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Molar mass of iron(III) sulphate (Fe2(SO4)3)

The molar mass of iron(III) sulphate, Fe2(SO4)3, is 399.86 g/mol. One mole of it, which is 6.022 × 1023 formula units, has a mass of 399.86 grams.

399.86 g/mol

2 × 55.845 + 3 × 32.06 + 12 × 15.999 = 399.858 · 17 atoms in the formula · also called ferric sulfate

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About iron(III) sulphate

Iron(III) sulphate is used in water treatment and as a mordant in dyeing. It has two iron atoms and three sulphate groups in each formula unit.

Other names: ferric sulfate.

The working

The formula Fe2(SO4)3 has 2 iron atoms, 3 sulphur atoms and 12 oxygen atoms, 17 atoms in all. Multiply each count by the atomic weight of the element and add:

ElementAtomsAtomic weightTotalShare by mass
Iron (Fe)255.845111.69027.93%
Sulphur (S)332.0696.18024.05%
Oxygen (O)1215.999191.98848.01%

2 × 55.845 + 3 × 32.06 + 12 × 15.999 = 399.858 g/mol

With the rounded atomic masses used in many school books (Fe = 56, S = 32, O = 16) the answer is 400 g/mol. The difference from 399.86 is too small to matter in most school sums.

Percentage composition

By mass, Fe2(SO4)3 is 27.93% iron, 24.05% sulphur and 48.01% oxygen. The largest share comes from oxygen. In a 100 g sample there are 27.9 g of iron, 24.1 g of sulphur and 48.0 g of oxygen.

Worked examples

Grams to moles. How many moles are in 5 g of Fe2(SO4)3? Divide the mass by the molar mass: 5 ÷ 399.86 = 0.0125 mol.

Moles to grams. What is the mass of 0.25 mol of Fe2(SO4)3? Multiply: 0.25 × 399.86 = 99.96 g.

Counting particles. 5 g contains 0.0125 mol × 6.022 × 1023 = 7.530 × 1021 formula units.

Making a solution. A 0.1 mol/L solution contains 0.1 × 399.86 = 39.99 g of Fe2(SO4)3 in each litre. For 250 mL, weigh 9.996 g and make it up to the mark with water.

Quick conversion tables

AmountMass
0.1 mol39.99 g
0.5 mol199.9 g
1 mol399.9 g
2 mol799.7 g
5 mol1999 g
MassMoles
1 g0.002501 mol
10 g0.02501 mol
100 g0.2501 mol
1 kg2.501 mol

For other amounts use the grams and moles converter.

Questions people ask

What is the molar mass of Fe2(SO4)3?

The molar mass of iron(III) sulphate (Fe2(SO4)3) is 399.86 g/mol, or 399.858 g/mol before rounding, using IUPAC abridged atomic weights.

How many moles are in 100 g of Fe2(SO4)3?

100 ÷ 399.86 = 0.2501 mol.

What is the mass of one formula unit of Fe2(SO4)3?

Divide the molar mass by the Avogadro constant: 399.86 ÷ 6.022 × 1023 = 6.640 × 10-22 g.

What is the percentage of oxygen in Fe2(SO4)3?

Oxygen makes up 48.01% of the mass of Fe2(SO4)3: 12 × 15.999 ÷ 399.858 × 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.

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