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

Using conversion factors, solve each 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 67 lb. If stock on hand is $250 \mathrm{mg} /$ capsule, how many capsules should be given?

Using conversion factors, solve each 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 67 lb. If stock on hand is $250 \mathrm{mg} /$ capsule, how many capsules should be given?

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Key Concepts

Dimensional Analysis

Dimensional analysis is a systematic method used to convert between different units by treating units as algebraic quantities that can be canceled out as needed. This method helps ensure that calculations are logically sound and that the final result is in the desired unit of measurement.

Conversion Factors

These are ratios that express the equivalence between different units. In clinical dosage calculations, conversion factors allow for the systematic cancellation of units, such as converting mg to mL or lbs to kg, ensuring that the final answer is expressed in the correct units.

Dosage Calculation

This concept involves determining the proper amount of a medication to administer based on specific patient data and medication concentration. It requires integrating the prescribed dose, the concentration of the available medication, and sometimes the patient’s weight to arrive at a safe and effective dose.

Unit Conversion

Unit conversion is the process of converting measurements from one unit to another, such as changing pounds to kilograms or mg to mL. Accurate unit conversion is essential in the clinical setting to make sure that all computations are done using consistent and compatible units.

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