For a solution containing 1000mg of a drug in 500mL, what is the concentration in mg/mL?

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 the concentration of a solution, you divide the amount of the drug by the volume of the solution. In this case, you have 1000 mg of the drug in a total volume of 500 mL.

Calculating the concentration involves the following steps:

  1. Take the total amount of the drug: 1000 mg.

  2. Divide that by the total volume of the solution: 500 mL.

So, the calculation is:

1000 mg ÷ 500 mL = 2 mg/mL.

This result indicates that there are 2 milligrams of the drug present for every milliliter of solution. Thus, the concentration of the solution is correctly identified as 2 mg/mL. Understanding this simple formula for concentration can be very helpful in pharmacy practice, where precise measurements are critical for ensuring safe and effective medication administration.

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