There are so many microbes in a single mL of culture, it is very difficult to perform one dilution to produce countable cells. Microbiologists need to perform a dilution series, where multiple dilutions are performed in sequence to arrive at the correct dilution. Dilutions are cumulative. Multiply the series of dilutions together to find the final dilution value. If 6 serial dilutions are performed, each with a dilution of 0.1, what is the cumulative dilution

cumulative dilution = 0.000001

Explanation:

A serial dilution is a stepwise kind of dilution repeated a certain number of times, in which the concentration reduces exponentially each time.

The cumulative dilution is the final dilution gotten depending on the number of times dilution has been done and the dilution factor. The formula is given as:

Cumulative dilution = (F)ⁿ

where:

F = dilution factor = 0.1

n = number of serial dilutions = 6

∴ cumulative dilution = (0.1)⁶ = 0.000001

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