Question

The information on the leaflets enclosed with a vial containing $5,000,000$ units of penicillin $\mathrm{G}$ sodium states that when $23 \mathrm{~mL}$ saline diluent are added to the dry powder, the resulting concentration is 200,000 units $/ \mathrm{mL}$. Based on this information, how many milliliters of saline should be used in compounding $1,000,000$ units of penicillin G sodium?

   The information on the leaflets enclosed with a vial containing $5,000,000$ units of penicillin $\mathrm{G}$ sodium states that when $23 \mathrm{~mL}$ saline diluent are added to the dry powder, the resulting concentration is 200,000 units $/ \mathrm{mL}$. Based on this information, how many milliliters of saline should be used in compounding $1,000,000$ units of penicillin G sodium?

Essential Math and Calculations for Pharmacy Technicians

Indra K. Reddy,… 1st Edition

Chapter 11, Problem 20

Instant Answer

Step 1

The original solution contains $5,000,000$ units of penicillin G sodium in $23$ mL of saline. Therefore, the concentration of the original solution is: $$\frac{5,000,000 \text{ units}}{23 \text{ mL}} \approx 217,391.30 \text{ units/mL}$$ Show more…

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The information on the leaflets enclosed with a vial containing $5,000,000$ units of penicillin $\mathrm{G}$ sodium states that when $23 \mathrm{~mL}$ saline diluent are added to the dry powder, the resulting concentration is 200,000 units $/ \mathrm{mL}$. Based on this information, how many milliliters of saline should be used in compounding $1,000,000$ units of penicillin G sodium?

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Key Concepts

Dilution

Dilution refers to the process of reducing the concentration of a solution by adding more solvent without changing the amount of the solute. This concept is crucial in pharmaceutical calculations when reconstituting medications to achieve a specific desired concentration.

Concentration

Concentration is a measure of the amount of an active ingredient present per unit volume of solution. Understanding concentration is essential when reconstituting medications, as it determines the potency and correct dosage of the compounded solution.

Ratio and Proportion Calculations

Ratio and proportion calculations are mathematical methods used to relate the quantities of solute and solvent. In pharmaceutical preparations, these calculations help in determining the appropriate volume of diluent needed to achieve a desired concentration of medication based on a proportional relationship.

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