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Fluid Deficit Calculator

Fluid deficit calculator estimates free water deficit for patients with hypernatremia using Total Body Water. TBW varies by gender and age (0.6 for adult males, 0.5 for females), and safe correction targets 10 to 12 mEq/L per 24 hours.

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Formula

#
Core Formula
Deficit=TBW×(1Target NaCurrent Na)\text{Deficit} = \text{TBW} \times \left(1 - \frac{\text{Target Na}}{\text{Current Na}}\right)

How it works: Calculates the volume of water needed to return serum sodium to a target level.

Worked Example

70kg Male, 160 Na, Target 140 -> ~6.1 L water deficit.

Understanding Free Water Deficit in Hypernatremia

The free water deficit estimates how much pure water a patient needs to lower their serum sodium to a safe target level. It accounts for Total Body Water, which varies by age, gender, and body composition.

  • Formula: Free Water Deficit = TBW x (1 - Target Na / Current Na)
  • TBW: Adult male 60% of weight, female 50%, elderly male 50%, elderly female 45%
  • Safe correction rate: no more than 10 to 12 mEq/L sodium drop per 24 hours to prevent cerebral edema
  • Replacement fluids include D5W (free water equivalent), half-normal saline (0.45% NaCl), or oral water
  • Deficits are typically replaced over 48 to 72 hours with frequent sodium monitoring

This calculator is for educational purposes only. Hypernatremia correction requires close monitoring and should always be managed by a qualified healthcare professional.

You can also calculate changes using our Corrected Sodium Calculator or IV Drip Rate Calculator.

Frequently Asked Questions

What is the goal of free water replacement?

The goal is to safely lower serum sodium. Correcting too quickly can cause cerebral edema, so the standard target is a 10 to 12 mEq/L drop per 24 hours.

What is TBW?

Total Body Water (TBW) is the estimated percentage of body weight that is water: adult male 0.6, adult female 0.5, elderly male 0.5, elderly female 0.45. For a 70 kg adult male, TBW is 42 liters.

How should the deficit be replaced?

Deficits are usually replaced over 48 to 72 hours using D5W (free water equivalent), half-normal saline (0.45% NaCl), or oral water, following institutional protocols with frequent sodium rechecks.

What causes hypernatremia?

Common causes include dehydration (inadequate water intake), diabetes insipidus, excessive sodium intake, and conditions causing excessive water loss such as fever, burns, or osmotic diuresis.

Why is rapid correction dangerous?

Rapid lowering of sodium can cause water to shift into brain cells, leading to cerebral edema. This is why correction is limited to 10 to 12 mEq/L per 24 hours.

Is this calculator a substitute for medical advice?

No. This tool is for educational purposes only. Fluid and electrolyte management should always be supervised by a qualified healthcare professional.

Can I use this Fluid Deficit Calculator on my own web page?

You can. Look for the "Embed" button near the top of this calculator. It lets you pick a size, border style, and color palette, then gives you an iframe tag to paste into any webpage. The widget is responsive, loads fast, and costs nothing. More details at calculory.com/services/embed-calculators.

Medical Disclaimer

This calculator is provided for informational and educational purposes only. It is not intended as a substitute for professional medical advice, diagnosis, or treatment. Always consult a qualified healthcare provider before making any decisions based on these results. Do not disregard or delay seeking medical advice because of information obtained from this tool.

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