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How many units on a 0.5 mL insulin syringe is an 8 mg dose at 20 mg/mL?

Asked 5 May 2024Modified 23 months agoViewed 23k times
27

Conditions: a 0.5 mL insulin syringe · 8 mg · 20 mg/mL.

I want the working, not the result — I need to be able to redo it with different numbers.

I care about the precision as well as the value — I want to know how many figures are real.

Is my approach right even if my number is wrong?

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TM
askedtobias_maartens171k3585 May 2024

5 Answers

Accepted answer first, then by votes
69

Accepted answer

40 units. Volume first: 8 mg ÷ 20 mg/mL = 0.4 mL. On a 0.5 mL insulin syringe one unit is 0.01 mL, so 0.4 ÷ 0.01 = 40 units. It lands on a whole graduation, which is what you want from a reconstitution volume.

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.

The underlying point is that 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.

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.

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

edited 23 Jun 2024 by u100_marks — added a caveat about sampling

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UM
answered · acceptedu100_marks52k3726 May 2024
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25

Worth being precise here: 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.

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.

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.

One qualification: if your arithmetic and someone else's disagree by a factor of ten, one of you has made a unit error, and writing out the units at every step is the diagnostic.

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

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ED
answerede_dziedzic51k1477 Jun 2024
18

The relevant detail is that rounding to the nearest whole syringe unit is usually the right error to make, but understanding which direction it is and why matters.

Room temperature before drawing is worth the ten minutes. Cold solution is more viscous, draws slower, and condensation on a cold barrel makes it harder to read the meniscus.

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.

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.

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

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LC
answeredlyoph_cake78k2671 Sept 2024
Minor: the filter membrane chemistry matters as much as the pore size for adsorption. – e_dziedzic 26 days ago
2This should be linked from the help pages. – otto_brenner 2 months ago
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16

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

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 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.

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UM
answeredu100_marks52k3710 Aug 2024
14

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.

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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TO
answeredt_oyelaran79k4815 May 2024
4The arithmetic checks out. I ran the same numbers and got the same result. – Dr_Yusuf_Adeyemi 6 months ago
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