How many ml of a 5% solution are needed to prepare 4 liters of a 10% solution, if the volume of the 50% solution is known?

Study for the Pharmacy Technician Certification Board Math Exam. Prepare with flashcards and multiple choice questions, each question includes hints and explanations. Excel in your exam!

To determine how many milliliters of a 5% solution are required to create 4 liters (or 4000 ml) of a 10% solution, a method based on the concept of dilution can be used.

First, it's essential to find the total amount of the active ingredient in the final solution. A 10% solution means that in 4000 ml of the solution, 10% of that will be the active ingredient.

Calculating the active ingredient:

  • 10% of 4000 ml is equal to 0.10 x 4000 = 400 ml of the active ingredient.

Next, let’s denote the volume of the 5% solution that we need as X ml. This 5% solution contains 5% of that volume as the active ingredient, which can be expressed as 0.05X ml.

Since the total amount of the active ingredient in the final solution (400 ml) must be equal to the amount present in the 5% solution:

  • 0.05X = 400 ml.

To solve for X:

X = 400 ml / 0.05

X = 8000 ml.

However, since the question implies that we also

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy