Sodium nitrate: Moles to Grams

Convert moles of sodium nitrate to the mass to weigh out, using 84.99377 g/mol.

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Moles to grams for sodium nitrate is a multiplication by 84.993769 g/mol. A mole weighs 84.99377 g, 100 mmol weighs 8.49938 g, 10 mmol weighs 0.849938 g and a millimole is 84.9938 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 nitrate is 22.9898 (Na) + 14.007 (N) + 3 × 15.999 (O), which is 84.993769 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: 3 of the 5 atoms in a formula unit are oxygen, and they account for 47.997 g of the 84.99377 g, or 56.47% 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.

Chile saltpetre, used as a fertiliser and a heat-transfer salt. It is hygroscopic, unlike the potassium salt, which is why curing mixes prefer KNO3. At 84.99377 g/mol it is heavier than 7 of the 34 salts covered here, and that ranking matters more than it looks: sodium bicarbonate has a molar mass of 84.00577 g/mol, so a gram of it contains 1.18% more formula units than a gram of sodium nitrate. 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 1.6999 g of a nominal 84.99377 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 × 84.993769
n
The amount of sodium nitrate you need, in moles
84.993769
The molar mass of sodium nitrate 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 84.993769 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 nitrate in grams

5 mmol × 84.99377 g/mol = 0.424969 g, which is 424.969 mg. Doubling the amount doubles the mass to 0.849938 g, because the relationship is a plain proportion once the molar mass is fixed.

250 mmol of sodium nitrate in grams

250 mmol × 84.99377 g/mol = 21.2484 g, which is 21,248.4 mg. Doubling the amount doubles the mass to 42.4969 g, because the relationship is a plain proportion once the molar mass is fixed.

2 mol of sodium nitrate in grams

2 mol × 84.99377 g/mol = 169.988 g, which is 169,988 mg. Doubling the amount doubles the mass to 339.975 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.
0–0.8499Milligram weighingUnder 849.94 mg, which is under 10 mmol of sodium nitrate. A three-decimal balance is the minimum here.
0.8499–169.9875Gram weighingFrom 849.94 mg up to 169.99 g: 10 mmol to 2 mol, the ordinary range for making up solutions.
169.9875–—Bulk weighingMore than 169.99 g of sodium nitrate. Buy by the labelled pack size and weigh the remainder.

Frequently asked questions

What is the molar mass of sodium nitrate (NaNO3)?

It is 84.993769 g/mol. That is the sum of the standard atomic weights of every atom in the formula: 22.9898 (Na) + 14.007 (N) + 3 × 15.999 (O). One mole of sodium nitrate therefore weighs 84.99377 g, and a gram of it is 11.766 mmol.

What percentage of sodium nitrate is oxygen?

56.47% by mass. Each formula unit contains 3 oxygen atoms contributing 47.997 g of the 84.99377 g total, so 100 g of sodium nitrate contains 56.47 g of oxygen and a kilogram contains 564.71 g of it.

How many grams is one mole of sodium nitrate?

84.993769 g, by definition of the molar mass. Two moles is 169.9875 g and half a mole is 42.49688 g.

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

0.1 mol of sodium nitrate is 8.49938 g. One millimole is 84.9938 mg and one micromole is 84.9938 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 0.8499 mg of sodium nitrate, weigh 8.499 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, NaNO3, at 84.993769 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 nitrate

How the molar mass of sodium nitrate is arrived at
ElementAtomsAtomic weightContribution (g/mol)By mass
Oxygen (O)315.99947.99756.47%
Sodium (Na)122.9897722.9897727.05%
Nitrogen (N)114.00714.00716.48%
Total — one mole of sodium nitrate84.993769100%

Standard atomic weights, IUPAC 2021. The contribution column is atoms × atomic weight, and the total is the molar mass this page uses: 84.993769 g/mol.

Grams of sodium nitrate to weigh for a given number of moles
WantedWeigh (g)Weigh (mg)With 2% over (g)
1 µmol0.0000850.08499380.000087
10 µmol0.0008499380.8499380.000866936
100 µmol0.008499388.499380.00866936
1 mmol0.084993884.99380.0866936
10 mmol0.849938849.9380.866936
50 mmol4.249694249.694.33468
100 mmol8.499388499.388.66936
250 mmol21.248421,248.421.6734
500 mmol42.496942,496.943.3468
750 mmol63.745363,745.365.0202
1 mol84.993884,993.886.6936
2 mol169.988169,988173.387
5 mol424.969424,969433.468
10 mol849.938849,938866.936

Weigh is the amount multiplied by 84.993769 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 nitrate among other salts, by molar mass
CompoundFormulaMolar mass (g/mol)Millimoles in 1 g
Potassium chlorideKCl74.548313.414
Ammonium nitrateNH4NO380.04312.493
Sodium bicarbonateNaHCO384.0057711.904
Sodium nitrate (this page)NaNO384.9937711.766
Magnesium chlorideMgCl295.20510.504
Calcium carbonateCaCO3100.0869.9914
Potassium nitrateKNO3101.10239.891

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

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