Question

A patient is to receive an IV drip of the following: Sodium Heparin 5,000 units Sodium Chloride Injection $(0.45 \%) \quad 100 \mathrm{~mL}$ a. How many milliliters per hour must be administered to achieve a rate of 1000 units of sodium heparin per hour? b. If the IV set delivers 15 drops $/ \mathrm{mL}$, how many drops per minute should be administered?

   A patient is to receive an IV drip of the following:
Sodium Heparin 5,000 units
Sodium Chloride Injection $(0.45 \%) \quad 100 \mathrm{~mL}$
a. How many milliliters per hour must be administered to achieve a rate of 1000 units of sodium heparin per hour?
b. If the IV set delivers 15 drops $/ \mathrm{mL}$, how many drops per minute should be administered?
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Essential Math and Calculations for Pharmacy Technicians
Essential Math and Calculations for Pharmacy Technicians
Indra K. Reddy,… 1st Edition
Chapter 15, Problem 2 ↓

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Given that the IV solution contains 5,000 units of sodium heparin in 100 mL of solution, the concentration of sodium heparin in the solution is 5,000 units/100 mL = 50 units/mL.  Show more…

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A patient is to receive an IV drip of the following: Sodium Heparin 5,000 units Sodium Chloride Injection $(0.45 \%) \quad 100 \mathrm{~mL}$ a. How many milliliters per hour must be administered to achieve a rate of 1000 units of sodium heparin per hour? b. If the IV set delivers 15 drops $/ \mathrm{mL}$, how many drops per minute should be administered?
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Key Concepts

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Intravenous (IV) Infusion Calculations
This concept involves determining the appropriate rate at which an IV solution should be administered to achieve a prescribed amount of medication per unit time. It encompasses computing how much volume contains a given dose of the medication, ensuring that the patient receives the correct therapeutic dose over a specified period.
Concentration and Dilution
Understanding concentration and dilution is critical when a substance is mixed with a specific volume of fluid. This concept allows one to calculate how many units (or other measures of dosage) are present in a smaller portion of the diluted solution, making it possible to accurately determine how much of the solution to administer to achieve the desired dosage.
Flow Rate Conversion
This concept involves converting the calculated volume per unit time (e.g., milliliters per hour) into a different unit of measurement that is more practical for IV administration such as drops per minute. It ensures that the solution is delivered at the correct speed, aligning with the prescribed dosage rate.
Unit Conversion
Unit conversion is essential for ensuring consistency in measurements across different units, such as converting hours into minutes or milliliters into drops. This fundamental mathematical skill underpins accurate medication administration and is critical in clinical settings to avoid dosing errors.

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