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Calculators and Calculations
Home›Calculators and Calculations›How to calculate free water deficit

How to calculate free water deficit

By Matthew Lynch
September 20, 2023
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Free water deficit (FWD) is a clinical measurement used to determine the amount of water loss in the body, specifically in situations of hypernatremia or elevated blood sodium levels. Accurately calculating FWD is crucial for medical professionals when deciding the appropriate course of action for treating patients. In this article, we’ll explain the basics of free water deficit and provide a step-by-step guide on how to calculate it.

What is Free Water Deficit?

Free water deficit represents the volume of water required to return a patient’s serum sodium concentration to normal without changing the total body solute content. Hypernatremia can result from several factors, including dehydration and increased intake of sodium-rich foods or excessive use of diuretics.

Calculating Free Water Deficit:

To calculate free water deficit, you’ll need three pieces of information:

1. The patient’s current serum sodium level (Na_current)

2. The desired serum sodium level (Na_desired)

3. The patient’s total body water (TBW)

Step 1: Determine the patient’s total body water

TBW is calculated using the following equation:

TBW = weight (in kg) x percentage

The percentage differs based on age, sex, and body habitus:

– For young adult males: 0.6

– For young adult females: 0.5

– For older adults or obese individuals: 0.45

Example:

Let’s consider a young adult male weighing 70 kg.

TBW = 70 kg x 0.6 = 42 L

Step 2: Calculate the change in serum sodium levels

Change in serum sodium levels (ΔNa) can be determined using this equation:

ΔNa = Na_current – Na_desired

Example:

Let’s assume the patient has a current serum sodium level of 160 mEq/L, and the desired serum sodium level is 140 mEq/L.

ΔNa = 160 – 140 = 20 mEq/L

Step 3: Calculate the free water deficit

Finally, use the following equation to determine the FWD:

FWD = TBW x ΔNa / Na_desired

Example:

FWD = 42 L x 20 mEq/L / 140 mEq/L

FWD ≈ 6 L

In this example, the patient has a free water deficit of approximately 6 liters.

Conclusion:

Calculating free water deficit is an essential skill for healthcare professionals who work with hypernatremic patients. Understanding and accurately determining FWD can guide appropriate treatment strategies to address an individual’s specific needs and help ensure efficient recovery. Remember that FWD should be reevaluated periodically during therapy, as fluid intake and overall clinical condition can change throughout treatment.

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Matthew Lynch

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