MathBench > Population Dynamics

Serial Dilution

The dilution factor

When you're thinking about dilution, it helps to simplify your actions into dilution factors. For example, if you

  1. 1 mL coffee + 4 mL water =
  2. 1 mL coffee + 9mL water =
  3. 1 mL + 99mL water =

As you've probably guessed, this works exactly the same whether you're talking about caffeine or meningicocci. Here's what a dilution factor of 0.01 looks like on the lab bench:

1:100 dilution

Notice that it really doesn't matter how much of the original stock you started with, as long as you had at least a mL to put into the new container. What matters is how much you transfer and how much water you add. The dilution factor is then defined as

amount transferred / total amount =

amount transferred / (amount transferred + amount water added) =

1 / (1+99) = 1/100 = 0.01.