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What is the arithmetic to convert 15 mg in 1 mL into units on a U-100 scale?

Asked 3 Nov 2025Modified 5 months agoViewed 19k times
25

For reference: 15 mg · 1 mL.

I would rather understand the derivation than memorise the outcome.

Two people I asked gave two answers that differ by a factor of ten, which is suggestive.

Can someone show the working rather than just the answer?

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FV
askedfill_volume22k383 Nov 2025

5 Answers

Accepted answer first, then by votes
28

Accepted answer

15 mg/mL, so one unit carries 0.15 mg. 15 ÷ 1 = 15 mg/mL; one unit on a U-100 barrel is 0.01 mL; 15 × 0.01 = 0.15 mg per unit. To go the other way, divide your intended dose by 0.15: a 1.5 mg dose is 10 units, and a 3 mg dose is 20. Write both the concentration and the milligrams per unit on the vial.

It helps to be literal here: this is arithmetic, so let us do the arithmetic rather than argue about it.

The concentration you actually work with is label claim times content fraction divided by actual diluent volume, which is usually not the same as the nominal concentration because content is usually not 100 per cent and you rarely measure the diluent volume to 0.1 mL precision.

Reading a lyophilised cake

AppearanceInterpretationAction
Intact opaque puck, proud of baseCycle ran correctlyProceed
Slumped to one sideShipped before fully dry, or vibrationUsually usable; note it
Glassy translucent filmCollapse above glass transitionTest before use
Melt-back ring at stopperThermal excursion in transitTest before use
No visible cake at allVery low fill, or nothing thereWeigh it; query the supplier

Dead space quantified: a fixed-needle insulin syringe holds roughly 3 to 5 µL in the hub and needle after the plunger bottoms out. A luer-lock syringe with a detachable needle holds 35 to 100 µL depending on the hub design. At 5 mg/mL that is 15 to 25 µg lost per draw on the insulin syringe and 175 to 500 µg on the luer-lock — which over ten draws is the difference between losing a rounding error and losing half a milligram.

The insulin-unit standard U-100 means 100 units per millilitre, so one unit is 0.01 mL — this is the conversion that trips up more people here than any other single piece of arithmetic.

If in doubt, use more diluent and accept the shorter usable window.

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OF
answered · acceptedorla_ferriter89k14817 Jan 2026
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11

In practice, the distinction that resolves most of these questions is understanding what concentration actually means and why it is not the same as label claim.

Worked example, because the general form is easier to trust once you have seen it once. Take a 10 mg vial and add 2 mL of diluent: the concentration is 10 ÷ 2 = 5 mg/mL. A 0.5 mg dose is 0.5 ÷ 5 = 0.1 mL. On a U-100 syringe, where 1 unit = 0.01 mL, that is 0.1 ÷ 0.01 = 10 units. Change the diluent to 1 mL and the same dose becomes 5 units — same dose, half the resolution.

Breaking it down further: if a 10 mg vial has 96.5 per cent content, you have 9.65 mg of peptide. Divide that by 2.00 mL and your concentration is 4.825 mg/mL, not 5.00 mg/mL, which is a 3.5 per cent systematic error in every dose calculation.

The caveat is that this assumes the vial contains what the label says, and if the content assay has not been done, the arithmetic is precise about an unknown quantity.

Do the arithmetic twice, ideally with someone else doing it independently.

edited 31 Jan 2026 by tabular_nums — added a caveat about sampling

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TN
answeredtabular_nums71k486 Jan 2026
7

Work in the order concentration, then volume, then units, and the arithmetic stops being confusing. Concentration is milligrams per millilitre and comes from the vial contents and the diluent volume. Volume per dose is dose divided by concentration. Units on a U-100 syringe are volume in millilitres multiplied by one hundred.

The rounding error accumulates if you round too many times — rounding concentration to 5.0, rounding the dose volume to 0.1 mL, rounding the unit reading to 10 — and the safest approach is to work the full precision and round only the final answer.

Number of stopper piercings matters less than the gauge doing the piercing. A 30G or 31G needle through a butyl stopper leaves a track that reseals; a 21G or 18G drawing needle punches a core and can drop it into the solution.

Write the arithmetic on the vial label. It costs nothing and removes the step where you reconstruct it from memory.

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TU
answeredtenth_of_a_unit57k3726 Dec 2025
6

In practice, this is one of those calculations where checking your work takes two minutes and prevents a very consequential error.

On filtration: a 0.22 µm syringe filter will remove particulates and organisms, and it will also adsorb a fraction of your peptide onto the membrane — with a low-binding PVDF or PES membrane the loss is typically a few per cent.

Write the arithmetic on the vial label. It costs nothing and it removes the step where you reconstruct it from memory at an inconvenient moment.

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SD
answeredsunniva_dahl22k2715 Dec 2025
5The arithmetic checks out. I ran the same numbers and got the same result. – kwn_analytical 44 days ago
6Minor: the filter membrane chemistry matters as much as the pore size for adsorption. – ruaidhri_o_shea 3 months ago
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4

Write the units at every step, because units errors are the failure mode that catches everyone eventually.

Rotation of injection site is a tolerability measure, not a pharmacokinetic one, but if you are going to do it you might as well do it right.

The practical summary: fine gauge, gentle swirl, diluent down the wall, room temperature before drawing, and check the syringe scale against the barrel rather than against your assumption.

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CI
answeredcake_intact17k273 Mar 2026

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