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How many vial-days does a 20 mg vial give at 2 mg/mL on a weekly schedule?

Asked 3 Jun 2025Modified 12 months agoViewed 15k times
34

Stated plainly: 20 mg · 2 mg/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.

Where is my error, and what is the correct working?

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askedhana_petrikova19k283 Jun 2025

5 Answers

Accepted answer first, then by votes
51

Accepted answer

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.

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 underlying point is that 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.

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.

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

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answered · accepteds_kalniete47k3822 Jun 2025
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44

The underlying point is that the answer depends on exactly which dose and which vial you are asking about, but the method is always the same.

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.

More usefully, 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.

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.

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.

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

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answeredh_pergande86k25811 Jun 2025
5I would add a sentence about sterility here, since it is the thing people skip. – Dr_Tomas_Kral 3 months ago
4The placebo-arm figure is the part everyone omits. – forty_two_c 28 days ago
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24

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

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.

It helps to be literal here: rotation of injection site is a tolerability measure, not a pharmacokinetic one, but if you are going to do it you might as well do it right.

The caveat is that this assumes the vial contains what the label says, and if the content assay has not been done, the arithmetic is precise about an unknown quantity.

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

edited 1 Aug 2025 by noor_alhassan — added a caveat about sampling

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answerednoor_alhassan15k283 Jul 2025
19

Specifically, the distinction that resolves most of these questions is understanding what concentration actually means and why it is not the same as label claim.

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

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

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answeredlipid_panel_q44k13814 Jul 2025
Adding for future readers: the certificate should carry the lot number, not just a batch code. – eoin_mcgarry 4 months ago
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13

To be exact about it, this is one of those calculations where checking your work takes two minutes and prevents a very consequential error.

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.

The insulin-unit standard U-100 means 100 units per millilitre, so one unit is 0.01 mL — this is the conversion that trips up more people here than any other single piece of arithmetic.

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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answeredm_haraldsen38k3826 Jul 2025
4This matches what I was told by a laboratory, for whatever that is worth. – gradient_slope 7 months ago
5Minor: the trial name is hyphenated in the original publication. – anja_hellstrom 8 months ago
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