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Vial Bench

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

The U-100, 1 mL barrel

100 units to the millilitre, 100 units of capacity, marked every 1 unit. Everything below is computed from those three figures.

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

The three numbers every other figure on this page comes from. All three are printed on the barrel itself, so none of them is a claim this page is making.
PropertyValue
Units to the millilitre100
Capacity1 mL, which is 100 units
Smallest printed mark1 unit, which is 10.0 microlitres
Half a mark5.0 microlitres

What is particular to this barrel

This is the default assumption almost every calculator on the open web makes without saying so, and it is the one barrel where that assumption is harmless, because it is the one being assumed. A hundred units to the millilitre, marked every single unit, a full millilitre of capacity: the most forgiving of the five, and the reason the other four are dangerous. A tool that silently assumes this barrel is right often enough that nobody checks.

With a hundred marks over a millilitre, every tenth of a millilitre is ten clear graduations, which is why so much of this arithmetic is discussed in tenths.

Every row is computed from this barrel's own calibration of 100 units to the millilitre. The last column is half a graduation as a share of that draw, which is the smallest reading error the barrel can have at that point on its scale.
Reading, unitsVolume, mLVolume, microlitresHalf a mark, as % of the draw
5.00.0505010.00%
10.00.1001005.00%
20.00.2002002.50%
30.00.3003001.67%
40.00.4004001.25%
50.00.5005001.00%
70.00.7007000.71%
80.00.8008000.63%
90.00.9009000.56%
100.01.00010000.50%

Where the reading error stops being ignorable

Half a graduation on this barrel is 5.0 microlitres, and that figure does not change with the size of the draw. As a share of the draw it therefore grows as the draw shrinks: at 2 units it is 25.0%, and it keeps climbing from there.

Below two graduations every tool on this bench flags the reading rather than printing it plainly, because at that point the uncertainty in the measurement is a large fraction of what is being measured and the precision of the arithmetic has stopped meaning anything. The fix is not a better calculation. It is more liquid, which is what thinning a solution is for.

The same printed number read on all five barrels. U-100, 1 mL is one column of this table, and the spread across the row is the reason no tool here defaults the barrel for you.
Printed readingU-100, 1 mLU-100, 0.5 mLU-100, 0.3 mLU-50, 0.5 mLU-40, 1 mL
5 units0.050 mL0.050 mL0.050 mL0.100 mL0.125 mL
10 units0.100 mL0.100 mL0.100 mL0.200 mL0.250 mL
20 units0.200 mL0.200 mL0.200 mL0.400 mL0.500 mL
30 units0.300 mL0.300 mL0.300 mLpast the barrel0.750 mL
40 units0.400 mL0.400 mLpast the barrelpast the barrel1.000 mL
50 units0.500 mL0.500 mLpast the barrelpast the barrelpast the barrel

What this page is not saying

Everything here is a property of a manufactured object: how it is marked, how much it holds, and what follows arithmetically from those two facts. Nothing on this page says which barrel anybody should use, what should go in it, or what any reading on it should be. A calibration is a measuring scale, and a measuring scale has no opinion about what is measured with it.

Next to this on the bench