Write an equality and two conversion factors for each of the following medications:a. 10 mg of Atarax per 5 mL of Atarax syrup

Verified step by step guidance

1. Identify the given information: 10 mg of Atarax is equivalent to 5 mL of Atarax syrup.
2. Write the equality based on the given information: 10 mg Atarax = 5 mL Atarax syrup.
3. Create the first conversion factor by dividing both sides of the equality by 5 mL: (10 mg Atarax) / (5 mL Atarax syrup) = 1.
4. Create the second conversion factor by dividing both sides of the equality by 10 mg: (5 mL Atarax syrup) / (10 mg Atarax) = 1.
5. These conversion factors can be used to convert between milligrams of Atarax and milliliters of Atarax syrup in calculations.

Key Concepts

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In the context of medication dosages, it is essential to understand how to convert between milligrams (mg) and milliliters (mL) to ensure accurate dosing. This involves using conversion factors that relate the two units based on the concentration of the medication.

Concentration

Concentration refers to the amount of a substance (solute) present in a given volume of solution. In this case, the concentration of Atarax syrup is expressed as 10 mg per 5 mL. Understanding concentration is crucial for calculating dosages and ensuring that patients receive the correct amount of medication based on their needs.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that cancel out unwanted units. This method is particularly useful in pharmacology for ensuring that calculations involving dosages and concentrations yield results in the desired units. It helps in systematically approaching problems involving unit conversions, making it easier to derive accurate medication dosages.