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Dilution Calculator

Calculate the volume or concentration needed for solution dilution easily using the M₁V₁ = M₂V₂ formula. This tool is very useful for chemistry lab work, laboratory preparations, and making standard solutions.

Dilution Formula

M₁ · V₁ = M₂ · V₂

Variables:

  • M₁Initial Solution Concentration (Molarity)
    Initial Solution Concentration (Molarity)
  • V₁Volume of Stock Solution Taken
    Volume of Stock Solution Taken
  • M₂Final Solution Concentration (Target)
    Final Solution Concentration (Target)
  • V₂Final Solution Volume (Total)
    Final Solution Volume (Total)

How to Use the KalkuLab Dilution Calculator

  1. 1

    Choose the Unknown Variable

    Select the variable you want to find (e.g., V₁ — how much concentrated solution to take).

  2. 2

    Enter Known Values

    Enter values for the three known variables (M₁, M₂, V₂).

  3. 3

    Calculate

    The calculator computes the fourth variable automatically using M₁V₁ = M₂V₂.

Examples

Making 0.1 M NaCl from 1 M Stock

Problem:

How many mL of 1 M NaCl are needed to make 100 mL of 0.1 M NaCl?

Solution:
  1. 1.Known: M₁ = 1 M, M₂ = 0.1 M, V₂ = 100 mL
  2. 2.Formula: V₁ = (M₂ · V₂) / M₁
  3. 3.Calculate: V₁ = (0.1 · 100) / 1
  4. 4.Result: V₁ = 10 mL
Result:10 mL

Take 10 mL of 1 M NaCl, then add solvent until the total volume reaches 100 mL.

Frequently Asked Questions

What is dilution?
Dilution is the process of lowering the concentration of a solute in a solution, usually by adding more solvent (such as water).
Does M₁V₁ = M₂V₂ only work for molarity?
The formula generally works for any concentration units as long as units are consistent on both sides (e.g., N₁V₁ = N₂V₂ for normality, or mass percent).

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References