Jump to the tool
Vial Bench

Ten small calculators for prepared vials and the barrels they are drawn into, each doing one job.

The 1 mg vial

Seven diluent volumes and seven amounts, all worked out for one vial mass. In 2 mL this vial is at most 0.500 mg/mL, which puts 50.0 mcg in each tenth of a millilitre.

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

A 1 mg vial at each diluent volume. Every strength is an upper bound: the solid takes up room once it dissolves, so the finished solution is larger than the diluent and the true strength is this figure or lower.
DiluentStrength, mg/mLIn 0.1 mL, mcg
0.5 mL2.000200.0
1 mL1.000100.0
1.5 mL0.66766.7
2 mL0.50050.0
2.5 mL0.40040.0
3 mL0.33333.3
5 mL0.20020.0

What is particular to a vial this size

The smallest vial on the bench, and the one where the diluent volume matters most. A milligram spread through 5 mL is 200 mcg per millilitre, which makes a 50 mcg amount a quarter of a millilitre - a long, readable draw for a very small quantity. The same milligram in half a millilitre is ten times stronger and the same amount becomes 25 microlitres, which is two and a half units on a U-100 and close to unreadable.

Whole draws a 1 mg vial contains at seven amounts, with what the whole draws leave behind. The count is the arithmetic maximum, not a measured yield: liquid left in the needle, the hub and the vial shoulder is unrecoverable and is not in these figures.
Amount per drawWhole drawsExact ratioLeft over
25 mcg4040.00nothing
50 mcg2020.00nothing
100 mcg1010.00nothing
125 mcg88.00nothing
200 mcg55.00nothing
250 mcg44.00nothing
500 mcg22.00nothing

Reading the two tables together

The first table fixes the strength and therefore the volume of every draw. The second fixes the number of draws and ignores the volume entirely, because how many times an amount divides into a vial has nothing to do with how much liquid the vial was mixed with. A 1 mg vial holds the same number of 100 mcg draws whether it was mixed in half a millilitre or five.

What the diluent volume changes is whether each of those draws is measurable. That is the trade-off the two tables are for: pick the row in the second that gives the draw count you are working with, then pick the row in the first that makes that draw a readable length on the barrel you have.

Why every strength here is a ceiling

Strength is mass divided by the volume of the finished solution, and the finished solution is the diluent plus the room the solid itself takes up. With that displacement unmeasured, dividing by the diluent gives the highest the strength can be rather than the strength it is. Every figure in the first table is that ceiling, which is why it is labelled one.

Measuring the finished volume removes the question. The vial strength tool has a field for it and drops the ceiling label when it is filled in.

Next to this on the bench