Zinc sulfate heptahydrate: Moles to Grams

Convert moles of zinc sulfate heptahydrate to the mass to weigh out, using 287.541 g/mol.

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Moles to grams for zinc sulfate heptahydrate is a multiplication by 287.541 g/mol. A mole weighs 287.541 g, 100 mmol weighs 28.7541 g, 10 mmol weighs 2.87541 g and a millimole is 287.541 mg. Those four figures cover most of what gets weighed out in practice, and the table below extends them from a micromole up to ten moles.

The figure comes from the formula. Zinc sulfate heptahydrate is 65.38 (Zn) + 32.06 (S) + 11 × 15.999 (O) + 14 × 1.008 (H), which is 287.541 g/mol, taking standard atomic weights, and every page here computes that sum rather than quoting it. Oxygen makes up the largest share of the mass: 11 of the 27 atoms in a formula unit are oxygen, and they account for 175.989 g of the 287.541 g, or 61.2% by mass. The derivation table below breaks the whole molecule down element by element.

Two habits make the weighed mass match the calculation. Weigh into a container you have tared rather than onto paper, because what stays behind on paper is a real loss — on a 100 mg weighing it is easily a percent. And when the target is under about 20 mg, weigh ten times that and dilute, since the absolute error of the balance does not shrink with the sample.

The zinc source in fertiliser and in supplements, and an astringent. The monohydrate at 179.47 g per mole is also sold, so check which you have. At 287.541 g/mol it is heavier than 31 of the 34 salts covered here, and that ranking matters more than it looks: iron(II) sulfate heptahydrate has a molar mass of 278.006 g/mol, so a gram of it contains 3.43% more formula units than a gram of zinc sulfate heptahydrate. Weigh by mass and you are not weighing equal amounts of substance.

Watch which form you have. This page is the hydrate, ZnSO4·7H2O, at 287.541 g/mol; the anhydrous salt is ZnSO4 at 161.436 g/mol. The 126.105 g of water per mole is 43.86% of the weight, so weighing the hydrate as though it were anhydrous puts you 43.86% short on the compound itself. Suppliers sell both, and the label is the only way to tell them apart by eye.

The formula

m = n × 287.541
n
The amount of zinc sulfate heptahydrate you need, in moles
287.541
The molar mass of zinc sulfate heptahydrate in g/mol, derived from its formula
m
The mass to weigh out, in grams

How it works, step by step

  1. Enter the amount you need, in moles.
  2. It is multiplied by 287.541 g/mol.
  3. The result is the mass to weigh out, also given in milligrams.
  4. Weigh into a tared container; anything left in the boat is a real loss from the amount you calculated.

Worked examples

5 mmol of zinc sulfate heptahydrate in grams

5 mmol × 287.541 g/mol = 1.43771 g, which is 1437.7 mg. Doubling the amount doubles the mass to 2.87541 g, because the relationship is a plain proportion once the molar mass is fixed.

250 mmol of zinc sulfate heptahydrate in grams

250 mmol × 287.541 g/mol = 71.8852 g, which is 71,885.2 mg. Doubling the amount doubles the mass to 143.77 g, because the relationship is a plain proportion once the molar mass is fixed.

2 mol of zinc sulfate heptahydrate in grams

2 mol × 287.541 g/mol = 575.082 g, which is 575,082 mg. Doubling the amount doubles the mass to 1150.16 g, because the relationship is a plain proportion once the molar mass is fixed.

How to read your score

0–0NothingZero moles is zero grams.
0–2.8754Milligram weighingUnder 2875.4 mg, which is under 10 mmol of zinc sulfate heptahydrate. A three-decimal balance is the minimum here.
2.8754–575.082Gram weighingFrom 2875.4 mg up to 575.08 g: 10 mmol to 2 mol, the ordinary range for making up solutions.
575.082–—Bulk weighingMore than 575.08 g of zinc sulfate heptahydrate. Buy by the labelled pack size and weigh the remainder.

