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What is the arithmetic to convert 5 mg in 0.5 mL into units on a U-100 scale?

Asked 1 Jan 2026Modified 4 months agoViewed 8.9k times
26

Setup, so nobody has to ask: 5 mg · 0.5 mL.

The units are where I keep going wrong, so please be explicit about them.

I have sanity-checked the order of magnitude and it seems right, which is not the same as being right.

Where is my error, and what is the correct working?

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MV
askedmala_venkatesh21k281 Jan 2026

5 Answers

Accepted answer first, then by votes
11

Accepted answer

This is arithmetic, so let us do the arithmetic rather than argue about it.

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 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.

Published data on syringe dead space quantifies low-dead-space designs as retaining under 2 µL against 35 µL or more for conventional detachable-needle syringes.

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

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P9
answered · acceptedplate_count_9k95k15820 Feb 2026
7This is the answer I was looking for three months ago. – lucia_marchetti 33 days ago
8The arithmetic checks out. I ran the same numbers and got the same result. – tabular_nums 3 months ago
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9

Specifically, the answer depends on exactly which dose and which vial you are asking about, but the method is always the same.

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.

More usefully, 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.

The content assay results from major testing services show that nominal vial claim and measured content differ by one to ten per cent, making content a driver of dose error.

I would flag the obvious failure mode: people get the concentration right, get the volume right, and then read the syringe against the wrong scale.

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

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CF
answeredclaudia_ferrante46k3829 Jan 2026
5

On the detail: write the units at every step, because units errors are the failure mode that catches everyone eventually.

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.

Put another way, 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.

The limitation is that technique reduces risk, it does not remove it, and nothing you can do outside a controlled environment makes a non-sterile preparation sterile.

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

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LC
answeredlyoph_cake95k2589 Feb 2026
4

It helps to be literal here: the arithmetic only stops being confusing once you work it through once and see that it is straightforward.

Air bubbles at these volumes are a measurement problem rather than a safety one. A 2 mm bubble in a 0.3 mL syringe is roughly 4 µL, which at 10 units drawn is a four per cent error.

The Arrhenius relationship for drawing kinetics means that cold solution takes noticeably longer to draw than room-temperature solution.

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

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LS
answeredlukas_sedlacek17k273 Mar 2026
2Minor: the trial name is hyphenated in the original publication. – ines_brandt 6 months ago
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4

The common error is getting the concentration right but then misreading the syringe scale, which is why checking the barrel marking rather than your memory matters.

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.

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

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TG
answeredtandem_gradient85k24814 Apr 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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