Question

Calculate the number of units per milliliter if a $10 \mathrm{~mL}$ vial of heparin containing 30,000 units $/ \mathrm{mL}$ is injected into $250 \mathrm{~mL}$ of normal saline solution. 

   Calculate the number of units per milliliter if a $10 \mathrm{~mL}$ vial of heparin containing 30,000 units $/ \mathrm{mL}$ is injected into $250 \mathrm{~mL}$ 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 38 ↓

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The vial contains 30,000 units/mL and has a volume of 10 mL. Total units in vial = 30,000 units/mL x 10 mL = 300,000 units  Show more…

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Calculate the number of units per milliliter if a $10 \mathrm{~mL}$ vial of heparin containing 30,000 units $/ \mathrm{mL}$ is injected into $250 \mathrm{~mL}$ of normal saline solution.
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Key Concepts

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Unit Conversion
Unit conversion ensures that all measurements used in calculations are consistent and correct. This is vital when dealing with different units of volume or mass in order to accurately determine the final concentration of a solution.
Total Solute Amount
The total solute amount is the aggregate quantity of the substance present in the original solution before dilution. Knowing this total amount allows one to recalculate the new concentration after the solution is mixed with additional solvent.
Dilution
Dilution is the process of reducing the concentration of a solution by adding more solvent. It involves mixing a concentrated solution with a diluent, resulting in a new mixture with a lower concentration of the solute.
Concentration Calculations
Concentration calculations involve determining the amount of solute per unit volume in a solution. This is typically done by dividing the total amount of solute by the total volume of the solution, an essential step in preparing solutions with desired strengths.
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A physician orders 30,000 units of heparin in 500 mL of D5W to infuse at 10 mL/hour. What would be the hourly dosage of heparin?
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