Frequently asked questions

What is the molar mass of zinc sulfate heptahydrate (ZnSO4·7H2O)?

It is 287.541 g/mol. That is the sum of the standard atomic weights of every atom in the formula: 65.38 (Zn) + 32.06 (S) + 11 × 15.999 (O) + 14 × 1.008 (H). One mole of zinc sulfate heptahydrate therefore weighs 287.541 g, and a gram of it is 3.4778 mmol.

What percentage of zinc sulfate heptahydrate is oxygen?

61.2% by mass. Each formula unit contains 11 oxygen atoms contributing 175.989 g of the 287.541 g total, so 100 g of zinc sulfate heptahydrate contains 61.2 g of oxygen and a kilogram contains 612.05 g of it.

How many grams is one mole of zinc sulfate heptahydrate?

287.541 g, by definition of the molar mass. Two moles is 575.082 g and half a mole is 143.7705 g.

How many grams is 0.1 mol, and how many milligrams is 1 mmol?

0.1 mol of zinc sulfate heptahydrate is 28.7541 g. One millimole is 287.541 mg and one micromole is 287.541 µg, which is the range most bench work sits in.

How do I weigh out an amount too small for my balance?

Weigh a larger mass and dilute it. To get 2.875 mg of zinc sulfate heptahydrate, weigh 28.75 mg into 100 mL, then take 10 mL of that: the absolute error of the balance stays the same while the amount delivered falls by a factor of ten.

Should I use the hydrate or the anhydrous molar mass?

This page is the hydrated form, ZnSO4·7H2O, at 287.541 g/mol. If your jar is the other form the molar mass differs and so will every mass you weigh, so check the label before using the figure. A hydrate carries its water into the weighing, which is why the two figures are not interchangeable.

Moles to grams reference for zinc sulfate heptahydrate

How the molar mass of zinc sulfate heptahydrate is arrived at
ElementAtomsAtomic weightContribution (g/mol)By mass
Oxygen (O)1115.999175.98961.2%
Zinc (Zn)165.3865.3822.74%
Sulfur (S)132.0632.0611.15%
Hydrogen (H)141.00814.1124.908%
Total — one mole of zinc sulfate heptahydrate287.541100%

Standard atomic weights, IUPAC 2021. The contribution column is atoms × atomic weight, and the total is the molar mass this page uses: 287.541 g/mol.

Grams of zinc sulfate heptahydrate to weigh for a given number of moles
WantedWeigh (g)Weigh (mg)With 2% over (g)
1 µmol0.0002875410.2875410.000293292
10 µmol0.002875412.875410.00293292
100 µmol0.028754128.75410.0293292
1 mmol0.287541287.5410.293292
10 mmol2.875412875.412.93292
50 mmol14.377114,377.114.6646
100 mmol28.754128,754.129.3292
250 mmol71.885271,885.273.323
500 mmol143.77143,770146.646
750 mmol215.656215,656219.969
1 mol287.541287,541293.292
2 mol575.082575,082586.584
5 mol1437.71437705.0000001466.46
10 mol2875.412875410.0000002932.92

Weigh is the amount multiplied by 287.541 g/mol. The last column carries a 2% allowance, which is what you take when some of the solid will be left in the weighing boat.

Zinc sulfate heptahydrate among other salts, by molar mass
CompoundFormulaMolar mass (g/mol)Millimoles in 1 g
Sodium thiosulfate pentahydrateNa2S2O3·5H2O248.17154.0295
Copper(II) sulfate pentahydrateCuSO4·5H2O249.6774.0052
Sodium citrateNa3C6H5O7258.06833.8749
Iron(II) sulfate heptahydrateFeSO4·7H2O278.0063.597
Zinc sulfate heptahydrate (this page)ZnSO4·7H2O287.5413.4778
Potassium dichromateK2Cr2O7294.18183.3993
Aluminium sulfateAl2(SO4)3342.13112.9229

Ordered by molar mass. The last column is 1000/M, which is the number a weighed gram actually gives you.

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