What is the final percentage strength of a drug if 33.35 grams of drug are dissolved in 500 mL of solution?

Rationale

The final percentage strength of the drug is 6.67%.

To find the percentage strength, the formula used is: (mass of solute / volume of solution) × 100. In this case, (33.35 g / 500 mL) × 100 = 6.67%.

A (1.77%) YOUR ANSWER

This percentage is calculated as if only a small fraction of the drug was considered, which does not reflect the correct proportion of the drug to the total solution volume. The calculation fails to represent the actual mass of drug in relation to the entire solution.

B (3.23%) YOUR ANSWER

This value may have resulted from an incorrect calculation or misunderstanding of the percentage formula. It does not accurately account for the total mass of the drug in 500 mL and underestimates the concentration based on the provided mass of 33.35 grams.

C (6.67%) CORRECT

This is the correct answer, derived from the accurate application of the percentage strength formula:(33.35 g / 500 mL) × 100, resulting in 6.67%. This correctly represents the concentration of the drug in the solution.

D (8.95%) YOUR ANSWER

This percentage likely arises from an erroneous calculation that misapplies the mass-to-volume ratio. It overestimates the drug concentration and does not align with the actual mass of drug dissolved in the specified volume of solution.

Conclusion

The percentage strength of a drug in solution is a crucial measure of concentration, calculated using the mass of the drug relative to the total volume. In this case, 33.35 grams in 500 mL yields a final concentration of 6.67%, accurately reflecting the drug's potency in the solution. Understanding this calculation is essential for proper dosage and therapeutic effectiveness in pharmacology.

What is the final percentage strength of a drug if 33.35 grams of drug are dissolved in 500 mL of solution?

The final percentage strength of the drug is 6.67%.

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