Pharmacy Technician Certification Board (PTCB) Math Practice Exam

Question: 1 / 400

What is the volume of liquid required to deliver 250mg of a drug in a stock solution with a concentration of 100mg/ml?

1.5ml

2.5ml

To determine the volume of liquid required to deliver 250 mg of a drug from a stock solution of concentration 100 mg/ml, the fundamental formula used is:

Volume (ml) = Amount of drug (mg) / Concentration (mg/ml)

In this case, the amount of drug required is 250 mg, and the concentration of the stock solution is 100 mg/ml. By substituting these values into the formula, the calculation would look like this:

Volume = 250 mg / 100 mg/ml = 2.5 ml

This result indicates that to achieve a dosage of 250 mg from a solution that contains 100 mg of the drug for every milliliter, exactly 2.5 ml of the stock solution is necessary. This volume precisely meets the requirement outlined in the question, confirming that 2.5 ml is indeed correct for delivering the specified amount of medication. The understanding of unit conversion and basic concentration calculations in pharmacy is essential, as it directly affects the accuracy of drug dispensing and patient safety.

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0.5ml

3.5ml

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