If a prescription indicates 1 g of a drug should be diluted in 100 mL of water, what is the final 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 final concentration of the drug in mg/mL, you need to convert the mass of the drug from grams to milligrams and then calculate the concentration based on the volume of the solvent in milliliters.

Start by converting 1 gram of the drug to milligrams. Since there are 1,000 milligrams in a gram, 1 g is equal to 1,000 mg.

Next, you need to find the concentration by dividing the total amount of the drug in milligrams by the volume of the solution in milliliters. The prescription states that the drug is diluted in 100 mL of water. Therefore, the concentration is calculated as follows:

Concentration = Amount of drug (mg) / Volume of solution (mL)

Concentration = 1,000 mg / 100 mL

Concentration = 10 mg/mL

Given this calculation, the concentration is 10 mg/mL. Thus, this value aligns with the correct choice. Understanding this calculation is crucial for ensuring the accurate preparation of medications, which is a key responsibility for pharmacy technicians.

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