Molar Mass of Calcium Phosphate (Ca₃(PO₄)₂)
Learn how chemists calculate the molar mass of Calcium Phosphate (Ca₃(PO₄)₂), with a clear formula breakdown, worked steps, and study notes · IUPAC name: Tricalcium bis(phosphate).
Quick answer
The molar mass of Calcium Phosphate (Ca₃(PO₄)₂) is
310.174g/mol
One mole of Calcium Phosphate therefore has a mass of 310.174 grams—the value you use for stoichiometry and laboratory preparation.
Reviewed for educational accuracy · Accuracy policy
- CAS Registry Number
- 7758-87-4
- PubChem CID
- 24456
- SMILES
- [Ca+2].[Ca+2].[Ca+2].[O-]P(=O)([O-])[O-].[O-]P(=O)([O-])[O-]
Step-by-step calculation
Let's find the molar mass of Calcium Phosphate (Ca₃(PO₄)₂) together—step by step, as if you are seeing the formula for the first time.
Step 1 — Look at the chemical formula
The formula is Ca₃(PO₄)₂. Each letter stands for an element. The little number after a letter (the subscript) tells you how many atoms of that element are in one molecule or formula unit.
- 3 Calcium atoms (Ca)
- 2 Phosphorus atoms (P)
- 8 Oxygen atoms (O)
Step 2 — Look up each atomic mass
Atomic mass comes from the periodic table. It is the average mass of one mole of atoms of that element, in grams per mole (g/mol). Think of it as the "price tag" for one mole of that element.
- Calcium (Ca) = 40.078 g/mol
- Phosphorus (P) = 30.974 g/mol
- Oxygen (O) = 15.999 g/mol
Step 3 — Multiply atoms × atomic mass
Why multiply? If one oxygen atom "costs" about 16 g/mol, then two oxygen atoms cost twice as much. Each element's contribution is: number of atoms × atomic mass.
- 3 × 40.078 = 120.234 g/mol (Calcium)
- 2 × 30.974 = 61.948 g/mol (Phosphorus)
- 8 × 15.999 = 127.992 g/mol (Oxygen)
Step 4 — Add the contributions
Why add? The molar mass of the whole compound is simply the total mass of every atom in the formula. Add each element's contribution:
120.234 + 61.948 + 127.992 = 310.174 g/mol
Step 5 — Final answer
Molar mass of Calcium Phosphate = 310.174 g/mol
That means one mole of Calcium Phosphate (Ca₃(PO₄)₂) has a mass of about 310.17 grams.
Quick summary
Read the formula → count atoms → look up atomic masses → multiply → add → report g/mol. For Ca₃(PO₄)₂, the total is 310.174 g/mol.
Common beginner mistakes
- Writing the formula as CaPO₄ or Ca₂(PO₄)₃ instead of the charge-balanced Ca₃(PO₄)₂.
- Confusing tricalcium phosphate with hydroxyapatite — related but chemically distinct calcium phosphate phases.
- Assuming calcium phosphate is soluble like calcium chloride — it is one of the least soluble common calcium salts.
Memory trick
Balance ionic charges first (Ca²⁺ and PO₄³⁻) to derive the 3:2 subscript pattern without memorizing it.
Mini practice
Without looking above, list the atoms in Ca₃(PO₄)₂ and write one multiplication line for the heaviest element. Then check your work against Step 3.
Real-world example
If a recipe asks for 0.100 mol of Calcium Phosphate, mass needed = 0.100 × 310.174 = 31.017 g. That is how chemists turn a mole amount into a weighable sample.
Atomic contribution table
Each row shows how much mass one element contributes to the total for Ca₃(PO₄)₂.
| Element | Atoms | Atomic mass | Contribution | Mass % |
|---|---|---|---|---|
| Ca | 3 | 40.078 | 120.234 g/mol | 38.8% |
| P | 2 | 30.974 | 61.948 g/mol | 20.0% |
| O | 8 | 15.999 | 127.992 g/mol | 41.3% |
| Total molar mass | 310.174 g/mol | 100% | ||
Mass contribution chart
Teal and blue circles alternate like positive and negative ions in a crystal lattice. Formula mass is the mass of one formula unit, not a single molecule.
