Applications and protocols

Units, concentration, and how to calculate them

Adding liquid to a vial does not change how much powder is in it. It changes how much sits in each millilitre. Everything else follows from that.

By the editors· 3 September 2026· 5 min read

Hands using a calculator and writing equations in a notebook
Every result depends on three inputs: the amount in the vial, the volume of liquid added, and the amount you are aiming for. Change one and all of it changes. Illustration: Pexels

Getting these numbers wrong is the costliest mistake in handling peptides. It is almost always a units problem, not a maths problem. This page sets out the arithmetic.

The four units you will meet

Milligram (mg). Used for solids. Peptide vials are typically labelled somewhere between 2 mg and 30 mg.

Microgram (mcg). A thousandth of a milligram. The conversion is the single most important number here:

1 mg = 1000 mcg

Millilitre (mL). Used for liquid volume, including the bacteriostatic water added to a vial.

International Unit (IU). A measure of biological activity rather than weight. It is used for a few compounds, such as growth hormone. There is a trap in it, covered below.

Concentration is amount divided by volume

One idea carries the whole page. Adding liquid to a powder does not change how much powder is there. It changes how much sits in each millilitre.

Concentration = amount ÷ volume

Work an example. A vial holds 10 mg. You add 2 mL of liquid.

10 mg ÷ 2 mL = 5 mg per mL

Every millilitre from that vial holds 5 mg. Small amounts are easier to handle in micrograms, so multiply by a thousand:

5 mg/mL = 5000 mcg/mL

Working out a volume

Once you know the concentration, finding the volume that contains a given amount is one division:

Volume = amount wanted ÷ concentration

A worked case. A 5 mg vial, made up with 2 mL of liquid, and you want 250 mcg.

Step one — concentration.

5 mg ÷ 2 mL = 2.5 mg/mL
2.5 mg/mL × 1000 = 2500 mcg/mL

Step two — volume.

250 mcg ÷ 2500 mcg/mL = 0.1 mL

So 0.1 mL of that solution holds 250 mcg. Change any one of the three inputs and the answer changes. That is why all of them must be rechecked whenever anything is altered.

Why International Units do not convert

This catches people out, and it is worth being precise about.

Milligrams measure weight. A milligram is a milligram, whatever is being weighed. An International Unit is different. It is set separately for each substance, by international agreement, based on a measured biological effect.

What follows from that: an IU of one compound has no fixed relationship to an IU of another. No general formula turns IU into mg. A conversion factor exists only for one named substance, and it has to be looked up. Treating IU like a weight unit does not give an inaccurate answer. It gives a meaningless one.

How much liquid to add

The amount of liquid is a choice, and it trades two things against each other.

Less liquid, higher concentration. What you want sits in a smaller volume, and the vial lasts longer. The cost is precision. When everything is packed into a small volume, a small measuring error is a bigger share of the target.

More liquid, lower concentration. Volumes are bigger and easier to measure, so small differences are easier to hit. The cost is that the vial empties sooner.

Most preparation lands between 1 mL and 2 mL. That keeps volumes easy to measure without wasting material.

The error that matters most

Confusing milligrams with micrograms puts you out by a factor of a thousand — in either direction.

No other mistake here comes close to that size. It is also easy to make, because the two short forms look alike and often sit in the same sentence. Before any arithmetic, write down which unit each number is in. Convert everything to one unit before you start.

Reading a syringe marked in units

Some syringes are graduated in millilitres. Others — the narrow ones sold for insulin — are marked in units, running from 0 to 100.

The relationship is fixed:

100 units = 1 mL
1 unit    = 0.01 mL

So converting a volume into units means multiplying by 100, which is a decimal point moved two places to the right:

0.1 mL  = 10 units
0.25 mL = 25 units
0.5 mL  = 50 units

There is a point of precision here that causes real confusion. On that scale, a "unit" is a volume marking, not a measure of how much substance is present. The scale was calibrated for one specific product — insulin at 100 units per millilitre — where the two happen to coincide. For anything else in the barrel, the number tells you only what fraction of a millilitre you have drawn. What that volume contains depends entirely on the concentration you calculated earlier.

Reading the mark as though it reports an amount rather than a volume is a separate error from the milligram and microgram mix-up, and it is easier to make, because the number on the barrel looks like a dose.

Checking the answer

Three checks, all quick.

Work backwards. Multiply the volume you calculated by the concentration. It should return the amount you were aiming for. If it does not, one of the conversions is wrong.

Check the size of the answer. Very small amounts should give very small volumes. A whole-millilitre answer for a target measured in micrograms means a conversion went wrong.

Recalculate after any change. A different vial size, a different volume of liquid, or a different target amount makes the old answer wrong. None of the three can be changed on its own.

Scope note

This article explains published research and the rules around it. It carries no dose, no protocol, and no claim that any compound treats, cures or prevents a condition in anyone. Where the evidence is thin we say so. See our editorial standards.

References

  1. Bureau International des Poids et Mesures. The International System of Units (SI), 9th edition.
  2. World Health Organization. WHO Expert Committee on Biological Standardization — the body that defines International Units for individual substances.
  3. United States Pharmacopeia. General Chapter <1160>, Pharmaceutical Calculations in Pharmacy Practice.