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What is the arithmetic to convert 20 mg in 3 mL into units on a U-100 scale?

Asked 14 Jan 2025Modified 15 months agoViewed 14k times
5

Stated plainly: 20 mg · 3 mL.

The units are where I keep going wrong, so please be explicit about them.

I have sanity-checked the order of magnitude and it seems right, which is not the same as being right.

Is my approach right even if my number is wrong?

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askedzeynep_arslan20k2814 Jan 2025

4 Answers

Accepted answer first, then by votes
77

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.

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.

Specifically, 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 Arrhenius relationship for drawing kinetics means that cold solution takes noticeably longer to draw than room-temperature solution.

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

edited 22 Jan 2025 by e_dziedzic — clarified the distinction between purity and content

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answered · acceptede_dziedzic87k24821 Jan 2025
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69

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

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.

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.

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

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answeredilaria_bertone43k3810 May 2025
36

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

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.

It helps to be literal here: 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.

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

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answeredcoldpack_8837k381 Feb 2025
29

The underlying point is that 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.

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.

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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answeredmateo_iglesias16k2712 Feb 2025
3Worth adding that the method section is where the answer usually is. – Dr_Priya_Raghunathan 8 months ago
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