If I have a 50% glycerol solution and 300uL of protein in a tube, how many uL of 50% glycerol do I need to add to form a final concentration of 10% glycerol in the tube?
To find out how many uL of 50% glycerol solution you need to add to form a final concentration of 10% glycerol in the tube, we can use a simple dilution formula:
(C1)(V1) = (C2)(V2)
Where:
C1 = initial concentration of glycerol
V1 = initial volume of glycerol
C2 = final concentration of glycerol
V2 = final volume of glycerol
In this case:
C1 = 50% (or 0.5, since percent concentration can be represented as a decimal)
V1 = volume of 50% glycerol we are trying to find
C2 = 10% (or 0.1)
V2 = total volume in the tube after adding glycerol
We know that we have 300uL of protein in the tube, but we need to find out the total volume in the tube after adding glycerol. Let's assume that we have X uL of 50% glycerol to add.
The total volume in the tube after adding glycerol will be 300uL (protein) + X uL (glycerol).
Plugging these values into the dilution formula, we get:
(0.5)(X) = (0.1)(300 + X)
Now, let's solve for X:
0.5X = 30 + 0.1X
0.5X - 0.1X = 30
0.4X = 30
X = 30 / 0.4
X = 75
Therefore, you would need to add 75uL of the 50% glycerol solution to the tube in order to achieve a final concentration of 10% glycerol.