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How do I get 12 units out of a vial reconstituted to 2 mg/mL without guessing?

Asked 17 Nov 2024Modified 17 months agoViewed 10k times
8

Concretely: 12 units · 2 mg/mL.

I have done this once and I suspect I got away with it rather than got it right.

For context: I keep records of every batch, every lot number and every result, so an answer that requires me to track something is fine.

What is the correct sequence, and where is the step that people usually skip?

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RH
askedrania_haddad13k2717 Nov 2024
5Add whether the needle is fixed or detachable — the dead space differs by an order of magnitude. – e_dziedzic 5 months ago
4How many draws are you planning from the vial? That decides which diluent to use. – ilaria_bertone 4 months ago
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5 Answers

Accepted answer first, then by votes
90

Accepted answer

12 units is 0.12 mL, which at 2 mg/mL is 0.24 mg. Work it in that order and there is nothing to guess at: units to volume on the U-100 scale, volume to dose through the concentration. Draw with the barrel vertical, expel the air before you read, and read the leading edge of the plunger stopper rather than the shoulder — the difference between the two is about a unit on a 0.3 mL barrel.

Answering this needs to know whether the syringe is U-100 or U-40, since a U-40 syringe used with the U-100 conversion produces a two-and-a-half-fold error.

Barrel sizes and graduations: 0.3 mL barrels are marked in single units to 30, 0.5 mL barrels in single units to 50, and 1 mL barrels usually in two-unit increments to 100. The smallest barrel that holds the dose gives the finest reading.

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.

Worth being precise here: u-40 syringes still exist, mostly in veterinary supply. A U-40 barrel marked "20 units" holds 0.5 mL, not 0.2 mL. Using one with U-100 arithmetic overdoses by a factor of two and a half.

Published dead-space comparisons put low-dead-space fixed-needle designs under 2 microlitres and conventional detachable-needle designs at 35 microlitres or more.

Fixed needle, not detachable, unless you have a specific reason.

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TU
answered · acceptedtenth_of_a_unit57k3714 Dec 2024
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82

The relevant precision limit is that you cannot reliably read half a graduation, so the barrel decides the smallest change you can make.

A 2 mm air bubble in a 0.3 mL barrel is about 4 microlitres, which against a 10-unit (100 microlitre) draw is a four per cent error. Flick it to the hub and expel it before reading.

The conversion in full: volume in mL = dose in mg ÷ concentration in mg/mL; units = volume × 100. At 5 mg/mL, a 0.25 mg dose is 0.05 mL, which is 5 units. At the same concentration a 1 mg dose is 0.2 mL, which is 20 units.

U-100 is a concentration standard meaning 100 units of insulin per millilitre; the syringe graduation is a volume scale expressed in those units.

Nothing here is medical advice.

One unit is 0.01 mL on U-100. That is the whole scale.

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TN
answeredtabular_nums71k483 Dec 2024
40

In practice, fixed-needle syringes have far less dead space than detachable-needle ones, which matters more than any other design difference here.

Needle length for subcutaneous administration is conventionally 4 to 8 mm; the 4 mm length is sufficient for essentially all adults and reduces the chance of an intramuscular injection.

Specifically, syringes are single-use. Reusing one blunts the tip against the stopper, degrades the silicone coating and makes the graduation reading no more accurate than it was the first time.

Graduation intervals by barrel size are printed on the packaging and are the practical limit on dosing resolution.

If your arithmetic and someone else's differ by a factor of ten, one of you has misplaced a decimal rather than misunderstood the biology.

Check the syringe is U-100 and not U-40 before doing any arithmetic with it.

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GW
answeredgel_pack_warm13k2711 Mar 2025
2Minor: the filter membrane chemistry matters as much as the pore size for adsorption. – a_lindgren 5 months ago
Does this change at lower concentrations, or does adsorption start to dominate? – RP_C18 3 months ago
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31

This is arithmetic and instrumentation, and both halves are simple once stated.

Read the leading edge of the rubber plunger stopper against the graduation, not the tip of the conical shoulder. The difference is roughly one unit on a 0.3 mL barrel, which is a four per cent error on a 25-unit dose.

The 4 mm needle length is supported by injection-technique studies showing adequate subcutaneous delivery across body-mass ranges without increased intramuscular delivery.

Read the leading edge of the stopper, every time.

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TU
answeredtenth_of_a_unit57k3722 Nov 2024
26

Answer first: on a U-100 syringe one unit is 0.01 mL, so units are simply volume in millilitres multiplied by one hundred. Nothing else about the scale is doing any work.

Fixed-needle insulin syringes retain roughly 3 to 5 microlitres after the plunger bottoms out. Detachable-needle luer syringes retain 35 to 100 microlitres depending on hub design — an order of magnitude more.

Half-graduation estimation is not measurement. If the dose needs it, change the concentration instead.

Smallest barrel that holds the dose. Resolution is free and you should take it.

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DK
answeredDr_Tomas_Kral53k3817 Jan 2025

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