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.
| Diluent | Strength, mg/mL | In 0.1 mL, mcg |
|---|---|---|
| 0.5 mL | 2.000 | 200.0 |
| 1 mL | 1.000 | 100.0 |
| 1.5 mL | 0.667 | 66.7 |
| 2 mL | 0.500 | 50.0 |
| 2.5 mL | 0.400 | 40.0 |
| 3 mL | 0.333 | 33.3 |
| 5 mL | 0.200 | 20.0 |
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.
| Amount per draw | Whole draws | Exact ratio | Left over |
|---|---|---|---|
| 25 mcg | 40 | 40.00 | nothing |
| 50 mcg | 20 | 20.00 | nothing |
| 100 mcg | 10 | 10.00 | nothing |
| 125 mcg | 8 | 8.00 | nothing |
| 200 mcg | 5 | 5.00 | nothing |
| 250 mcg | 4 | 4.00 | nothing |
| 500 mcg | 2 | 2.00 | nothing |
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
- The draws-per-vial tool
Any vial, any amount, with the remainder.
- The other seven vial strengths
Same two tables, different mass at the top.
- Displacement and the ceiling
Why the first table says "at most".