Download study sheets
Save a printable summary, revision sheet, practice worksheet, or laboratory reference for Calcium Phosphate (Ca₃(PO₄)₂).
Practice this calculation
Without looking above, write the atom count for Ca₃(PO₄)₂, then compute the molar mass. Check your answer against 310.174 g/mol.
Next challenge: how many grams are in 0.250 mol of Calcium Phosphate? Multiply 0.250 × 310.174 to get 77.544 g.
Physical and chemical properties
Physical properties
| Appearance | White amorphous powder or crystalline solid |
| Color | White |
| Odor | Odorless |
| State (STP) | Solid |
| Density | 3.14 g/cm³ |
| Melting point | 1,670 °C |
| Boiling point | Decomposes before boiling |
| Solubility | ~0.0025 g/L water at 25 °C (very slightly soluble); dissolves readily in dilute acids |
| Crystal structure | Rhombohedral (whitlockite-related structure) |
Chemical properties
| Classification | Ionic phosphate salt / alkaline earth phosphate |
| Family | Group 2 orthophosphate (alkaline earth phosphate) |
| Basicity | Weakly basic (phosphate anion hydrolyzes water slightly) |
| Polarity | Ionic |
| Oxidation states | Ca: +2, P: +5, O: −2 |
Applications
Industrial uses
- Superphosphate and triple superphosphate fertilizer feedstock
- Food additive: anticaking agent, calcium fortification, leavening acid (E341)
- Bone china and specialty ceramic manufacture
- Biomedical implant coatings and bone graft substitute materials
Laboratory uses
- Calcium phosphate co-precipitation method for mammalian cell transfection
- Model compound for phosphate solubility and acid–base chemistry
- Synthesis precursor for hydroxyapatite and other calcium phosphate phases
Rock phosphate mining and processing generate phosphogypsum byproducts and can contribute to phosphate runoff and eutrophication if not managed carefully.
The principal mineral component (as hydroxyapatite) of bone and tooth enamel in vertebrates; essential dietary source of calcium and phosphorus for skeletal mineralization.
Preparation and production
Precipitated in the laboratory by combining soluble calcium salts (CaCl₂) with soluble phosphate salts (Na₃PO₄ or (NH₄)₂HPO₄) under controlled pH. Industrially derived from mined phosphate rock, or produced as a purified food/pharmaceutical-grade precipitate from milk processing byproducts and controlled precipitation reactions.
Global phosphate rock mining (predominantly calcium phosphate minerals) exceeds 220 million tonnes annually, the overwhelming majority destined for fertilizer production; food- and pharmaceutical-grade tricalcium phosphate represents a much smaller specialty market.
Important reactions of Calcium Phosphate
Ca₃(PO₄)₂(s) + 4 H₃PO₄ → 3 Ca(H₂PO₄)₂
- Reaction type
- Acid–salt (superphosphate formation)
- Conditions
- Concentrated phosphoric acid, industrial
- Explanation
- Phosphoric acid converts insoluble tricalcium phosphate into soluble monocalcium phosphate, the basis of triple superphosphate fertilizer manufacture.
- Products
- Monocalcium phosphate (soluble fertilizer form)
- Why it matters
- Triple superphosphate fertilizer production
Related ideas: Acid–base reactions · Fertilizer chemistry · Solubility conversion
Ca₃(PO₄)₂(s) + 2 H₂SO₄ → Ca(H₂PO₄)₂ + 2 CaSO₄
- Reaction type
- Acid–salt (superphosphate formation)
- Conditions
- Concentrated sulfuric acid, industrial
- Explanation
- Sulfuric acid treatment of phosphate rock produces soluble superphosphate fertilizer alongside gypsum byproduct.
