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How many units on a 1 mL luer-lock syringe is a 2 mg dose at 20 mg/mL?

Asked 26 Jun 2025Modified 9 months agoViewed 10k times
This question was closed as primarily opinion-based.Closed 22 Jul 2025. Answers already posted are preserved; new answers are not accepted. Questions here need a factual basis on which they can be answered.
10

Details up front: a 1 mL luer-lock syringe · 2 mg · 20 mg/mL.

I can do the algebra. I am not confident about the conversion factors.

If there is a standard way to lay this out, I would rather learn that than invent one.

Can someone walk through the arithmetic step by step?

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NO
askednkem_obiora39k3826 Jun 2025
2Is this U-100 or U-40? It changes the arithmetic by a factor of two and a half. – Dr_Nadia_Farsi 2 months ago
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5 Answers

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52

10 units. Volume first: 2 mg ÷ 20 mg/mL = 0.1 mL. On a 1 mL luer-lock syringe one unit is 0.01 mL, so 0.1 ÷ 0.01 = 10 units. It lands on a whole graduation, which is what you want from a reconstitution volume.

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

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.

Concentration and unit conversion at a glance

VialDiluentConcentration0.25 mg0.5 mg1 mg2.5 mg
5 mg1 mL5 mg/mL5 u10 u20 u50 u
5 mg2 mL2.5 mg/mL10 u20 u40 u100 u
10 mg1 mL10 mg/mL2.5 u5 u10 u25 u
10 mg2 mL5 mg/mL5 u10 u20 u50 u
10 mg3 mL3.33 mg/mL7.5 u15 u30 u75 u

Units are U-100 insulin units, where 1 unit = 0.01 mL. Divide dose by concentration for millilitres, then multiply by 100.

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 Arrhenius relationship for drawing kinetics means that cold solution takes noticeably longer to draw than room-temperature 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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IB
answeredines_brandt113k2578 Oct 2025
3Would this be different for a peptide that foams? Mine does and I have never known why. – e_dziedzic 2 months ago
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36

On the detail: 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.

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.

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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EV
answeredesther_vandeVelde52k2726 Sept 2025
7Thank you — the worked example is what makes this usable. – Dr_Yusuf_Adeyemi 5 months ago
8Small correction: the units in the third paragraph should be micrograms, not milligrams. – Dr_Sara_Kuusela 7 months ago
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28

The single most useful thing to do is write the arithmetic on the vial label, because you will reconstruct it from memory at an inconvenient moment if you do not.

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.

Do not use the same needle to pierce the stopper and to administer. The tip is blunted by the stopper, and the hub now contains a dose you are about to lose to dead space anyway.

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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TO
answeredt_oyelaran79k482 Jul 2025
23

Dose arithmetic has three parts: concentration from vial content and diluent, volume from dose and concentration, and units from volume and syringe scale.

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.

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.

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.

edited 7 Nov 2025 by lyoph_cake — added the method parameters

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LC
answeredlyoph_cake78k26719 Oct 2025
Reading the leading edge of the stopper rather than the shoulder is worth a sentence of its own. – a_lindgren 2 months ago
2Thank you — this is the answer I was looking for. – Dr_Priya_Raghunathan 4 months ago
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16

Two people working through the same arithmetic independently should get the same answer, and if they do not, someone has made a unit error.

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 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.

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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TU
answeredtenth_of_a_unit57k3724 Jul 2025
4I have added the label-the-vial suggestion to my own notes. Obvious in hindsight. – aine_mulcahy 6 months ago
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