How many grams of drug are there in 500ml of a 0.225% solution?

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 number of grams of drug in a 500 mL solution that has a concentration of 0.225%, you first need to understand the concept of percentage in terms of grams per 100 mL. A 0.225% solution means there are 0.225 grams of the drug in every 100 mL of solution.

Now, since we have 500 mL of the solution, we need to scale this up. The relationship between the volume of the solution and the amount of drug can be established using direct proportion:

  1. Calculate how many times 100 mL goes into 500 mL:

[

500 , \text{mL} \div 100 , \text{mL} = 5

]

  1. Multiply the amount of drug in 100 mL by the number of 100 mL units in 500 mL:

[

0.225 , \text{grams} \times 5 = 1.125 , \text{grams}

]

Thus, there are 1.125 grams of drug in 500 mL of a 0.225% solution, confirming that option

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