- Products
- Superphosphate (monocalcium phosphate/gypsum mixture)
- Why it matters
- Superphosphate fertilizer manufacture
Related ideas: Acid–base reactions · Industrial chemistry · Fertilizer production
Ca₃(PO₄)₂(s) + 6 HCl(aq) → 3 CaCl₂(aq) + 2 H₃PO₄(aq)
- Reaction type
- Acid–salt dissolution
- Conditions
- Aqueous, dilute strong acid
- Explanation
- Strong acid protonates phosphate stepwise, dissolving the otherwise insoluble calcium phosphate lattice into soluble ions.
- Products
- Calcium chloride and phosphoric acid
- Why it matters
- Demonstrating acid-driven dissolution, digestive dissolution analog
Related ideas: Solubility · Acid–base equilibria · Dissolution reactions
3 CaCl₂(aq) + 2 Na₃PO₄(aq) → Ca₃(PO₄)₂(s) + 6 NaCl(aq)
- Reaction type
- Precipitation (double displacement)
- Conditions
- Aqueous, room temperature
- Explanation
- Mixing soluble calcium and phosphate salts precipitates insoluble calcium phosphate — the basis of the calcium phosphate DNA co-precipitation transfection method.
- Products
- Calcium phosphate precipitate and sodium chloride
- Why it matters
- Molecular biology transfection technique, water treatment phosphate removal
Related ideas: Precipitation reactions · Solubility rules · Molecular biology techniques
History and discovery
Bone ash, an impure form of calcium phosphate, was used in ceramics and as a fertilizer amendment long before its chemical composition was understood. Justus von Liebig's mid-19th-century studies of mineral nutrition helped establish phosphate's essential role in plant growth, spurring the development of superphosphate fertilizer from phosphate rock treated with sulfuric acid — a technology patented by John Bennet Lawes in 1842 that launched the modern chemical fertilizer industry.
Known through bone ash use since antiquity; chemical characterization as calcium phosphate advanced through 18th–19th century mineral and agricultural chemistry, notably by Liebig and Lawes.
Interesting facts
- About 99% of the calcium in the human body is stored as calcium phosphate mineral in bones and teeth.
- Phosphate rock reserves are geographically concentrated, with Morocco holding the majority of the world's known deposits — a geopolitical factor in global food security.
- The calcium phosphate transfection method, developed in the 1970s, remains a widely used and inexpensive way to introduce DNA into cells in research labs today.
- Bone china gets its name and translucent quality from the calcium phosphate derived from bone ash mixed into the ceramic formula.
Comparison with similar compounds
Ca₃(PO₄)₂ (310.18 g/mol) represents idealized tricalcium phosphate stoichiometry, while the actual bone and tooth mineral hydroxyapatite, Ca₅(PO₄)₃OH (502.31 g/mol per formula unit), incorporates hydroxide ions into a more complex crystal lattice.
Storage, handling, and safety
Stable indefinitely as a dry solid under normal storage conditions. Keep away from strong acids, which will dissolve it, and from prolonged moisture exposure in food-grade applications to prevent caking.
Low toxicity; treat as a nuisance dust. Use standard dust masks and eye protection when handling large quantities of fine powder to avoid respiratory or eye irritation.
Generally recognized as safe for food and pharmaceutical use; fine powder may cause mild respiratory or eye irritation.
- Mild respiratory irritation from inhaled fine powder
- Eye irritation from dust contact
- No significant acute toxicity at typical exposure levels
Classification: Not classified as hazardous under GHS for food/pharmaceutical-grade material
Exam notes and student tips
Exam notes
- Molar mass Ca₃(PO₄)₂ = 3(40.08) + 2[30.97 + 4(16.00)] = 3(40.08) + 2(94.97) = 310.18 g/mol.
- Charge balance: 3 Ca²⁺ (+6 total) balances 2 PO₄³⁻ (−6 total).
- Ca₃(PO₄)₂ is insoluble in water (Ksp very small) but dissolves readily in dilute strong acids.
