Solution quantities solver (n, V, c, cₘ, m, M)
n = m / M
A solver, not a converter: it does not restate one quantity in another unit, it computes several distinct quantities, mass (m), molar mass (M), amount of substance (n), volume (V), molar concentration (c), mass concentration (cₘ). Linked by the equations n = m/M, c = n/V, cₘ = m/V and c×V = c₂×V₂ (dilution). Enter the quantities you know, in the unit of your choice: the solver deduces the others, shows the relation used for each one, and flags any contradiction between two different computation paths.
Awaiting the quantities required for the calculation.
Scientific dossier
What the tool computes, what it assumes, where it stops being valid, and where its data comes from.
Method & formulasn = m / M
n = m / M
c = n / V
cₘ = m / V
c × V = c₂ × V₂
These four equations link six distinct quantities of a solution. The solver never converts a quantity into itself: from the values you know, it determines which of these relations can be applied and computes the missing quantities, displaying the formula and the provenance of each result.
- 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 domainThe solver only covers the relations of this domain (solutions): it models neither the ideal gas law nor electricity.
The solver only covers the relations of this domain (solutions): it models neither the ideal gas law nor electricity. A value entered outside its physical domain (negative mass or volume) is rejected rather than computed.
A solver, not a converterA unit converter restates the same quantity in another unit (grams into kilograms).
A unit converter restates the same quantity in another unit (grams into kilograms). This solver computes different quantities linked by an equation: giving the mass and the molar mass of a solute converts nothing: it deduces an amount of substance that did not exist in the input. That is why the displayed quantities carry distinct symbols (m, M. N, V, c, cₘ) rather than a single reformatted value.