A heparin dose of 100 units/lb of body weight has been...

A heparin dose of 100 units/lb of body weight has been recommended for a patient undergoing surgery. How many $\mathrm{mL}$ of an injection containing 2000 heparin units/ $\mathrm{mL}$ should be administered to a $70-\mathrm{kg}$ patient?

Key Concepts

Unit Conversion

Unit conversion is the process of converting measurements from one unit system to another. In medication dosing, converting weight from kilograms to pounds (or vice versa) is often necessary to ensure the correct calculation of dosages when the prescribed dose is given in units per pound and the patient's weight is provided in kilograms.

Dosage Calculation Based on Body Weight

Dosage calculation based on body weight involves multiplying a standardized dose per unit of body weight by the patient's weight to determine the total required dose. This step is crucial in ensuring that the patient receives an appropriate amount of medication relative to their body mass, which is especially important in surgical and emergency settings.

Concentration and Dilution

Once the total required dosage has been determined, concentration and dilution concepts are used to calculate the volume of a solution that contains the predetermined amount of drug. This involves using the concentration of the medication (units per mL) to convert the total dose into a measurable volume for administration.

Dimensional Analysis

Dimensional analysis is a method used to convert one unit to another by multiplying by conversion factors. This approach helps to verify that all units properly cancel out, which minimizes calculation errors and ensures that the final answer is expressed in the correct units.

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