Accepted answer
2 ÷ 1 = 2 mg/mL. Concentration is vial content divided by diluent volume, so 2 mg of peptide in 1 mL of sterile water for injection gives 2 mg/mL. On a U-100 barrel one unit is 0.01 mL, so one unit of this solution carries 0.02 mg — 20 µg. That is the number to write on the label, because you will not reconstruct it from memory at an awkward moment.
Put another way, this is not exotic. It is just the difference between doing it deliberately and doing it approximately.
The order of operations matters: temperature first, then diluent measurement, then injection, then gentle dissolution, then labeling.
Write the arithmetic on the vial label. It costs nothing and removes the step where you reconstruct it from memory at an inconvenient moment.
The general principle — that peptides adsorb and denature at air–liquid and solid–liquid interfaces — is standard formulation science.
None of this is exotic. It is just the difference between doing it deliberately and doing it approximately.