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Solution quantities solver (n, V, c, cₘ, m, M)

The known solution quantities (m, M, n, V, c) give the missing ones, equation by equation.

Parameters

Known quantities
Amount of substance (n)
Solution volume (V)
Molar concentration (c)

Result

Awaiting the quantities required for the calculation.

Calculation, assumptions and sources

OverviewThe solver links mass (m), molar mass (M), amount of substance (n), volume (V), molar concentration (c) and mass concentration (cₘ) through n = m/M, c = n/V, cₘ = m/V and c×V = c₂×V₂ (dilution).

The solver links mass (m), molar mass (M), amount of substance (n), volume (V), molar concentration (c) and mass concentration (cₘ) through n = m/M, c = n/V, cₘ = m/V and c×V = c₂×V₂ (dilution). The known quantities, entered in the chosen unit, give the others, each with the relation used; a contradiction between two computation paths is flagged.

Method & formulasn = m / M
n = m / Mc = n / Vcₘ = m / Vc × V = c₂ × V₂

Four equations for six quantities of a solution.

m
mass of the weighed solute.
M
molar mass of the solute.
n
amount of substance, in moles.
V
volume of the solution.
c
molar concentration of the solution (n / V).
cₘ
mass concentration of the solution (m / V).
c₂, V₂
concentration and volume after dilution.
Validity domainOnly the relations of solutions are covered, neither the ideal gas law nor electricity.

Only the relations of solutions are covered, neither the ideal gas law nor electricity. A negative mass or volume is rejected.