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What is formula of oleum?
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Detailed Solution
Oleum (also known as fuming sulfuric acid) is a solution of sulfur trioxide (SO₃) dissolved in concentrated sulfuric acid (H₂SO₄). It is one of the most important industrial chemicals and a crucial intermediate in sulfuric acid production.
1. Basic Oleum Formulas
| Formula Type | Formula | Name | Explanation |
| Chemical Formula | H₂SO₄ · nSO₃ | Oleum (General) | Where 'n' represents the number of SO₃ molecules per H₂SO₄ molecule |
| Molecular Formula | H₂S₂O₇ | Disulfuric Acid | Most common form when n=1 |
| Structural Formula | HO-SO₂-O-SO₂-OH | Disulfuric Acid | Shows the bonding arrangement |
| Alternative Representation | H₂SO₄ + SO₃ | Oleum Solution | Shows composition as mixture |
2. Common Oleum Concentrations
| Oleum Type | Formula | SO₃ Content | Description |
| 20% Oleum | H₂SO₄ · 0.25SO₃ | 20% free SO₃ | Light fuming sulfuric acid |
| 40% Oleum | H₂SO₄ · 0.67SO₃ | 40% free SO₃ | Medium concentration oleum |
| 65% Oleum | H₂SO₄ · 1.84SO₃ | 65% free SO₃ | High concentration oleum |
| 100% Oleum | SO₃ | 100% SO₃ | Pure sulfur trioxide |
3. Formation and Preparation Formulas
| Reaction Type | Chemical Equation | Description |
| Direct Dissolution | H₂SO₄ + SO₃ → H₂S₂O₇ | SO₃ dissolves in concentrated H₂SO₄ |
| Contact Process | 2SO₂ + O₂ → 2SO₃ (then SO₃ + H₂SO₄) | Industrial production method |
| Pyrosulfuric Acid Formation | 2H₂SO₄ → H₂S₂O₇ + H₂O | Dehydration of sulfuric acid |
4. Molecular Structure and Bonding
| Aspect | Formula/Description | Details |
| Molecular Weight | H₂S₂O₇ = 178.14 g/mol | For disulfuric acid |
| Bond Angles | S-O-S ≈ 123° | Angular structure |
| Hybridization | sp³ (Sulfur atoms) | Tetrahedral around sulfur |
| Lewis Structure | [Complex structure with double bonds] | Contains S=O and S-OH bonds |
5. Chemical Properties Formulas
Hydrolysis Reactions
| Reaction | Equation | Type |
| With Water | H₂S₂O₇ + H₂O → 2H₂SO₄ | Highly exothermic |
| Stepwise Hydrolysis | SO₃ + H₂O → H₂SO₄ | Liberation of SO₃ first |
Acid-Base Properties
| Property | Formula/Value | Significance |
| pH | < 0 (extremely acidic) | Stronger than concentrated H₂SO₄ |
| Dissociation | H₂S₂O₇ ⇌ H₂SO₄ + SO₃ | Releases free SO₃ |
6. Physical Properties Formulas
| Property | Formula/Value | Units |
| Density | ρ = 1.9-2.0 | g/cm³ |
| Boiling Point | 317°C (for H₂S₂O₇) | °C |
| Melting Point | 35°C (for H₂S₂O₇) | °C |
| Vapor Pressure | High (fumes readily) | mmHg |
7. Concentration Calculations
Formula for Oleum Strength
% Free SO₃ = (Mass of free SO₃ / Total mass of oleum) × 100
Converting Between Different Expressions
| From | To | Formula |
| % SO₃ | H₂SO₄ equivalent | % H₂SO₄ = 100 + (0.225 × % SO₃) |
| Molarity | % SO₃ | Use density and molecular weights |
8. Industrial Applications Formulas
| Application | Relevant Formula | Process |
| Sulfonation | R-H + SO₃ → R-SO₃H | Organic compound sulfonation |
| Dehydration | R-OH → R + H₂O (with oleum) | Removal of water from alcohols |
| Nitration | Mixed acid preparation | HNO₃ + H₂SO₄ system |
9. Safety and Handling Formulas
| Hazard Type | Related Chemistry | Safety Note |
| Heat of Dilution | ΔH < 0 (highly exothermic) | Always add oleum to water, never reverse |
| Corrosivity | Dehydration reactions | Destroys organic matter |
| Fuming | SO₃ vapor pressure | Handle in well-ventilated areas |


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