Question

Using the contents of $5 \mathrm{~mL}$ vial of $1-\mathrm{g}$ neomycin sulfate and sterile saline solution as a diluent, how would you obtain the neomycin sulfate required for the following prescription? $$ \begin{aligned} & \text { R. } \\ & \text { Neomycin sulfate } \quad 400 \mathrm{mg} \\ & \text { Sodium chloride ad } \quad 20 \mathrm{~mL} \\ & \text { Sig. Use as topical disinfectant. } \end{aligned} $$

    Using the contents of $5 \mathrm{~mL}$ vial of $1-\mathrm{g}$ neomycin sulfate and sterile saline solution as a diluent, how would you obtain the neomycin sulfate required for the following prescription?
$$
\begin{aligned}
& \text { R. } \\
& \text { Neomycin sulfate } \quad 400 \mathrm{mg} \\
& \text { Sodium chloride ad } \quad 20 \mathrm{~mL} \\
& \text { Sig. Use as topical disinfectant. }
\end{aligned}
$$
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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 21 ↓

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Step 1

Given that the concentration of neomycin sulfate in the vial is 1 g in 5 mL, we can calculate the concentration as follows: $$ \text{Concentration of neomycin sulfate} = \frac{1 \text{ g}}{5 \text{ mL}} = 0.2 \text{ g/mL} $$ To obtain 400 mg of neomycin sulfate,  Show more…

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Using the contents of $5 \mathrm{~mL}$ vial of $1-\mathrm{g}$ neomycin sulfate and sterile saline solution as a diluent, how would you obtain the neomycin sulfate required for the following prescription? $$ \begin{aligned} & \text { R. } \\ & \text { Neomycin sulfate } \quad 400 \mathrm{mg} \\ & \text { Sodium chloride ad } \quad 20 \mathrm{~mL} \\ & \text { Sig. Use as topical disinfectant. } \end{aligned} $$
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Key Concepts

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Solution Concentration
This concept involves determining the concentration of the active ingredient in the original solution by dividing the total amount of the drug by the volume of solution in which it is dissolved. Understanding solution concentration is crucial for making accurate calculations when preparing doses from a stock solution.
Volume Calculation
This concept focuses on determining the correct volume of the stock solution needed to obtain a specific dose of the drug. It involves dividing the desired dose by the concentration of the drug in the solution, ensuring that the compounding process yields the accurate amount required for the prescription.
Dilution Technique
Dilution is the process of reducing the drug concentration by adding a diluent, such as sterile saline, to reach a desired volume. This concept is fundamental in pharmaceutical compounding as it ensures the final preparation has both the correct concentration and total prescribed volume.
Unit Conversion
Accurate calculations in pharmacy often require converting units (for example, from grams to milligrams or milliliters), which is essential for ensuring that the correct amount of drug is used in the preparation. Mastery of unit conversions helps prevent dosing errors and ensures patient safety.

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