### The dilution calculator equation

The tech-publish dilution calculator is based on the following equation:

**Concentration**_{(Initial)} x Volume_{(Initial)} = Concentration_{(final)} x Volume_{(final)}

The standard abbreviation for this equation is: **C**_{1}V_{1} = C_{2}V_{2}

### An example of a dilution calculation using the dilution calculator

What volume of a given 20 mM stock solution is required to make 40ml of a 100 μM solution?

Using the equation C_{1}V_{1} = C_{2}V_{2}, where C_{1}=20 mM, C_{2}=100 μM, V_{2}=40 ml and V_{1} is the unknown:

- Enter 20 into the Concentration (Initial) box and select the correct unit (millimolar)
- Enter 100 into the Concentration (final) box and select the correct unit (micromolar)
- Enter 400 into the Volume (final) box and select the correct unit (milliliter)
- Press calculate
- The answer of 200 microliter (0.2 ml) appears in the Volume (Initial) box