How many milliliters of a 2000.0 mg/dl stock solution are needed to prepare 100.0 ml of a 150.0 mg/dl working solution?
Use the "dilution formula":
V1C1 = V2C2
V1, C1 = initial volume and concentration
V2, C2 = final volume and concentration
Your unknown is V1. Substitute the other which are given and solve for V1.
Use the "dilution formula":
V1C1 = V2C2
V1, C1 = initial volume and concentration
V2, C2 = final volume and concentration
Your unknown is V1. Substitute the other which are given and solve for V1.
To determine how many milliliters of a 2000.0 mg/dl stock solution are needed to prepare 100.0 ml of a 150.0 mg/dl working solution, you can use the formula for dilution:
C1V1 = C2V2,
where:
C1 = concentration of the stock solution
V1 = volume of the stock solution
C2 = concentration of the working solution
V2 = volume of the working solution
In this case, the concentration of the stock solution (C1) is 2000.0 mg/dl, the concentration of the working solution (C2) is 150.0 mg/dl, and the volume of the working solution (V2) is 100.0 ml.
Rearranging the formula to solve for V1:
V1 = (C2 * V2) / C1,
Substituting the given values:
V1 = (150.0 mg/dl * 100.0 ml) / 2000.0 mg/dl.
Now, we can calculate:
V1 = (15000.0 mg.ml) / 2000.0 mg/dl.
To simplify the units, we cancel out "mg" on the numerator and denominator:
V1 = 15 ml.
Therefore, you would need to measure 15.0 milliliters of the 2000.0 mg/dl stock solution to prepare 100.0 ml of a 150.0 mg/dl working solution.