Chemistry
6 min read
•Updated 2026-09-18
How Molarity and Solution Dilution Are Calculated: Moles, Liters & C1V1 = C2V2
A practical laboratory guide for chemists and students to prepare standard reagents and serial dilutions with mathematical precision.
By AnyCalcHub Chemical Sciences Desk
Live Interactive Tool
Calculate Your Own Numbers Instantly
Run this calculation in your browser with real-time graphs and auto-save.
1. Molarity & The Dilution Equation
Molarity is the number of moles of solute dissolved per liter of solution. When diluting a stock solution, the total amount of solute remains unchanged.
Mathematical Formula
Molarity (M) = Moles of Solute / Liters of Solution Dilution: C₁ × V₁ = C₂ × V₂
Step-by-Step Worked Example
Stock Concentration (C₁)5.0 M
Target Concentration (C₂)0.5 M
Target Volume (V₂)500 mL
Step 1:Rearrange formula: V₁ = (C₂ × V₂) / C₁
Step 2:Calculate: (0.5 × 500) / 5.0 = 50 mL
Final Result: Measure 50 mL of 5.0 M stock and dilute to 500 mL total
Frequently Asked Questions
Common questions and mathematical nuances for this calculation.
What is the difference between Molarity (M) and Molality (m)?
Molarity is moles of solute per liter of total solution (which changes slightly with temperature), whereas molality is moles of solute per kilogram of pure solvent (temperature-independent).
Try the Calculator
Launch CalculatorReady to calculate your own results?
Launch Molarity Calculator with real-time sliders and instant graphs.
Related Calculation Guides
Mathematics