Question

Calculate the number of units per milliliter if a $3 \mathrm{~mL}$ vial of heparin containing 200,000 units $/ \mathrm{mL}$ is injected into $1000 \mathrm{~mL}$ of normal saline solution.

   Calculate the number of units per milliliter if a $3 \mathrm{~mL}$ vial of heparin containing 200,000 units $/ \mathrm{mL}$ is injected into $1000 \mathrm{~mL}$ 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 35 ↓

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Given that the vial contains 200,000 units/mL and the volume of the vial is 3 mL, the total number of units in the vial can be calculated as: Total units in vial = 200,000 units/mL * 3 mL = 600,000 units  Show more…

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Calculate the number of units per milliliter if a $3 \mathrm{~mL}$ vial of heparin containing 200,000 units $/ \mathrm{mL}$ is injected into $1000 \mathrm{~mL}$ of normal saline solution.
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Key Concepts

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Drug Concentration
This concept refers to the amount of active substance (in this case, heparin units) present per unit volume of a solution. Understanding drug concentration is crucial in pharmacy and medicine to ensure that patients receive the correct dosage and that the medication is administered safely and effectively.
Dilution
Dilution is the process of reducing the concentration of a solute within a solution, usually by adding more solvent. In clinical contexts, it is commonly used to adjust the concentration of drugs to ensure accurate dosing, proper dispersion, and safe administration.
Total Amount Calculation
Before performing a dilution, it is important to calculate the total amount of the active ingredient present in the original concentrated solution. This involves multiplying the concentration by the volume of the original solution, which is then spread over the final total volume after dilution.
Ratio and Proportion
The application of ratio and proportion is essential when mixing solutions of different concentrations. After determining the total amount of the active drug, one divides that amount by the final volume of the solution to obtain the new concentration, ensuring the correct proportion is maintained in the final mixture.

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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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