A patient receives 3-mEq of sodium chloride per kg of his body weight. If the patient weighs 140

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A patient receives 3-mEq of sodium chloride per kg of his...

A patient receives $3-\mathrm{mEq}$ of sodium chloride per $\mathrm{kg}$ of his body weight. If the patient weighs $140 \mathrm{~kg}$, how many milliliters of $0.9 \%$ sterile saline solution should the patient be administered?

Key Concepts

Unit Conversion and Dimensional Analysis

Unit conversion and dimensional analysis involve the systematic conversion of one set of units to another using conversion factors, ensuring that calculations are consistent and accurate. This process is essential when transitioning between different measurement systems (for example, converting weight-based dosing from mEq/kg to the corresponding volume in mL based on the solution’s concentration).

Electrolyte Content in Normal Saline

Normal saline (0.9% sodium chloride) is a commonly used intravenous fluid that contains a specific amount of electrolytes. It is important to understand that this solution contains a known concentration of sodium and chloride ions—typically about 154 mEq of each per liter. This knowledge is key to translating a prescribed mEq dose into the exact volume of saline required for administration.

Weight-based Dosing

Weight-based dosing refers to the practice of calculating drug or fluid doses according to the patient’s weight, typically expressed in units such as mg/kg or mEq/kg. This practice helps tailor the dose to the individual patient, ensuring both efficacy and safety by accounting for variations in size and metabolism.

Solution Concentration and Percentages

Solution concentration, particularly when described as a percentage, indicates the amount of solute present in a given volume of solution. For example, a 0.9% saline solution means that there are 0.9 grams of sodium chloride in 100 mL of solution, translating to 9 grams per liter. Understanding these percentages is crucial for converting between mass, volume, and dosing units.

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