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Solution preparation calculator (m = C × V × M)

Mass of solute needed to prepare a solution, from its molar concentration, final volume and molar mass.

Parameters

Known quantities
Molar concentration (c)
Solution volume (V)
Molar mass (M)
Solute mass (m)

Result

Awaiting the quantities required for the calculation.

Calculation, assumptions and sources

OverviewThe target molar concentration, the final volume and the molar mass of the solute give the mass to weigh out, m = C × V × M.

The target molar concentration, the final volume and the molar mass of the solute give the mass to weigh out, m = C × V × M.

Method & formulasm = C × V × M
m = C × V × M

Amount of solute n = C × V, then mass m = n × M.

C
target molar concentration.
V
final volume of solution.
M
molar mass of the solute, in g/mol.
m
mass of solute to weigh out.
Validity domainM is the molar mass of the product weighed: for a hydrated salt (e.g.

M is the molar mass of the product weighed: for a hydrated salt (e.g. CuSO₄·5H₂O), that of the hydrate, not of the anhydrous compound.

Example500 mL of 0.1 mol/L NaCl solution (M = 58.44 g/mol): m = 0.1 mol/L × 0.5 L × 58.44 g/mol = 2.922 g.

500 mL of 0.1 mol/L NaCl solution (M = 58.44 g/mol): m = 0.1 mol/L × 0.5 L × 58.44 g/mol = 2.922 g.