Convert between molarity and mass concentration in either direction. Molecular weight is required because molar concentration counts molecules while mass concentration measures their mass.
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How to convert nM to µg/mL
µg/mL = nM × molecular weight (g/mol) ÷ 1,000,000
Multiplying nM by 10−9 mol/L and g/mol gives g/L. Converting g/L to µg/mL supplies the remaining factor of 1,000, producing the division by 1,000,000 shown above.
Example: 100 nM of a 50 kDa protein is 5 µg/mL. Use the molecular weight of the exact molecular form.
How to convert µM to ng/mL
ng/mL = µM × molecular weight (g/mol)
µM contributes 10−6 mol/L. After multiplication by g/mol, converting g/L to ng/mL contributes 106, so the numerical scale factors cancel.
Example: 2 µM of a 500 g/mol compound is 1,000 ng/mL. Use the molecular weight of the exact molecular form.
How to convert µg/mL to nM
nM = µg/mL × 1,000,000 ÷ molecular weight (g/mol)
Convert µg/mL to g/L, divide by g/mol to obtain mol/L, then scale mol/L to nM. The mass units cancel against molecular weight.
Example: 5 µg/mL of a 50 kDa protein is 100 nM. Use the molecular weight of the exact molecular form.
How to convert ng/mL to µM
µM = ng/mL ÷ molecular weight (g/mol)
ng/mL converts to 10−6 g/L. Dividing by g/mol gives mol/L, and multiplying by 106 converts that result to µM, canceling the scale factors.
Example: 1,000 ng/mL of a 500 g/mol compound is 2 µM. Use the molecular weight of the exact molecular form.
How to convert mg/mL to µM
µM = mg/mL × 1,000,000 ÷ molecular weight (g/mol)
One mg/mL is one g/L. Dividing g/L by g/mol produces mol/L, then multiplying by 1,000,000 produces µM.
Example: 1 mg/mL of a 50 kDa protein is 20 µM. Use the molecular weight of the exact molecular form.
How to convert molarity to mg/mL
mg/mL = molarity (M) × molecular weight (g/mol)
M is mol/L. Multiplication by g/mol cancels moles and gives g/L, which is numerically equivalent to mg/mL.
Example: 1 M NaCl at 58.44 g/mol is 58.44 mg/mL. Use the molecular weight of the exact salt and hydration state.
Molecular-weight assumptions and limitations
Use the molecular weight of the exact material being measured: salt or free form, hydrate or anhydrous form, conjugate or labeled form, monomer or oligomer, and full protein construct or processed chain. A nominal protein value in kDa may be rounded and is not automatically an exact molecular weight. The converter does not infer molecular identity, density, purity, or formulation.
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