Question

Using a vial containing $1,000,000$ units of penicillin G sodium, how many milliliters of diluent should be added to the dry powder in preparing a solution having a concentration of 250,000 units $/ \mathrm{mL}$ ?

   Using a vial containing $1,000,000$ units of penicillin G sodium, how many milliliters of diluent should be added to the dry powder in preparing a solution having a concentration of 250,000 units $/ \mathrm{mL}$ ?
Essential Math and Calculations for Pharmacy Technicians
Essential Math and Calculations for Pharmacy Technicians
Indra K. Reddy,… 1st Edition
Chapter 11, Problem 8 ↓

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Step 1: Determine the desired concentration of the final solution, which is 250,000 units/mL.  Show more…

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Using a vial containing $1,000,000$ units of penicillin G sodium, how many milliliters of diluent should be added to the dry powder in preparing a solution having a concentration of 250,000 units $/ \mathrm{mL}$ ?
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Key Concepts

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Reconstitution of Medications
Reconstitution is the process of adding a diluent to a dry pharmaceutical powder to create a solution for administration. This process requires accurate dilution calculations to ensure the correct concentration of the active ingredient in the final solution, which is critical for safe and effective dosing in clinical practice.
Dilution Calculations
Dilution calculations involve determining the volume of solvent required to achieve a specific concentration from a known amount of solute. This requires setting up a ratio where the total quantity of the active substance divided by the final volume equals the desired concentration. It is a fundamental concept in pharmacy and chemistry for preparing solutions with precise potencies.
Concentration
Concentration refers to the amount of a substance, such as a drug, present per unit volume of solution. It is usually expressed in units like mg/mL, units/mL, or similar measures. Understanding concentration is key in determining how much diluent to add to achieve a desired potency in a reconstituted or diluted solution.

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A 5,000,000 units penicillin G potassium vial requires 23 mL of diluent be added to the dry powder to result in a 200,000 units/mL concentration. How much diluent must be added to make a final concentration of 500,000 units/mL?

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