Question

Calculate the number of units per milliliter if a $20 \mathrm{~mL}$ vial of heparin containing 60,000 units $/ \mathrm{mL}$ is injected into $500 \mathrm{~mL}$ of normal saline solution.

   Calculate the number of units per milliliter if a $20 \mathrm{~mL}$ vial of heparin containing 60,000 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 34 ↓

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Given that the vial contains 60,000 units/mL and the volume of the vial is 20 mL, the total number of units in the vial is: $60,000 \text{ units/mL} \times 20 \text{ mL} = 1,200,000$ units  Show more…

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Calculate the number of units per milliliter if a $20 \mathrm{~mL}$ vial of heparin containing 60,000 units $/ \mathrm{mL}$ is injected into $500 \mathrm{~mL}$ of normal saline solution.
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Key Concepts

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Dilution Factor
The dilution factor quantifies how much the original solution has been diluted. It is calculated by dividing the final total volume by the original volume of the concentrated solution, and it provides a straightforward way to determine the resulting concentration after dilution.
Concentration
Concentration refers to the amount of a solute (for example, an active substance) present per unit volume of a solution. It is a key concept in understanding how potent a solution is, often expressed in units per milliliter or similar measures.
Total Amount Calculation
Total amount calculation involves determining the overall quantity of the solute in the original solution, typically by multiplying the concentration by the volume of the solution. This is essential for knowing the amount available to be diluted or used.
Dilution
Dilution is the process of reducing a solution's concentration by adding more solvent. The solute amount remains constant while the total volume increases, leading to a lower concentration. This concept is widely used in preparing solutions of desired strengths.

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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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