- Distinguish from hydroxyapatite Ca₁₀(PO₄)₆(OH)₂ — the actual bone mineral, not simple tricalcium phosphate.
Student tips
- Balance ionic charges first (Ca²⁺ and PO₄³⁻) to derive the 3:2 subscript pattern without memorizing it.
- Link rock phosphate and superphosphate fertilizer production to acid–base reactions converting insoluble phosphate to soluble forms.
- Remember bone mineral is hydroxyapatite, not pure Ca₃(PO₄)₂, for biochemistry and physiology questions.
Common mistakes
- Writing the formula as CaPO₄ or Ca₂(PO₄)₃ instead of the charge-balanced Ca₃(PO₄)₂.
- Confusing tricalcium phosphate with hydroxyapatite — related but chemically distinct calcium phosphate phases.
- Assuming calcium phosphate is soluble like calcium chloride — it is one of the least soluble common calcium salts.
Misconceptions
- Calcium phosphate supplements are not identical to bone mineral — bone is hydroxyapatite, a more complex phosphate phase.
- Phosphate fertilizers are not directly mined and spread — rock phosphate must be chemically converted to soluble forms first.
- Ca₃(PO₄)₂ is not soluble in the digestive tract without stomach acid — its dissolution depends on the acidic environment.
Practice questions
1. Calculate the molar mass of Ca₃(PO₄)₂.
Show answer
3(40.08) + 2[30.97 + 4(16.00)] = 120.24 + 189.94 = 310.18 g/mol
2. How many moles of Ca²⁺ are in 62.04 g of Ca₃(PO₄)₂?
Show answer
62.04 g ÷ 310.18 g/mol = 0.200 mol Ca₃(PO₄)₂ → 0.200 × 3 = 0.600 mol Ca²⁺
3. What mass of H₃PO₄ is needed to fully dissolve 31.0 g of Ca₃(PO₄)₂ via HCl reaction stoichiometry (producing H₃PO₄)?
Hint: Each mole of Ca₃(PO₄)₂ yields 2 mol H₃PO₄ upon complete acid dissolution.
Show answer
31.0 g ÷ 310.18 g/mol = 0.100 mol Ca₃(PO₄)₂ → 0.200 mol H₃PO₄ produced × 98.00 g/mol = 19.6 g
4. Why is calcium phosphate insoluble in water but soluble in acid?
Show answer
Acid protonates the phosphate anion, disrupting the ionic lattice and forming soluble phosphoric acid species and free calcium ions.
Frequently asked questions about Calcium Phosphate
310.18 g/mol for Ca₃(PO₄)₂.
Chemistry of Calcium Phosphate
The sections above give the number you need for calculations. Here we look more closely at how Calcium Phosphate (Ca₃(PO₄)₂) behaves chemically—so the molar mass connects to real reactions, properties, and laboratory practice.
Calcium phosphate (Ca₃(PO₄)₂) is an ionic compound with molar mass 310.18 g/mol (Ca 3 × 40.08 + P 2 × 30.97 + O 8 × 16.00), composed of three Ca²⁺ ions balancing two PO₄³⁻ ions. As the simplified "tricalcium phosphate" formula, it represents the basic calcium-to-phosphate stoichiometry found throughout biological mineralization, even though the actual mineral phase in bone and teeth is the more complex, hydroxide-containing compound hydroxyapatite, Ca₅(PO₄)₃OH (or more precisely Ca₁₀(PO₄)₆(OH)₂).
Roughly 99% of the body's calcium and 85% of its phosphorus reside in the skeleton and teeth as this calcium phosphate mineral phase, deposited onto a collagen protein scaffold to give bone its combination of rigidity and slight flexibility — a natural composite material that chemists and materials scientists have long tried to replicate synthetically for bone grafts and dental implant coatings. The same fundamental Ca:P chemistry that builds skeletons also governs the global fertilizer industry, since rock phosphate (largely calcium phosphate minerals like fluorapatite) is the essential raw material converted into superphosphate and other soluble phosphate fertilizers that sustain modern agriculture.
