Free Water Deficit Calculator — Hypernatremia Correction

Estimate free water deficit for hypernatremia review with a TBW-based formula and Adrogue-Madias-style worksheet context for fluid planning.

⚠️ Critical Safety: Rapid correction of hypernatremia (>10-12 mEq/L per 24h) can cause cerebral edema, seizures, and death. Start correction slowly and recheck sodium every 4-6 hours. In chronic hypernatremia (>48h), correct no faster than 0.5 mEq/L per hour.

Patient Demographics

Sodium & Correction

Replacement Fluid

Free Water Deficit
4.5 L
TBW: 42 L (60% of weight)
Safe Volume (24h)
3 mL
To correct ≤ 10 mEq/L in 24h
Safe IV Rate
0 mL/hr
D5W + maintenance
Target Na at 24h
145 mEq/L
From 155 → max drop 10
ΔNa per Liter
-3.6 mEq/L
Adrogue-Madias per 1L fluid
Time to Full Correction
~36 hours
At 10 mEq/L per 24h
Na⁺ 155 mEq/L — Moderate hypernatremia

Free water deficit: 4.5 L | Maximum safe correction: 10 mEq/L per 24h

Correction Plan

TimeTarget NaCumulative ReplacementAction
0 hours1550 mLStart D5W at 0 mL/hr
6 hours~153~0 mLRecheck Na; adjust rate
12 hours~150~0 mLRecheck Na; assess volume status
24 hours145~3 mLRecheck Na; continue if above target

TBW Fractions by Demographics

PopulationMaleFemale
Lean / Athletic65%55%
Normal adult60%50%
Elderly (> 65)50%45%
Obese50%40%

Common Causes of Hypernatremia

MechanismCausesKey Features
Inadequate water intakeAltered mental status, nursing home, intubated, no access to waterMost common cause in hospitalized/elderly patients
Diabetes insipidus (central)Post-neurosurgery, head trauma, tumorsDilute urine (Osm < 300), large volumes (>3 L/day)
Diabetes insipidus (nephrogenic)Lithium, hypercalcemia, hypokalemia, tubulointerstitial diseaseUrine does not concentrate with dDAVP
Osmotic diuresisHyperglycemia, mannitol, urea, post-obstructivePolyuria with moderate urine Osm (300-600)
Sodium gainHypertonic saline, NaHCO₃, salt tablets, sea water ingestionRare; iatrogenic in hospitalized patients
Planning notes, formulas, and examples

About the Free Water Deficit Calculator — Hypernatremia Correction

Hypernatremia (serum sodium > 145 mEq/L) indicates a deficit of water relative to sodium, most commonly from inadequate water intake in patients who cannot drink independently — the elderly, obtunded, intubated, or cognitively impaired. The free water deficit formula estimates the volume of electrolyte-free water needed to restore serum sodium to normal by calculating the excess sodium load in total body water.

The critical safety concern in hypernatremia correction is the rate of correction. The brain adapts to chronic hypernatremia by generating intracellular osmolytes (idiogenic osmoles) over 24-48 hours. Rapid correction — dropping sodium faster than 10-12 mEq/L per 24 hours — can cause water to shift into brain cells faster than osmolytes can dissipate, resulting in cerebral edema, seizures, permanent neurological damage, or death. For chronic hypernatremia, the correction rate should not exceed 0.5 mEq/L per hour.

This calculator uses the standard free water deficit formula with age/sex/habitus-specific total body water fractions, applies the Adrogue-Madias formula to calculate the sodium change per liter of each fluid type, and generates a safe correction plan with specific IV rates, recheck intervals, and target sodium at each time point. It supports D5W, half-normal saline, quarter-normal saline, and oral free water.

When This Page Helps

Hypernatremia is easier to review when the estimated free-water deficit, the intended sodium target, and the chosen fluid are kept in one worksheet. This page helps organize those pieces, but the rate and fluid plan still need to be checked against the patient’s volume status, ongoing losses, and the surrounding clinical context.

