Question

Calculate the number of units per milliliter if a $6 \mathrm{~mL}$ vial of heparin containing 100,000 units $/ \mathrm{mL}$ is injected into $500 \mathrm{~mL}$ of normal saline solution.

   Calculate the number of units per milliliter if a $6 \mathrm{~mL}$ vial of heparin containing 100,000 units $/ \mathrm{mL}$ is injected into $500 \mathrm{~mL}$ of normal saline solution.
Essential Math and Calculations for Pharmacy Technicians
Essential Math and Calculations for Pharmacy Technicians
Indra K. Reddy,… 1st Edition
Chapter 15, Problem 40 ↓

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Given that the vial contains 100,000 units/mL and the volume of the vial is 6 mL, the total number of units in the vial is: $100,000 \text{ units/mL} \times 6 \text{ mL} = 600,000$ units  Show more…

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Calculate the number of units per milliliter if a $6 \mathrm{~mL}$ vial of heparin containing 100,000 units $/ \mathrm{mL}$ is injected into $500 \mathrm{~mL}$ of normal saline solution.
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Key Concepts

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Dilution Principle
The dilution principle involves mixing a known quantity of a substance with a solvent to decrease its concentration. In this context, it requires understanding that the total amount of solute remains unchanged while the volume increases, resulting in a lower concentration of the substance per unit volume.
Total Quantity Calculation
Total quantity calculation is the process of determining the overall amount of a substance present in a solution by multiplying the concentration of the substance by the volume of the solution from which it came. This calculation is crucial before the dilution step to ensure that the original amount is preserved during the mixing process.
Final Concentration Determination
Final concentration determination involves dividing the total amount of the substance by the total volume of the diluted solution. This key concept applies the principle of conservation of mass to find the new concentration after mixing solutions of different volumes.

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How many milliliters would be needed to administer 6,000 units of heparin to a patient if the concentration of the heparin is 10,000 units/mL?

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