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Q.

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 TypeFormulaNameExplanation
Chemical FormulaH₂SO₄ · nSO₃Oleum (General)Where 'n' represents the number of SO₃ molecules per H₂SO₄ molecule
Molecular FormulaH₂S₂O₇Disulfuric AcidMost common form when n=1
Structural FormulaHO-SO₂-O-SO₂-OHDisulfuric AcidShows the bonding arrangement
Alternative RepresentationH₂SO₄ + SO₃Oleum SolutionShows composition as mixture

2. Common Oleum Concentrations

Oleum TypeFormulaSO₃ ContentDescription
20% OleumH₂SO₄ · 0.25SO₃20% free SO₃Light fuming sulfuric acid
40% OleumH₂SO₄ · 0.67SO₃40% free SO₃Medium concentration oleum
65% OleumH₂SO₄ · 1.84SO₃65% free SO₃High concentration oleum
100% OleumSO₃100% SO₃Pure sulfur trioxide

3. Formation and Preparation Formulas

Reaction TypeChemical EquationDescription
Direct DissolutionH₂SO₄ + SO₃ → H₂S₂O₇SO₃ dissolves in concentrated H₂SO₄
Contact Process2SO₂ + O₂ → 2SO₃ (then SO₃ + H₂SO₄)Industrial production method
Pyrosulfuric Acid Formation2H₂SO₄ → H₂S₂O₇ + H₂ODehydration of sulfuric acid

4. Molecular Structure and Bonding

AspectFormula/DescriptionDetails
Molecular WeightH₂S₂O₇ = 178.14 g/molFor disulfuric acid
Bond AnglesS-O-S ≈ 123°Angular structure
Hybridizationsp³ (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

ReactionEquationType
With WaterH₂S₂O₇ + H₂O → 2H₂SO₄Highly exothermic
Stepwise HydrolysisSO₃ + H₂O → H₂SO₄Liberation of SO₃ first

Acid-Base Properties

PropertyFormula/ValueSignificance
pH< 0 (extremely acidic)Stronger than concentrated H₂SO₄
DissociationH₂S₂O₇ ⇌ H₂SO₄ + SO₃Releases free SO₃

6. Physical Properties Formulas

PropertyFormula/ValueUnits
Densityρ = 1.9-2.0g/cm³
Boiling Point317°C (for H₂S₂O₇)°C
Melting Point35°C (for H₂S₂O₇)°C
Vapor PressureHigh (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

FromToFormula
% SO₃H₂SO₄ equivalent% H₂SO₄ = 100 + (0.225 × % SO₃)
Molarity% SO₃Use density and molecular weights

8. Industrial Applications Formulas

ApplicationRelevant FormulaProcess
SulfonationR-H + SO₃ → R-SO₃HOrganic compound sulfonation
DehydrationR-OH → R + H₂O (with oleum)Removal of water from alcohols
NitrationMixed acid preparationHNO₃ + H₂SO₄ system

9. Safety and Handling Formulas

Hazard TypeRelated ChemistrySafety Note
Heat of DilutionΔH < 0 (highly exothermic)Always add oleum to water, never reverse
CorrosivityDehydration reactionsDestroys organic matter
FumingSO₃ vapor pressureHandle in well-ventilated areas
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