How to Use the Inputs

  1. Enter patient demographics (sex, age, weight, body habitus) for TBW calculation.
  2. Enter current serum sodium and target sodium.
  3. Set the maximum correction rate (default 10 mEq/L per 24h — reduce for chronic cases).
  4. Select the replacement fluid type.
  5. Review the free water deficit, safe IV rate, and correction timeline.
  6. Recheck sodium every 4-6 hours and adjust the rate accordingly.
Formula used
TBW = Weight × TBW fraction (0.40-0.65 depending on sex, age, habitus) Free water deficit = TBW × [(Na_current / Na_target) - 1] Adrogue-Madias: ΔNa per 1L infusate = (Infusate Na - Serum Na) / (TBW + 1) Correction rate: ≤ 10-12 mEq/L per 24h (≤ 0.5 mEq/L per hour for chronic)

Example Calculation

Result: Free water deficit 4.2 L, Safe rate ~87 mL/hr D5W for first 24h

TBW = 65 × 0.50 (elderly male) = 32.5 L. Free water deficit = 32.5 × (158/140 - 1) = 32.5 × 0.129 = 4.2 L. Adrogue-Madias: ΔNa per 1L D5W = (0 - 158)/(32.5 + 1) = -4.7 mEq/L per liter. To lower Na by 10 mEq/L in 24h: need 10/4.7 = 2.1 L over 24h = 87 mL/hr. Target Na at 24h: 148 mEq/L.

Tips & Best Practices

  • The calculated free water deficit is a starting point — always add estimated ongoing losses (insensible, urinary, GI) to the replacement plan.
  • Recheck sodium every 4-6 hours in the first 24 hours. If Na is dropping too fast, slow the rate or switch to a less hypotonic fluid.
  • Acute and chronic hypernatremia are not approached the same way, so the correction pace should be interpreted in clinical context rather than from the formula alone.
  • Don't forget to treat the underlying cause — if the patient has diabetes insipidus, dDAVP will reduce ongoing water losses and make correction more predictable.
  • High replacement rates and fluid selection still need bedside review, especially when volume depletion, hyperglycemia, or ongoing osmotic losses are present.

What the Deficit Represents

The calculated free-water deficit is an estimate of how much electrolyte-free water would be needed to move the current sodium concentration back toward the chosen target if the patient were otherwise stable. It is a starting frame for review, not the entire treatment plan.

Why Ongoing Losses Matter

Urine output, insensible losses, GI losses, and diabetes insipidus can change the sodium trajectory quickly. A technically correct static deficit can still mislead if the patient continues to lose water after the initial lab draw.

Why Serial Rechecks Matter

Hypernatremia management is usually iterative. The estimated deficit helps choose an initial approach, but repeat sodium checks and reassessment of fluid balance determine whether the pace is appropriate or needs to be slowed, accelerated, or re-framed entirely.

Sources & Methodology

Last updated:

Methodology

This calculator estimates total body water from the entered demographics, calculates the free-water deficit against the chosen sodium target, and uses an Adrogue-Madias-style change-in-sodium approximation to show how different fluids may move the serum sodium over time. It presents that as a planning worksheet rather than as a stand-alone order set.

The result does not account for every ongoing loss or every clinical constraint automatically. Volume status, diabetes insipidus, osmotic diuresis, hyperglycemia, renal replacement therapy, and other factors can change the actual correction path materially.

Sources

Frequently Asked Questions

  • In chronic hypernatremia (>48 hours), brain cells accumulate intracellular osmolytes (taurine, glutamine, sorbitol, myo-inositol) to prevent cellular dehydration. Rapid lowering of serum sodium causes water to rush into cells before these osmolytes can be cleared, causing cerebral edema. This is the reverse mechanism of osmotic demyelination in hyponatremia correction.