Question

A pharmacist receives a medication order for 600,000 units of penicillin G sodium to be added to one liter of D5W. A vial of penicillin G sodium containing a million units is on hand, and the directions on this vial state, "Add 5 milliliters of sterilized water for $2 \times 10^5$ units $/ \mathrm{mL}$ ". How many milliliters of the reconstituted solution must be added to the D5W to provide the desired concentration?

   A pharmacist receives a medication order for 600,000 units of penicillin G sodium to be added to one liter of D5W. A vial of penicillin G sodium containing a million units is on hand, and the directions on this vial state, "Add 5 milliliters of sterilized water for $2 \times 10^5$ units $/ \mathrm{mL}$ ". How many milliliters of the reconstituted solution must be added to the D5W to provide the desired concentration?

Essential Math and Calculations for Pharmacy Technicians

Indra K. Reddy,… 1st Edition

Chapter 11, Problem 3

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Step 1

Given that the order is for 600,000 units of penicillin G sodium, and each vial contains 1,000,000 units, we need to calculate the amount of penicillin G sodium needed from the vial. Amount needed = $\frac{600,000 \text{ units}}{1,000,000 \text{ units}} \times Show more…

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A pharmacist receives a medication order for 600,000 units of penicillin G sodium to be added to one liter of D5W. A vial of penicillin G sodium containing a million units is on hand, and the directions on this vial state, "Add 5 milliliters of sterilized water for $2 \times 10^5$ units $/ \mathrm{mL}$ ". How many milliliters of the reconstituted solution must be added to the D5W to provide the desired concentration?

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Key Concepts

Dimensional Analysis

This key concept refers to the method of using units to guide calculations, ensuring that the conversion between units (e.g., units per milliliter to total units) is correctly performed. It is essential for accurately translating between different forms of measurement in pharmaceutical calculations.

Medication Reconstitution

This concept involves the process of mixing a medication in its powdered form with a specific volume of diluent to create a solution with a defined concentration. It ensures that the medication is in an appropriate form and concentration for safe administration.

Concentration and Dilution Calculations

This requires understanding how to calculate the concentration of a medication in a solution by dividing the total units of the drug by the total volume of the diluent. It also involves determining how this concentration affects the volume needed to administer the desired dose.

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