Complete Guide to Oleum Formulas for Students

What is Oleum?

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
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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

Important Points for Students

Formulas to Remember:

  1. Basic Formula: H₂S₂O₇ (disulfuric acid)
  2. General Formula: H₂SO₄ · nSO₃
  3. Hydrolysis: H₂S₂O₇ + H₂O → 2H₂SO₄

Study Tips:

  • Structure: Remember the S-O-S bridge in disulfuric acid
  • Concentration: Higher % SO₃ means stronger oleum
  • Safety: Always extremely careful with water contact

Common Exam Questions:

  • Molecular formula and structure of oleum
  • Hydrolysis reactions and products
  • Industrial preparation methods
  • Concentration calculations

Quick Reference

Parameter Value/Formula
Most Common Formula H₂S₂O₇
Alternative Name Fuming sulfuric acid
Key Reaction SO₃ + H₂SO₄ → H₂S₂O₇
Molecular Weight 178.14 g/mol
Industrial Importance Sulfonation, dehydration agent

Frequently Asked Questions (FAQs) About Oleum Formulas

1. What is the exact chemical formula of oleum?

The chemical formula of oleum depends on its concentration:

  • Most common form: H₂S₂O₇ (disulfuric acid or pyrosulfuric acid)
  • General formula: H₂SO₄ · nSO₃ (where n = moles of SO₃ per mole of H₂SO₄)
  • Alternative representation: H₂SO₄ + SO₃

For standard oleum, H₂S₂O₇ is the accepted molecular formula, which represents one molecule of SO₃ dissolved in one molecule of H₂SO₄. In exams, if asked for “the chemical formula of oleum,” H₂S₂O₇ is the most appropriate answer.

2. How do you calculate the percentage strength of oleum?

Oleum strength is expressed as % free SO₃:

Formula: % Free SO₃ = (Mass of free SO₃ / Total mass of solution) × 100

Example Calculation:

  • If 100g oleum contains 20g free SO₃
  • % Free SO₃ = (20/100) × 100 = 20% oleum

Converting to H₂SO₄ equivalent:

  • % H₂SO₄ equivalent = 100 + (0.225 × % SO₃)
  • For 20% oleum: 100 + (0.225 × 20) = 104.5% H₂SO₄

This means 20% oleum has the same strength as 104.5% sulfuric acid (theoretical concentration).

3. What happens when oleum reacts with water? Write the formula.

When oleum reacts with water, it undergoes vigorous hydrolysis:

Main Reaction: H₂S₂O₇ + H₂O → 2H₂SO₄

Or in two steps:

  1. H₂S₂O₇ → H₂SO₄ + SO₃
  2. SO₃ + H₂O → H₂SO₄

Important Points:

  • This reaction is highly exothermic (releases tremendous heat)
  • Can cause explosive boiling if water is added to oleum
  • SAFETY RULE: Always add oleum slowly to water, never water to oleum
  • Final product is concentrated sulfuric acid (H₂SO₄)

4. What is the difference between oleum and sulfuric acid formula?

Main differences in formulas and composition:

Aspect Sulfuric Acid Oleum
Formula H₂SO₄ H₂S₂O₇ or H₂SO₄·SO₃
Composition Pure sulfuric acid SO₃ dissolved in H₂SO₄
% Strength Up to 98% (concentrated) 100%+ (as H₂SO₄ equivalent)
State Oily liquid, non-fuming Fuming liquid (releases SO₃)
Reactivity Strong acid Even stronger oxidizing agent
Water Content Contains ~2% water Contains excess SO₃, no free water

Note: Oleum is essentially sulfuric acid with extra SO₃ dissolved in it, making it “super-concentrated.”

5. How is oleum prepared? What is the formation formula?

Oleum is prepared by dissolving sulfur trioxide in concentrated sulfuric acid:

Primary Formation Reaction: H₂SO₄ (conc.) + SO₃ → H₂S₂O₇ (oleum)

Industrial Preparation (Contact Process):

Step 1: Sulfur dioxide formation

  • S + O₂ → SO₂

Step 2: Catalytic oxidation

  • 2SO₂ + O₂ → 2SO₃ (V₂O₅ catalyst, 450°C)

Step 3: Absorption in H₂SO₄

  • SO₃ + H₂SO₄ → H₂S₂O₇

Alternative Method (Laboratory):

  • Dehydration: 2H₂SO₄ → H₂S₂O₇ + H₂O (requires heating and P₂O₅)

The Contact Process is the standard industrial method for commercial oleum production.

6. What is the structural formula of oleum? How to draw it?

The structural formula shows the arrangement of atoms in oleum (H₂S₂O₇):

Linear Representation: HO—SO₂—O—SO₂—OH

Detailed Structure:

 O O
 ║ ║
 H—O—S—O—S—O—H
 ║ ║
 O O

Structural Features:

  1. Two sulfur atoms connected by an oxygen bridge (S—O—S)
  2. Each sulfur has:
    • Two double-bonded oxygen atoms (S=O)
    • One bridging oxygen (S—O—S)
    • One hydroxyl group (—OH)
  3. Bond angles: Approximately 109.5° around sulfur (sp³ hybridization)
  4. Central bridge: S—O—S angle ≈ 123°

Drawing Tips for Exams:

  • Show all oxygen atoms clearly
  • Indicate double bonds (S=O) with double lines
  • Mark the bridging oxygen connecting two sulfur atoms
  • Add OH groups at both ends

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