The percentage strength of a solution with 30 grams of drug in 200ml is?

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 calculate the percentage strength of a solution, you use the formula:

[

\text{Percentage Strength} = \left( \frac{\text{mass of solute (grams)}}{\text{volume of solution (ml)}} \right) \times 100

]

In this case, the mass of the drug is 30 grams, and the volume of the solution is 200 ml. Plugging the values into the formula gives:

[

\text{Percentage Strength} = \left( \frac{30 \text{ grams}}{200 \text{ ml}} \right) \times 100

]

Calculating the fraction:

[

\frac{30}{200} = 0.15

]

Now, multiplying by 100 to get the percentage:

[

0.15 \times 100 = 15

]

Thus, the percentage strength of the solution is 15%. This means that for every 100 ml of solution, there are 15 grams of the drug present. Understanding this calculation is essential for pharmacists and pharmacy technicians because it helps them determine proper dosages and concentrations required for patient medications.

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