4)You count your cells and have 8x10ᶺ5 viable cells/ml you want to see (dilute the cells) to end up with 2x10ᶺ5 viable cells/ml. What volume of cells will you put into 20 ml?
To determine the volume of cells needed to achieve a desired concentration, we can use the formula:
Concentration1 x Volume1 = Concentration2 x Volume2
In this case, we have:
Concentration1 = 8x10ᶺ5 viable cells/ml
Volume1 = unknown (what we need to find)
Concentration2 = 2x10ᶺ5 viable cells/ml
Volume2 = 20 ml
Let's solve for Volume1:
(8x10ᶺ5) x Volume1 = (2x10ᶺ5) x 20
First, simplify the equation by multiplying the concentrations:
8 x Volume1 = 2 x 20
Multiply the numbers:
8 x Volume1 = 40
To find Volume1, divide both sides by 8:
Volume1 = 40 / 8
Volume1 = 5 ml
Therefore, you will need to put 5 ml of cells into the 20 ml solution to achieve a concentration of 2x10ᶺ5 viable cells/ml.