If 500 mg of a drug is used to prepare 80 mL of a syrup, how much of the drug in mg is contained in each teaspoonful dose?

Rationale

Each teaspoonful dose contains 31.25 mg of the drug.

To determine the amount of the drug per teaspoonful, we first find the concentration of the drug in the syrup and then calculate the dosage per teaspoon. Given that 500 mg of the drug is dissolved in 80 mL of syrup, each teaspoon (approximately 5 mL) will contain 31.25 mg of the drug.

A (6.25) YOUR ANSWER

This choice represents an incorrect calculation of the drug concentration. If we were to incorrectly divide the total drug amount by a larger volume than available, we could mistakenly arrive at this figure. However, it does not reflect the actual concentration based on the total drug and syrup volume.

B (18.75) YOUR ANSWER

This value may arise from miscalculating the concentration by using an incorrect volume for the teaspoon dose. When calculated correctly, the concentration of drug per teaspoon should be higher than this choice. Thus, it underestimates the actual drug content in a teaspoonful.

C (31.25) CORRECT

This is the correct answer. The concentration of the drug is calculated as follows: 500 mg / 80 mL = 6.25 mg/mL. Since one teaspoon is approximately 5 mL, multiplying 6.25 mg/mL by 5 mL gives 31.25 mg per teaspoonful.

D (93.75) YOUR ANSWER

This choice overestimates the drug content per teaspoonful. It could result from confusing the total drug amount with the dosage calculation. A teaspoonful should not contain more than the total amount dissolved in the syrup. Hence, this choice does not correspond to the correct concentration.

Conclusion

The calculation of drug concentration in syrup is crucial for determining accurate dosing. In this scenario, each teaspoonful dose contains 31.25 mg of the drug, accurately derived from the total drug amount and syrup volume. Understanding these calculations ensures proper medication administration and patient safety.

If 500 mg of a drug is used to prepare 80 mL of a syrup, how much of the drug in mg is contained in each teaspoonful dose?

Each teaspoonful dose contains 31.25 mg of the drug.

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