Question 62

The final percentage strength of the drug is 6.67%.

To calculate the percentage strength of the drug, divide the mass of the drug by the total volume of the solution and then multiply by 100. In this case, \( \frac{33.35 \text{ grams}}{500 \text{ mL}} \times 100 = 6.67\% \).

A) 1.77%

This option is incorrect as it significantly underestimates the percentage strength. If 33.35 grams of drug were to yield a strength of 1.77%, the calculation would suggest a total volume that does not align with the provided 500 mL.

B) 3.23%

This option is also incorrect. A strength of 3.23% would imply that the total mass of the drug is less than what is actually present in the 500 mL solution, leading to an inaccurate representation of the concentration.

C) 6.67%

This is the correct option. The calculation confirms that when 33.35 grams of the drug are dissolved in 500 mL of solution, the resulting percentage strength is indeed 6.67%, accurately representing the concentration.

D) 8.95%

This option is incorrect as it overestimates the percentage strength. An 8.95% concentration would imply a greater mass of drug in the 500 mL solution than what has been provided, resulting in a misleading conclusion.

Conclusion

The correct answer, 6.67%, accurately reflects the concentration of the drug in the solution based on the provided mass and volume. All other options fail to represent the actual calculation, either underestimating or overestimating the percentage strength of the drug. Thus, option C is the only one that correctly aligns with the calculated value.