Calculate the number of units per milliliter if an 8 mL vial of heparin containing 8,000 units

Step 1: Calculate the total number of units of heparin in the vial. Given that the vial contains

Question

Calculate the number of units per milliliter if an $8 \mathrm{~mL}$ vial of heparin containing 8,000 units $/ \mathrm{mL}$ is injected into $1000 \mathrm{~mL}$ of normal saline solution.

   Calculate the number of units per milliliter if an $8 \mathrm{~mL}$ vial of heparin containing 8,000 units $/ \mathrm{mL}$ is injected into $1000 \mathrm{~mL}$ of normal saline solution.

Essential Math and Calculations for Pharmacy Technicians

Indra K. Reddy,… 1st Edition

Chapter 15, Problem 31

Instant Answer

Step 1

Given that the vial contains 8,000 units per mL and the vial is 8 mL, the total number of units in the vial is $8,000 \text{ units/mL} \times 8 \text{ mL} = 64,000 \text{ units}$. Show more…

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Calculate the number of units per milliliter if an $8 \mathrm{~mL}$ vial of heparin containing 8,000 units $/ \mathrm{mL}$ is injected into $1000 \mathrm{~mL}$ of normal saline solution.

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Key Concepts

Dilution Principle

Dilution is the process of decreasing the concentration of a solution by adding more solvent. When a concentrated solution is mixed with additional solvent, the amount of solute remains the same while the overall volume increases, resulting in a lower concentration per unit volume.

Concentration Calculation

Concentration is a measure of the amount of a substance present in a specific volume of solution. After dilution, the new concentration is determined by dividing the total amount of solute by the total volume of the mixture, which helps in calculating the final units per milliliter.

Volume and Unit Proportions

Understanding the relationship between volumes and the amount of solute is crucial for performing dilution calculations. The total amount of active substance in the original solution is distributed throughout the final combined volume, allowing for calculation of the proportionate concentration in the diluted solution.

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