Mass per volume is the easy part
A 5 mg vial reconstituted with 2 mL of diluent yields 2.5 mg/mL. Reconstituted with 5 mL it yields 1 mg/mL. The arithmetic is trivial; what matters is recording the exact volume added, because a nominal 2 mL delivered from a syringe is frequently 1.9 or 2.1 mL, and that is a 5% error propagating through every downstream dilution.
For work where concentration accuracy matters, reconstitute gravimetrically. Weigh the vial before and after adding diluent and calculate volume from mass, taking density as 1.0 g/mL for aqueous diluents. This removes syringe tolerance from the chain entirely.