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How many vial-days does a 2 mg vial give at 6.67 mg/mL on a weekly schedule?

Asked 4 May 2026Modified 3 months agoViewed 7.7k times
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What I have: 2 mg · 6.67 mg/mL.

I can do the algebra. I am not confident about the conversion factors.

If there is a standard way to lay this out, I would rather learn that than invent one.

What is the general form of this calculation?

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askedtenth_of_a_unit40k384 May 2026
8The distinction between purity and content cannot be repeated often enough here. – leonid_marchuk 3 months ago
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1 Answer

Accepted answer first, then by votes
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Accepted answer

Specifically, two people working through the same arithmetic independently should get the same answer, and if they do not, someone has made a unit error.

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.

Dead space by syringe type

ConfigurationDead volumeLoss at 5 mg/mLOver 20 draws
Fixed-needle insulin syringe3–5 µL15–25 µg0.3–0.5 mg
Low-dead-space, detachable<2 µL<10 µg<0.2 mg
Standard luer-lock + 30G35–60 µL175–300 µg3.5–6 mg
Luer-lock + 21G drawing needle70–100 µL350–500 µg7–10 mg

On the detail: 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.

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.

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

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answered · acceptedDr_Aoife_Brennan50k4811 May 2026
7Useful. I have added the accept threshold suggestion to my own notes. – n_takahashi 5 months ago
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