Formula
Stock and diluted solution hold the same amount of solute:
C1 × V1 = C2 × V2
Concentrations stay in moles per liter. Volumes must share one unit, liters or milliliters. Molarity from a known amount of moles is the other chemistry page.
Assumptions
- You add solvent, not more solute.
- The two volumes use the same unit.
- The concentrations are amount concentrations, not mass percent.
Worked example
12 mol/L stock diluted to 3 mol/L in 1 L needs 0.25 L of stock.
Input definitions
- Stock
- The stronger solution you measure from.
- Diluted
- The weaker solution you want after adding solvent.
- Solve for
- The value this page calculates. The number in that field is ignored.
Limitations
Real volumes are not always perfectly additive, and this is not a mixing or safety procedure. Check the chemical's own instructions before preparing a solution.
Questions
Which volume do I solve for?
Stock volume is how much strong solution to measure. Diluted volume is how much weak solution that amount will make.
Can the concentrations use different units?
No. Enter both in mol/L. Convert a percent or a mass concentration before using this page.