mmol, IU and per mille

mmol, IU (international units) and ratios

How to calculate with mmol, IU (international units), per mille and ratios such as 1:1000.

mmol and mol

A mole is a way of counting particles instead of weighing them.

To move between weight and moles you need the molar mass (g/mol) of the substance.

mmol = mg ÷ molar mass (g/mol)
Worked example: Sodium chloride has a molar mass of about 58.5 g/mol. 1 g = 1000 mg.

1000 ÷ 58.5 ≈ 17.1 mmol

1 mol = 1000 mmol. The molar mass is given in the question or in a reference table.

IU (international units)

IU measure biological effect, not weight.

There is no general conversion between IU and mg. The strength is stated for each product, for example IU/mL, and you use it like any other strength.

Worked example: The prescribed dose is 20 IU. The solution contains 100 IU/mL. Amount = 20 ÷ 100 = 0.2 mL.

Per mille and ratios

Concentration can be written in several ways.

NotationEqualsMeans
1 %10 mg/mL1 g per 100 mL
1 ‰ (per mille)1 mg/mL1 g per 1000 mL
1:10001 mg/mL1 g per 1000 mL
1:10,0000.1 mg/mL1 g per 10,000 mL

See also percentage solutions for calculating with percentage solutions.

Good to know: The ratio 1:1000 means 1 gram in 1000 mL, which is 1 mg/mL. The table applies to simple weight-per-volume solutions.

Frequently asked questions

How do you convert mg to mmol?+

Divide the mg by the substance's molar mass in g/mol. The answer is in mmol.

Can you convert IU to mg?+

No, not in general. IU measure biological effect, and the strength is stated for each product, for example IU/mL.

What does 1:1000 mean?+

1 gram in 1000 mL, which is 1 mg/mL.

How many mg/mL is 1 per mille?+

1 per mille is 1 mg/mL.

See all the drug calculation formulas →

Practise concentrations and units

Practise concentrations and units in practice questions and use the statistics to see how you are getting on. Dos is a practice app for drug calculations, with practice tests of ten questions, a built-in calculator next to each question and statistics per topic.