases raises the overall yield to ~97%. High atom economy and high yield are both desirable.
| Temperature (°C) | 350 | 400 | 450 | 500 | 550 |
|---|---|---|---|---|---|
| NH3 yield (%) | 37 | 25 | 16 | 10 | 6.0 |
| Relative rate (a.u.) | 1 | 4 | 10 | 22 | 45 |