Dilution Calculator

Calculate the volume of stock solution and diluent needed to achieve a desired concentration

Input Parameters

Calculation Results

Calculation Formula

C₁V₁ = C₂V₂

Where:
C₁ = Stock Solution Concentration
V₁ = Volume of Stock Solution Needed
C₂ = Desired Final Concentration
V₂ = Final Volume

Dilution Calculator Calculator Usage Guide

Learn how to use the Dilution Calculator and its working principles

How to Use the Dilution Calculator

  1. Enter the concentration of your stock solution (C₁). This is the concentration of the original solution you have.
  2. Enter the desired concentration of your final solution (C₂). This is the concentration you want to achieve after dilution.
  3. Enter the final volume (V₂) of the solution you want to prepare.
  4. Click the "Calculate" button. The calculator will automatically determine:
    • The volume of stock solution (V₁) needed
    • The volume of diluent (V₂ - V₁) needed to reach the final volume
  5. The formula used is C₁V₁ = C₂V₂, which is the fundamental principle of dilution calculations.

Example

Suppose you have a 1.0 M (1.0 mol/L) stock solution of NaCl, and you want to prepare 100 mL of a 0.1 M NaCl solution. Using the calculator:

  • C₁ = 1.0 M
  • C₂ = 0.1 M
  • V₂ = 100 mL
  • V₁ = (0.1 M × 100 mL) / 1.0 M = 10 mL
  • Diluent = 100 mL - 10 mL = 90 mL

You would need to mix 10 mL of the 1.0 M NaCl stock solution with 90 mL of diluent (such as distilled water) to obtain 100 mL of 0.1 M NaCl solution.

Applications

This calculator is useful in various fields including:

  • Chemistry laboratories for preparing standard solutions
  • Pharmaceutical research for drug concentration adjustments
  • Biology for cell culture medium preparation
  • Environmental science for sample concentration