Accepted answer
It gives 20 mg/mL, and whether that is sensible depends on the dose you will draw from it. 10 ÷ 0.5 = 20 mg/mL in 0.9% sodium chloride. A 0.5 mg dose is then 2.5 units on a U-100 barrel and a 1 mg dose is 5 units. The smaller dose lands too low on the scale to read accurately — more diluent would buy resolution you cannot recover later.
Start from the dose you intend to draw and work backwards to the volume that puts it in a readable part of the barrel.
Content matters. If the same 10 mg vial assays at 94 per cent content, you have 9.4 mg. In 2 mL that is 4.7 mg/mL, and a nominal 0.5 mg draw of 10 units actually delivers 0.47 mg — a six per cent shortfall that no amount of careful drawing will fix.
Round to a diluent volume you can measure accurately. Measuring 1.00 mL on a 1 mL syringe is reliable; measuring 1.37 mL on anything is not, and the error propagates into every dose.
Nominal vial volumes in the standard 2R and 3R glass sizes have published brimful capacities well above the nominal fill, but the usable volume is bounded by the stopper displacement.
Nothing here is medical advice, and research-use material is not approved for human use.
Write the concentration on the label at reconstitution, in units per dose.