You are given 1L of algae and its concentration is 456300 ce

You are given 1L of algae and its concentration is 456,300 cells per milliliter (cell/ml) and you need a minimum concentration of 5,000 cells/ml to start with. How many milliliters of the stock would you need to add to achieve a final concentration of 10,000 cells/ml in a final volume of 50 ml of seawater? Show all work, and units.

Solution

C₁V₁ = C₂V₂         : where

·        C₁=INITIAL CONCENTRATION= 5,000 cells/m

·        V₁ = INITIAL VOLUME =?

·        C₂ = FINAL CONCENTRATION = 10,000 cells/ml

·        V₂ = FINAL VOLUME = 50 ml

Putting the values in equation we get

(5000* V₁ )=(10000*50)

OR V₁ =10000*50/5000 = 100

THUS INITIAL VOLUME OF STOCK SOLUTION REQUIRED = 100 ml