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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_volume13k183 Nov 2025

5 Answers

Accepted answer first, then by votes
28

Accepted answer

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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DF
answered · acceptedDr_Colm_Fitzhenry85k24817 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 t_oyelaran — added a caveat about sampling

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TO
answeredt_oyelaran41k386 Jan 2026
7

Put another way, 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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AB
answeredassay_blank39k3826 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.

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

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SD
answeredsunniva_dahl11k2815 Dec 2025
5Confirming from the other direction: I did the wrong thing and got exactly the predicted outcome. – kwn_analytical 44 days ago
6Is there a reason to prefer the second method over the first, other than cost? – ruaidhri_o_shea 3 months ago
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4

Put another way, 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.

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

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CI
answeredcake_intact18k283 Mar 2026

Your answer

Ask PeptideStack is a static archive. Posting is closed, but the norms are worth stating: answer the question that was asked, show your working, cite the trial or the certificate, and say plainly where the evidence runs out.

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