Question

A pharmacist receives a medication order to prepare different concentrations of penicillin $\mathrm{G}$ potassium to be added to $1000 \mathrm{~mL}$ of D5W, using stock vials of $1,000,000$ units of penicillin G sodium. The instructions on the vials of penicillin G potassium stated, "Add 4.6 milliliters of sterilized water for a concentration of $2.5 \times 10^5$ units $/ \mathrm{mL}$." How many milliliters of the reconstituted solution must be added to the D5W to provide the following units of penicillin G sodium in the final preparation? a. $2 \times 10^5$ units b. $4 \times 10^5$ units c. $5 \times 10^5$ units d. $6 \times 10^5$ units e. $2 \times 10^6$ units f. $1 \times 10^6$ units

   A pharmacist receives a medication order to prepare different concentrations of penicillin $\mathrm{G}$ potassium to be added to $1000 \mathrm{~mL}$ of D5W, using stock vials of $1,000,000$ units of penicillin G sodium. The instructions on the vials of penicillin G potassium stated, "Add 4.6 milliliters of sterilized water for a concentration of $2.5 \times 10^5$ units $/ \mathrm{mL}$." How many milliliters of the reconstituted solution must be added to the D5W to provide the following units of penicillin G sodium in the final preparation?
a. $2 \times 10^5$ units
b. $4 \times 10^5$ units
c. $5 \times 10^5$ units
d. $6 \times 10^5$ units
e. $2 \times 10^6$ units
f. $1 \times 10^6$ units
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Essential Math and Calculations for Pharmacy Technicians
Essential Math and Calculations for Pharmacy Technicians
Indra K. Reddy,… 1st Edition
Chapter 11, Problem 4 ↓

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5 \times 10^5$ units/mL. Given that 4.6 mL of water is added to 1,000,000 units of penicillin G sodium to achieve a concentration of $2.5 \times 10^5$ units/mL, the total volume of the reconstituted solution is 4.6 mL.  Show more…

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A pharmacist receives a medication order to prepare different concentrations of penicillin $\mathrm{G}$ potassium to be added to $1000 \mathrm{~mL}$ of D5W, using stock vials of $1,000,000$ units of penicillin G sodium. The instructions on the vials of penicillin G potassium stated, "Add 4.6 milliliters of sterilized water for a concentration of $2.5 \times 10^5$ units $/ \mathrm{mL}$." How many milliliters of the reconstituted solution must be added to the D5W to provide the following units of penicillin G sodium in the final preparation? a. $2 \times 10^5$ units b. $4 \times 10^5$ units c. $5 \times 10^5$ units d. $6 \times 10^5$ units e. $2 \times 10^6$ units f. $1 \times 10^6$ units
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Key Concepts

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Drug Reconstitution
Drug reconstitution is the process of converting a powdered drug formulation into a liquid solution by adding a specific volume of solvent. This ensures that the medication attains a uniform and predetermined concentration, which is critical for safe and effective dosing.
Concentration Calculation
Concentration calculation involves determining the amount of active substance per unit volume of solution. This key concept allows pharmacists to know how many units or milligrams of a drug exist in each milliliter of solution, forming the basis for accurate dosage extraction.
Pharmaceutical Dilution Principles
Dilution principles address the method of reducing the drug's concentration by adding solvent to a reconstituted solution. Understanding dilution is essential for adjusting doses appropriately when transferring a specific amount of medication into larger volumes for final administration.
Proportional Reasoning in Dose Calculation
Proportional reasoning in dose calculation involves using the established concentration of a solution to calculate the exact volume needed to achieve a desired drug dose. This concept relies on setting up a proportion between the known concentration and the target dose, which is fundamental in pharmacy calculations.

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Rx: A physician orders penicillin G 325,000 units IM q8h x5 d for infection for a child. Medication needs to be reconstituted before administration: Diluent | Final Concentration 9.6mL | 100,000 units/ml 4.6mL | 200,000 units/ml 1.6mL | 500,000 units/ml a) What is the appropriate final concentration to prepare, from a multidose vial with the above choices of diluent - to keep the dose volume under 1mL? b) What volume of diluent is needed to meet the requirement for this dose? c) After reconstitution, what volume of medication is needed per dose? FOR Part B & C: ***Follow rounding rules, units of measurement do not need to be in your answer** d) Interpret the prescription order, as you would be instructing the nurse how to administer the medication. Include all components necessary.

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