Molar mass of zinc sulphate heptahydrate (ZnSO4·7H2O)
The molar mass of zinc sulphate heptahydrate, ZnSO4·7H2O, is 287.54 g/mol. One mole of it, which is 6.022 × 1023 formula units, has a mass of 287.54 grams.
287.54 g/mol
65.38 + 32.06 + 11 × 15.999 + 14 × 1.0080 = 287.541 · 27 atoms in the formula · also called white vitriol
About zinc sulphate heptahydrate
White vitriol is the common crystalline form of zinc sulphate, with seven water molecules.
Other names: white vitriol.
The working
The formula ZnSO4·7H2O has 1 zinc atom, 1 sulphur atom, 11 oxygen atoms and 14 hydrogen atoms, 27 atoms in all. Multiply each count by the atomic weight of the element and add:
| Element | Atoms | Atomic weight | Total | Share by mass |
|---|---|---|---|---|
| Zinc (Zn) | 1 | 65.38 | 65.380 | 22.74% |
| Sulphur (S) | 1 | 32.06 | 32.060 | 11.15% |
| Oxygen (O) | 11 | 15.999 | 175.989 | 61.20% |
| Hydrogen (H) | 14 | 1.0080 | 14.112 | 4.91% |
65.38 + 32.06 + 11 × 15.999 + 14 × 1.0080 = 287.541 g/mol
With the rounded atomic masses used in many school books (Zn = 65, S = 32, O = 16, H = 1) the answer is 287 g/mol. The difference from 287.54 is too small to matter in most school sums.
The water in the crystal
The part after the dot is water of crystallisation: 7 molecules of water for each ZnSO4. That water has a mass of 7 × 18.015 = 126.11 g/mol, which is 43.9% of the crystal. Without it, the anhydrous part ZnSO4 has a molar mass of 161.44 g/mol. Heating drives the water off, so a sample loses up to 43.9% of its mass. How this is used to find the number of waters is shown on the hydrates page.
Percentage composition
By mass, ZnSO4·7H2O is 22.74% zinc, 11.15% sulphur, 61.20% oxygen and 4.91% hydrogen. The largest share comes from oxygen. In a 100 g sample there are 22.7 g of zinc, 11.1 g of sulphur, 61.2 g of oxygen and 4.9 g of hydrogen.
Notice that hydrogen has more atoms in the formula (14) than oxygen (11), yet gives a smaller share of the mass. Percentage by mass depends on how heavy each atom is, not only on how many there are.
Worked examples
Grams to moles. How many moles are in 25 g of ZnSO4·7H2O? Divide the mass by the molar mass: 25 ÷ 287.54 = 0.08694 mol.
Moles to grams. What is the mass of 0.1 mol of ZnSO4·7H2O? Multiply: 0.1 × 287.54 = 28.75 g.
Counting particles. 25 g contains 0.08694 mol × 6.022 × 1023 = 5.236 × 1022 formula units.
Making a solution. A 0.1 mol/L solution contains 0.1 × 287.54 = 28.75 g of ZnSO4·7H2O in each litre. For 250 mL, weigh 7.189 g and make it up to the mark with water.
Quick conversion tables
| Amount | Mass |
|---|---|
| 0.1 mol | 28.75 g |
| 0.5 mol | 143.8 g |
| 1 mol | 287.5 g |
| 2 mol | 575.1 g |
| 5 mol | 1438 g |
| Mass | Moles |
|---|---|
| 1 g | 0.003478 mol |
| 10 g | 0.03478 mol |
| 100 g | 0.3478 mol |
| 1 kg | 3.478 mol |
For other amounts use the grams and moles converter.
Questions people ask
What is the molar mass of ZnSO4.7H2O?
The molar mass of zinc sulphate heptahydrate (ZnSO4.7H2O) is 287.54 g/mol, or 287.541 g/mol before rounding, using IUPAC abridged atomic weights.
How many moles are in 100 g of ZnSO4.7H2O?
100 ÷ 287.54 = 0.3478 mol.
What is the mass of one formula unit of ZnSO4.7H2O?
Divide the molar mass by the Avogadro constant: 287.54 ÷ 6.022 × 1023 = 4.775 × 10-22 g.
What is the percentage of oxygen in ZnSO4.7H2O?
Oxygen makes up 61.20% of the mass of ZnSO4.7H2O: 11 × 15.999 ÷ 287.541 × 100.
Which values? This site uses the abridged standard atomic weights published by IUPAC (CIAAW), read on 12 November 2026. Your textbook or question paper may round them differently, for example H = 1 and O = 16, so its answer can differ slightly. In an exam, use the values the paper gives.
More hydrates
- Ammonium iron(II) sulphate hexahydrate FeSO4·(NH4)2SO4·6H2O · 392.12
- Potassium aluminium sulphate dodecahydrate KAl(SO4)2·12H2O · 474.37
- Barium chloride dihydrate BaCl2·2H2O · 244.26
- Calcium chloride dihydrate CaCl2·2H2O · 147.01
- Copper(II) sulphate pentahydrate CuSO4·5H2O · 249.68
- Sodium carbonate decahydrate Na2CO3·10H2O · 286.14