Question

A heparin dose of 150 units/ $\mathrm{kg}$ of body weight has been recommended for a patient undergoing surgery. How many $\mathrm{mL}$ of an injection containing 6000 heparin units/ $\mathrm{mL}$ should be administered to a $100-1 \mathrm{~b}$ patient?

   A heparin dose of 150 units/ $\mathrm{kg}$ of body weight has been recommended for a patient undergoing surgery. How many $\mathrm{mL}$ of an injection containing 6000 heparin units/ $\mathrm{mL}$ should be administered to a $100-1 \mathrm{~b}$ patient?
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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 14 ↓

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Given that the recommended dose is 150 units/kg and the patient weighs 100 kg, the total dose needed can be calculated as: Total dose = 150 units/kg x 100 kg = 15,000 units  Show more…

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A heparin dose of 150 units/ $\mathrm{kg}$ of body weight has been recommended for a patient undergoing surgery. How many $\mathrm{mL}$ of an injection containing 6000 heparin units/ $\mathrm{mL}$ should be administered to a $100-1 \mathrm{~b}$ patient?
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Key Concepts

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Concentration and Volume Relationship
Once the total medication dose in units has been calculated, this concept is used to determine the volume of the drug solution to administer. It requires understanding the concentration of the medication (units per mL) and applying a ratio to convert the total units into the corresponding volume in mL.
Dimensional Analysis
This mathematical technique is used to ensure that the units of measurement cancel appropriately during calculations. It aids in validating that the final answer is expressed in the correct units, which is vital for accurate and safe medication dosing.
Unit Conversion
This concept refers to converting measurements from one system to another, such as converting a patient's weight from pounds to kilograms. Accurate conversion is essential in medicine because dosing recommendations are often based on weight in metric units, while patient weights might be recorded in imperial units.
Dosage Calculation
This involves determining the total amount of medication required by multiplying the dose per unit of weight by the patient's weight. It is a critical step in ensuring the patient receives the correct amount of medication based on standardized dosing guidelines.

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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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