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Dose to Volume

By vial

Twelve arrangements that actually appear on labels. Each one worked from the mass printed on the vial through to the mark on the barrel, with the bound kept on every figure.

Educational arithmetic only. Not medical advice and not a dosing protocol.

Before you act on that number

This is educational arithmetic on figures entered by the reader. It is not medical advice, not a dosing protocol, and not a recommendation that anything be prepared, obtained or administered.

Nothing here states what quantity is appropriate for anyone, and there is no function in it that produces an amount to administer. A question about anyone’s health belongs with a licensed clinician who can examine the person asking.

Compounds of the kind this arithmetic is used on are largely research chemicals that are not approved by the FDA for human use. An exact calculation is not an accurate measurement: what is actually in a syringe depends on the preparation and the device, neither of which this page can see.

Every mass against every diluent volume in this family, in mg per mL and all upper bounds. Combinations without a page of their own are shown for comparison; the twelve with pages are the arrangements that turn up on labels.
Vial1 mL2 mL2.5 mL3 mL5 mL
2 mg2.0001.0000.8000.6670.400
5 mg5.0002.5002.0001.6671.000
10 mg10.0005.0004.0003.3332.000
15 mg15.0007.5006.0005.0003.000
30 mg30.00015.00012.00010.0006.000

Why a vial page and a strength page are not the same page

The arithmetic is identical. What differs is what is known. A reader holding a labelled solution has a strength as a given, and the only uncertainty is whether the label is right. A reader who has just mixed a vial has derived the strength from a mass and a diluent volume, and that derivation has a known direction of error in it.

So the two families carry different labels on the same figures. The strength pages print volumes plainly. These pages print them as lower bounds, because they came from an upper bound. One page covering both would have to be wrong about one of them.

What is not on these pages

How many draws the vial holds. That is a different division - the vial mass by the amount, rather than the amount by the strength - and it answers a question about supply rather than about measurement. It is not on this site.

Also absent: anything about what any amount is for, any frequency, any schedule, and any compound name. The vials on these pages are described entirely by two numbers, which is all the arithmetic needs and all this site knows.