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Q.
What is the formula of gypsum?
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Detailed Solution
Gypsum is a soft sulfate mineral composed of calcium sulfate dihydrate. This comprehensive reference provides all essential formulas related to gypsum and its various forms, designed for students studying chemistry, geology, and materials science.
Gypsum Formulas
| Formula Type | Chemical Formula | Common Name | Molecular Weight | Water Content | Description |
| Primary Gypsum Formula | CaSO₄·2H₂O | Gypsum (Dihydrate) | 172.17 g/mol | 2 water molecules | Natural hydrated calcium sulfate mineral |
| Anhydrous Gypsum Formula | CaSO₄ | Anhydrite | 136.14 g/mol | 0 water molecules | Completely dehydrated form of gypsum |
| Hemihydrate Formula | CaSO₄·½H₂O | Plaster of Paris (β-form) | 145.15 g/mol | 0.5 water molecules | Partially dehydrated gypsum used in construction |
| Alpha Hemihydrate Formula | CaSO₄·½H₂O | Dental Plaster (α-form) | 145.15 g/mol | 0.5 water molecules | High-strength hemihydrate with different crystal structure |
| Bassanite Formula | CaSO₄·½H₂O | Bassanite | 145.15 g/mol | 0.5 water molecules | Natural hemihydrate mineral |
| Selenite Formula | CaSO₄·2H₂O | Selenite | 172.17 g/mol | 2 water molecules | Transparent crystalline form of gypsum |
| Alabaster Formula | CaSO₄·2H₂O | Alabaster | 172.17 g/mol | 2 water molecules | Fine-grained, massive form of gypsum |
Chemical Reaction Formulas
Dehydration Reactions
| Reaction Type | Chemical Equation | Temperature Range | Application |
| Partial Dehydration | CaSO₄·2H₂O → CaSO₄·½H₂O + 1½H₂O | 120-180°C | Production of Plaster of Paris |
| Complete Dehydration | CaSO₄·2H₂O → CaSO₄ + 2H₂O | 300-400°C | Production of anhydrite |
| Two-Step Dehydration | CaSO₄·½H₂O → CaSO₄ + ½H₂O | 180-300°C | Complete water removal |
Hydration Reactions
| Reaction Type | Chemical Equation | Process | Time Required |
| Plaster Setting | CaSO₄·½H₂O + 1½H₂O → CaSO₄·2H₂O | Hardening of plaster | 10-30 minutes |
| Anhydrite Hydration | CaSO₄ + 2H₂O → CaSO₄·2H₂O | Slow natural process | Days to weeks |
Solubility Formulas
| Parameter | Formula/Value | Conditions | Units |
| Solubility Product (Ksp) | Ksp = [Ca²⁺][SO₄²⁻] | At 25°C | 2.4 × 10⁻⁵ |
| Solubility in Water | 2.6 g/L | At 25°C | grams per liter |
| Solubility Equation | CaSO₄·2H₂O ⇌ Ca²⁺ + SO₄²⁻ + 2H₂O | Equilibrium | - |
Percentage Composition Formulas
| Component | Formula for % Calculation | Percentage in Gypsum |
| Calcium (Ca) | (40.08/172.17) × 100 | 23.28% |
| Sulfur (S) | (32.07/172.17) × 100 | 18.62% |
| Oxygen (O) | (112.00/172.17) × 100 | 65.07% |
| Hydrogen (H) | (4.03/172.17) × 100 | 2.34% |
| Water Content | (36.03/172.17) × 100 | 20.93% |
Industrial Application Formulas
| Application | Formula/Calculation | Purpose | Industry |
| Cement Retarder | 2-5% CaSO₄·2H₂O by weight | Controls setting time | Construction |
| Soil Amendment | pH = 6.5-7.5 (target range) | Improves soil structure | Agriculture |
| Paper Filler | 10-25% CaSO₄·2H₂O by weight | Increases opacity | Paper Manufacturing |
Crystal System and Properties
| Property | Formula/Value | Description |
| Crystal System | Monoclinic | a ≠ b ≠ c, α = γ = 90°, β ≠ 90° |
| Density Formula | ρ = m/V | 2.31-2.33 g/cm³ for gypsum |
| Hardness (Mohs) | 1.5-2.0 | Very soft mineral |
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