68. 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?
Answer: C
Each teaspoonful dose contains 31.25 mg of the drug.
To determine the amount of drug in each teaspoonful dose, we first need to calculate the concentration of the drug in the syrup. Given that 500 mg of the drug is dissolved in 80 mL of syrup, we can find the amount in a standard teaspoonful, which is approximately 5 mL.
A) 6.25
This option represents a miscalculation of the drug concentration in the syrup. To arrive at this figure, one would need to incorrectly assume a different volume or concentration than what is provided in the question, leading to an underestimation of the drug per teaspoonful.
B) 18.75
This choice suggests a concentration that is too low when considering the total drug amount and the volume of syrup. The calculation needed to derive this number does not align with the correct dilution of the drug in the syrup, resulting in an incorrect amount per teaspoonful.
C) 31.25
This option accurately represents the amount of drug in each teaspoonful dose. By calculating the concentration (500 mg / 80 mL = 6.25 mg/mL) and multiplying by the volume of a teaspoon (5 mL), we find that each teaspoon contains 31.25 mg of the drug, making this the correct answer.
D) 93.75
This option indicates an amount much too high for a single teaspoonful dose. It suggests a misunderstanding of the ratio of drug to syrup volume, likely miscalculating the volume or the concentration, which leads to an inflated figure.
Conclusion
The correct answer, 31.25 mg, is derived from the proper calculation of drug concentration per unit volume of syrup. The other options fail due to either miscalculations or incorrect assumptions about the volume or concentration, reinforcing the importance of accurate arithmetic in determining dosage.