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How do I get 20 units out of a vial reconstituted to 3.33 mg/mL without guessing?

Asked 3 Apr 2024Modified 2.0 years agoViewed 50k times
38

Concretely: 20 units · 3.33 mg/mL.

I am trying to do this correctly the first time rather than learn it by getting it wrong.

I have already made one mistake here that cost me a vial, so I am being deliberately careful.

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

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askedivo_paunovic16k273 Apr 2024

5 Answers

Accepted answer first, then by votes
13

Accepted answer

20 units is 0.2 mL, which at 3.33 mg/mL is 0.666 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.

Start with the barrel size, because a 0.3 mL barrel graduated in single units and a 1 mL barrel graduated in twos are different instruments for this purpose.

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.

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.

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

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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TN
answered · acceptedtabular_nums71k4824 Apr 2024
7Same experience here, different supplier. – Dr_Priya_Raghunathan 5 months ago
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11

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.

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.

To be exact about it, 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.

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.

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

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GW
answeredgel_pack_warm13k2713 Apr 2024
7Small correction: the units in the third paragraph should be micrograms, not milligrams. – s_kalniete 5 months ago
6Thank you — this is the answer I was looking for. – h_pergande 4 months ago
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6

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.

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.

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.

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.

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

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TU
answeredtenth_of_a_unit57k3727 Jun 2024
Thank you — the worked example is what makes this usable. – Dr_Elias_Weiss 7 months ago
2Adding that a fixed-needle syringe loses about a tenth of what a luer one does. – Dr_Bram_Verhoeven 8 months ago
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3

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

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.

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

Read the leading edge of the stopper, every time.

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OF
answeredorla_ferriter89k14820 Jul 2024
2

The honest answer is that most dosing errors in this tag are reading errors rather than calculation errors.

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.

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

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

edited 14 Aug 2024 by orla_ferriter — clarified the distinction between purity and content

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OF
answeredorla_ferriter89k14831 Jul 2024

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