Dilution Formula Calculator
Calculate concentrations and volumes using C₁V₁ = C₂V₂.
Enter Known Values (Leave Unknown Blank)
Result
What is the Dilution Formula?
The Dilution Formula (C₁V₁ = C₂V₂) is used to calculate concentrations and volumes when diluting solutions by adding solvent.
It's based on the principle that the amount of solute remains constant during dilution, only the concentration changes as volume increases.
To calculate moles from grams for your initial solution, use our Mole & Molar Mass Calculator.
To find pH of diluted acids or bases, check out our pH & pOH Calculator.
Formula
C₁V₁ = C₂V₂
- C₁: Initial Concentration
- V₁: Initial Volume
- C₂: Final Concentration
- V₂: Final Volume
Key Concepts
- • Conservation of Solute: Moles of solute stay constant during dilution.
- • Concentration Decreases: Adding solvent lowers concentration proportionally.
- • Unit Consistency: All concentrations and volumes must use matching units.
How to Use This Calculator
Enter 3 Values
Input any 3 known values.
Leave One Blank
The calculator finds the missing value.
Get Result
View the calculated unknown value.
Benefits of Using This Calculator
- • Lab Efficiency: Quickly prepare solutions at desired concentrations.
- • Error Prevention: Avoid calculation mistakes in critical experiments.
- • Flexible Input: Solve for any unknown variable from three knowns.
Factors Affecting Results
- • Unit Consistency: Must use same units for volumes and concentrations.
- • Temperature: Volume changes with temperature may affect accuracy.
- • Measurement Precision: Accurate measurements ensure reliable results.
Frequently Asked Questions (FAQ)
Q: What is the dilution formula?
A: The dilution formula is C₁V₁ = C₂V₂, where C₁ is the initial concentration, V₁ is the initial volume, C₂ is the final concentration, and V₂ is the final volume.
Q: What units can I use?
A: You can use any units for concentration (e.g., M, %, mg/L) and volume (e.g., L, mL), as long as they are consistent on both sides of the equation.
Q: How do I find the amount of solvent to add?
A: The amount of solvent to add is the difference between the final volume (V₂) and the initial volume (V₁). Solvent Added = V₂ - V₁.