Sodium sulfate: Moles to Grams

Convert moles of sodium sulfate to the mass to weigh out, using 142.0355 g/mol.

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Moles to grams for sodium sulfate is a multiplication by 142.03554 g/mol. A mole weighs 142.0355 g, 100 mmol weighs 14.2036 g, 10 mmol weighs 1.42036 g and a millimole is 142.036 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. Sodium sulfate is 2 × 22.9898 (Na) + 32.06 (S) + 4 × 15.999 (O), which is 142.03554 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: 4 of the 7 atoms in a formula unit are oxygen, and they account for 63.996 g of the 142.0355 g, or 45.06% 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.

A drying agent in the laboratory and a filler in powdered detergent. The decahydrate, Glauber salt, is 322.20 g per mole. At 142.0355 g/mol it is heavier than 17 of the 34 salts covered here, and that ranking matters more than it looks: disodium phosphate has a molar mass of 141.9573 g/mol, so a gram of it contains 0.0551% more formula units than a gram of sodium sulfate. Weigh by mass and you are not weighing equal amounts of substance.

Purity is the usual gap between the calculation and the balance. A reagent sold at 98% means 2.8407 g of a nominal 142.0355 g is something else, so for exact work you divide the weighed mass by the assay figure on the certificate. For most purposes the difference is smaller than the error in reading the meniscus, but it is systematic rather than random, so it does not average out.

The formula

m = n × 142.03554
n
The amount of sodium sulfate you need, in moles
142.03554
The molar mass of sodium sulfate 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 142.03554 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 sodium sulfate in grams

5 mmol × 142.0355 g/mol = 0.710178 g, which is 710.178 mg. Doubling the amount doubles the mass to 1.42036 g, because the relationship is a plain proportion once the molar mass is fixed.

250 mmol of sodium sulfate in grams

250 mmol × 142.0355 g/mol = 35.5089 g, which is 35,508.9 mg. Doubling the amount doubles the mass to 71.0178 g, because the relationship is a plain proportion once the molar mass is fixed.

2 mol of sodium sulfate in grams

2 mol × 142.0355 g/mol = 284.071 g, which is 284,071 mg. Doubling the amount doubles the mass to 568.142 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.
0–1.4204Milligram weighingUnder 1420.4 mg, which is under 10 mmol of sodium sulfate. A three-decimal balance is the minimum here.
1.4204–284.0711Gram weighingFrom 1420.4 mg up to 284.07 g: 10 mmol to 2 mol, the ordinary range for making up solutions.
284.0711–—Bulk weighingMore than 284.07 g of sodium sulfate. Buy by the labelled pack size and weigh the remainder.

Frequently asked questions

What is the molar mass of sodium sulfate (Na2SO4)?

It is 142.03554 g/mol. That is the sum of the standard atomic weights of every atom in the formula: 2 × 22.9898 (Na) + 32.06 (S) + 4 × 15.999 (O). One mole of sodium sulfate therefore weighs 142.0355 g, and a gram of it is 7.0405 mmol.

What percentage of sodium sulfate is oxygen?

45.06% by mass. Each formula unit contains 4 oxygen atoms contributing 63.996 g of the 142.0355 g total, so 100 g of sodium sulfate contains 45.06 g of oxygen and a kilogram contains 450.56 g of it.

How many grams is one mole of sodium sulfate?

142.03554 g, by definition of the molar mass. Two moles is 284.0711 g and half a mole is 71.01777 g.

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

0.1 mol of sodium sulfate is 14.2036 g. One millimole is 142.036 mg and one micromole is 142.036 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 1.42 mg of sodium sulfate, weigh 14.2 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 anhydrous form, Na2SO4, at 142.03554 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. Salts that are sold as hydrates weigh more per mole because the water is part of the crystal.

Moles to grams reference for sodium sulfate

How the molar mass of sodium sulfate is arrived at
ElementAtomsAtomic weightContribution (g/mol)By mass
Oxygen (O)415.99963.99645.06%
Sodium (Na)222.9897745.9795432.37%
Sulfur (S)132.0632.0622.57%
Total — one mole of sodium sulfate142.03554100%

Standard atomic weights, IUPAC 2021. The contribution column is atoms × atomic weight, and the total is the molar mass this page uses: 142.03554 g/mol.

Grams of sodium sulfate to weigh for a given number of moles
WantedWeigh (g)Weigh (mg)With 2% over (g)
1 µmol0.0001420360.1420360.000144876
10 µmol0.001420361.420360.00144876
100 µmol0.014203614.20360.0144876
1 mmol0.142036142.0360.144876
10 mmol1.420361420.361.44876
50 mmol7.101787101.787.24381
100 mmol14.203614,203.614.4876
250 mmol35.508935,508.936.2191
500 mmol71.017871,017.872.4381
750 mmol106.527106,527108.657
1 mol142.036142,036144.876
2 mol284.071284,071289.752
5 mol710.178710,178724.381
10 mol1420.361420355.3856001448.76

Weigh is the amount multiplied by 142.03554 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.

Sodium sulfate among other salts, by molar mass
CompoundFormulaMolar mass (g/mol)Millimoles in 1 g
Ammonium sulfate(NH4)2SO4132.1347.5681
Monopotassium phosphateKH2PO4136.08417.3484
Disodium phosphateNa2HPO4141.95737.0444
Sodium sulfate (this page)Na2SO4142.03557.0405
Potassium permanganateKMnO4158.03236.3278
Copper(II) sulfateCuSO4159.6026.2656
Iron(III) chlorideFeCl3162.1956.1654

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

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