Beyond biology and agriculture, calcium phosphate serves as a food additive (anticaking agent, calcium fortification, leavening acid component), a component of bone china and specialty ceramics, and — significant in molecular biology — as the classic calcium phosphate co-precipitation method used for decades to transfect DNA into cultured mammalian cells, exploiting the tendency of calcium and phosphate ions to co-precipitate around nucleic acid molecules under controlled conditions.
Ca₃(PO₄)₂ balances three Ca²⁺ ions (total charge +6) against two PO₄³⁻ ions (total charge −6). Each phosphate ion is a tetrahedral anion with phosphorus in the +5 oxidation state at the center of four oxygen atoms. This simplified formula represents the idealized calcium orthophosphate stoichiometry, distinct from the hydroxide-containing hydroxyapatite that actually mineralizes bone and tooth enamel.
Ca₃(PO₄)₂ is insoluble in neutral or basic water but dissolves readily in acids, since phosphate is the conjugate base of the weak triprotic phosphoric acid and readily accepts protons. It reacts with sulfuric acid industrially to release soluble monocalcium phosphate and phosphoric acid (the basis of superphosphate fertilizer manufacture), and it can be converted to the biologically relevant hydroxyapatite phase by reaction with hydroxide-containing solutions under physiological-like conditions.
From tricalcium phosphate to hydroxyapatite in bone
The simplified formula Ca₃(PO₄)₂ captures the basic 3:2 calcium-to-phosphate ratio, but the actual mineral in bone and tooth enamel is hydroxyapatite, Ca₁₀(PO₄)₆(OH)₂ — a related but more complex calcium phosphate phase that incorporates hydroxide ions into its crystal lattice. Bone forms as nanocrystals of hydroxyapatite deposited onto a collagen protein matrix, combining mineral hardness with the collagen's tensile flexibility.
Rock phosphate and the global fertilizer supply chain
Calcium phosphate minerals, primarily fluorapatite (Ca₅(PO₄)₃F), are mined as 'rock phosphate' and treated with sulfuric or phosphoric acid to produce soluble superphosphate and triple superphosphate fertilizers. Because phosphorus has no atmospheric cycle analogous to nitrogen fixation, mined calcium phosphate deposits are essentially the sole practical source of phosphate fertilizer feeding global agriculture.
Calcium phosphate co-precipitation in molecular biology
A classic technique for introducing foreign DNA into cultured mammalian cells relies on mixing calcium chloride and phosphate buffer to form a fine calcium phosphate precipitate that co-precipitates plasmid DNA; cells take up these DNA-containing particles by endocytosis, making this simple inorganic chemistry a foundational tool in genetic engineering and cell biology research.
Solubility switch: insoluble in water, soluble in acid
Calcium phosphate's near-total insolubility in neutral water — essential for keeping bone mineral stable at physiological pH — contrasts sharply with its ready dissolution in acidic environments, since protonation of phosphate to HPO₄²⁻, H₂PO₄⁻, or H₃PO₄ removes the ion pairing that holds the solid lattice together. This is why acidic soil conditions or acidic beverages can leach calcium phosphate, and why stomach acid readily dissolves dietary calcium phosphate supplements.
Food, ceramic, and biomedical material applications
Beyond biology, calcium phosphate serves as an anticaking and calcium-fortifying food additive, a raw material for bone china and specialty ceramics, and a biocompatible coating on orthopedic and dental implants — exploiting the fact that synthetic calcium phosphate phases closely resemble natural bone mineral and encourage bone cells to integrate with implant surfaces.
Recalculate any formula with the molar mass calculator, compare atoms on the periodic table, or browse more compounds in the salt library.
References and further reading
- PubChem CID 24456: Tricalcium phosphate compound data
- USGS: Phosphate rock mining and reserve statistics
- NIST Chemistry WebBook: Thermodynamic properties

