How would you express a solution with 1 gram of drug in 50ml as a percentage?

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 express a solution as a percentage, you can use the formula:

[

\text{Percentage} = \left( \frac{\text{amount of solute}}{\text{total volume of solution}} \right) \times 100

]

In this scenario, you have 1 gram of the drug (solute) in 50 milliliters of solution. First, it’s important to convert grams to milliliters because percentage calculations usually deal with the same units.

Since 1 gram of water is approximately equal to 1 milliliter (for aqueous solutions, which is a common assumption), you can say:

1 gram = 1 mL (for this calculation)

This means you can rewrite the total volume given as:

[

1 \text{ g} \text{ = } 1 \text{ mL} \text{, and you have 50 mL of overall solution.}

]

Now, as you calculate the percentage:

[

\text{Percentage} = \left( \frac{1\text{ g}}{50\text{ mL}} \right) \times 100

]

This simplifies to:

[

\text{Percentage} = \

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