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What is the arithmetic to convert 20 mg in 2.5 mL into units on a U-100 scale?

Asked 27 Feb 2025Modified 13 months agoViewed 6.9k times
5

What I am working with: 20 mg · 2.5 mL.

I have worked this out and I would like someone to find the error, because I suspect there is one.

My working so far, for the record, is below, and I am fairly sure the error is in the unit conversion rather than the algebra.

Is my approach right even if my number is wrong?

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askedtess_amankwah48k3827 Feb 2025

4 Answers

Accepted answer first, then by votes
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Accepted answer

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.

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 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.

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

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answered · acceptedDr_Colm_Fitzhenry85k2488 Jun 2025
I tested this on two lots and got the same answer, so at least it reproduces. – rukhsana_iqbal 8 months ago
8The timing signature is the useful part. Everything else is confounded. – Dr_Priya_Raghunathan 6 months ago
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54

This is one of those calculations where checking your work takes two minutes and prevents a very consequential error.

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 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.

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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answeredpieter_maas22k1819 Jun 2025
3Note that the label instructions differ between agents on precisely this point. – k_szabo 32 days ago
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43

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

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.

Worth being precise here: 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 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.

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

edited 5 Mar 2025 by pascal_thibault — fixed an arithmetic slip in the third paragraph

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answeredpascal_thibault13k273 Mar 2025
34

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

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 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.

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

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answeredbac_or_bust37k13814 Mar 2025

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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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