Using conversion factors, solve cach of the following...

Using conversion factors, solve cach of the following clinical problems: a. A nurse practitioner prepares an injection of promethazine, an antihistamine used to treat allergic rhinitis. If the stock bottle is labeled $25 \mathrm{mg} / \mathrm{mL}$ and the order is a dose of $12.5 \mathrm{mg}$, how many milliliters will the nurse draw up in the syringe? b. You are to give ampicillin $25 \mathrm{mg} / \mathrm{kg}$ to a child with a mass of 62 lb. If stock on hand is $250 \mathrm{mg} /$ capsule, how many capsules should be given?

Using conversion factors, solve cach of the following clinical problems:
a. A nurse practitioner prepares an injection of promethazine, an antihistamine used to treat allergic rhinitis. If the stock bottle is labeled $25 \mathrm{mg} / \mathrm{mL}$ and the order is a dose of $12.5 \mathrm{mg}$, how many milliliters will the nurse draw up in the syringe?
b. You are to give ampicillin $25 \mathrm{mg} / \mathrm{kg}$ to a child with a mass of 62 lb. If stock on hand is $250 \mathrm{mg} /$ capsule, how many capsules should be given?

Key Concepts

Unit Conversion

Unit conversion involves changing a measurement from one unit of measure to another using appropriate conversion factors. This is vital in clinical scenarios where medication dosages may need to be converted from one form to another, such as from milligrams to milliliters or pounds to kilograms.

Ratios and Proportions

Ratios and proportions form the basis of many calculations in clinical practice. They allow healthcare professionals to relate different quantities and solve for unknowns by setting up equivalent statements, ensuring precise and accurate medication administration.

Dosage Calculation

Dosage calculation is the process of determining the correct amount of a medication to administer based on specific guidelines, such as the concentration of the stock solution and patient weight. This concept integrates multiple conversion factors and dimensional analysis to accurately translate prescribed doses into measurable volumes or quantities.

Dimensional Analysis

Dimensional analysis is a systematic method used to convert units by multiplying by conversion factors. It helps verify that calculations maintain proper units, thereby reducing errors, especially in the context of medication dosing and other clinical applications.

Conversion Factors

Conversion factors are ratios that allow you to convert between different units of measurement. They are essential in a variety of fields, including clinical settings, because they ensure that the quantities remain consistent when expressed in different units.

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