Multiply molarity by molecular weight: mg/mL = M × MW (g/mol). For example, 1 mM NaCl (MW 58.44) = 0.001 × 58.44 = 0.05844 mg/mL. For proteins, 1 mg/mL of a 150 kDa IgG equals 1/150,000 = 6.67 µM. You always need the molecular weight to convert between molar and mass concentration units.
Percent w/v (weight/volume) means grams of solute per 100 mL of solution. To convert: mg/mL = % w/v × 10. So 1% w/v = 10 mg/mL, and 0.05% Tween 20 = 0.5 mg/mL. This is the most common source of bench errors because the factor of 10 is easy to forget.
For aqueous solutions (density ≈ 1 g/mL), 1 ppm = 1 mg/L = 0.001 mg/mL. So mg/mL = ppm / 1000. For example, 500 ppm = 0.5 mg/mL. This equivalence assumes water density; for non-aqueous solvents, multiply ppm by the solution density (g/mL) and divide by 1000.
No. Conversions within mass-based units (mg/mL, µg/mL, g/L, % w/v, ppm, ppb) do not require MW. Molecular weight is only needed when converting between molar units (M, mM, µM, nM) and mass units. For example, mg/mL to % w/v is just dividing by 10, with no MW needed.
Use the dilution equation C1 × V1 = C2 × V2. Enter your stock concentration (C1), target concentration (C2), and final volume (V2). The calculator gives the stock volume needed (V1 = C2 × V2 / C1) and the diluent volume (V2 − V1). For example, to make 10 mL of 1 mM from a 100 mM stock: V1 = 1 × 10 / 100 = 0.1 mL stock + 9.9 mL diluent.
PPM (parts per million) and PPB (parts per billion) differ by a factor of 1000: 1 ppm = 1000 ppb. In aqueous solutions, 1 ppm = 1 mg/L and 1 ppb = 1 µg/L. PPM is common for media supplements, buffer additives, and water quality (e.g., 100 ppm iron). PPB is used for trace contaminants like leachables from single-use systems or residual DNA.