Skip to main content

Free Water Deficit

The Free Water Deficit calculator estimates the volume of free water needed to correct hypernatremia (serum sodium >145 mEq/L). The formula uses the patient's total body water (TBW), which varies by sex (60% of body weight in males, 50% in females) and age. The deficit represents the amount of free water that has been lost, leading to the concentrated serum sodium. Correction should be gradual — no more than 10–12 mEq/L per 24 hours — to avoid cerebral edema. This is a critical ICU and nephrology calculation. For hyponatremia correction see Sodium Correction Calculator, for AKI assessment see FENa Calculator and eGFR Calculator. ICU severity scoring: APACHE II and SOFA Score.

Formula: Free Water Deficit (L) = TBW × ((Current Na / 140) − 1). TBW = Weight × 0.6 (male) or 0.5 (female).

Save your results with a free account

Keep a history of calculations, favorite tools, and access your dashboard anytime.

How It Works

1

Estimate total body water

The calculator estimates TBW from body weight and sex (male 0.6 x weight, female 0.5 x weight) as the base compartment for sodium-water balance.

2

Compute free water deficit

It applies the standard formula: TBW x ((current sodium / 140) - 1), generating the approximate liters of electrolyte-free water deficit.

3

Plan safe correction and reassessment

Use the result as a starting volume target, then distribute replacement over 48 to 72 hours with serial sodium checks and adjustment for ongoing losses.

Who Uses the Free Water Deficit

ICU Hypernatremia Management

Critical care teams

Estimate replacement volume in ventilated or NPO patients with hypernatremia, then convert to hourly D5W or enteral free-water plans.

Ward Fluid Planning

Hospitalists, nephrology

Guide day-to-day free-water orders for dehydration, osmotic diuresis, and poor oral intake while avoiding overly rapid correction.

Elderly and Frail Patients

Geriatrics, internal medicine

Support cautious correction where reduced reserve and chronic hypernatremia increase risk from aggressive sodium lowering.

Pro Tips

1

Add ongoing losses on top of the calculated deficit

The formula gives the existing deficit only — it does not account for continued insensible losses (~30-50 mL/hr in an average adult), fever (add 10-15% per °C above 37°C), diarrhea, or osmotic diuresis. In a patient with ongoing polyuria (e.g., diabetes insipidus, post-obstructive diuresis), add hourly urine output above 1 mL/kg/hr to the replacement rate, or the sodium will not fall as predicted.

2

Use 0.5 (male) / 0.45 (female) TBW fraction in elderly or frail patients

The standard 0.6/0.5 fractions assume average adult body composition. Elderly patients have proportionally less lean mass and lower total body water, so using the younger-adult fraction overestimates the deficit and can lead to over-replacement. Many nephrology references recommend 0.5 for elderly males and 0.45 for elderly females.

3

Cap the 24-hour correction rate — do not just replace the full deficit at once

The calculator outputs a total deficit in liters, not a safe hourly rate. Divide the deficit (plus estimated ongoing losses) across 48-72 hours, and never let the drop in serum sodium exceed 10-12 mEq/L in any 24-hour period. For chronic hypernatremia (present > 48 hours), aim for the slower end (6-8 mEq/L/24h) — the brain has adapted with intracellular osmolytes that take time to clear, and rapid correction risks cerebral edema.

4

Recheck sodium every 4-6 hours during active correction

Free water deficit calculations are estimates, not prescriptions. Actual response depends on renal concentrating ability, ongoing intake, and unmeasured losses. Recheck serum sodium every 4-6 hours while actively correcting and adjust the infusion rate rather than relying on the single upfront calculation for the entire course.

Common Questions About Your Results

Clinical Content Trust

Last reviewed:
April 21, 2026
Guideline version:
General evidence framework v2026.04
Source set version:
Primary-source set v1

How to Interpret Your Result

Your result shows the estimated volume of free water (in liters) that the patient has lost, leading to the current hypernatremic state. This deficit represents the amount of electrolyte-free water that would need to be replaced to bring the serum sodium back toward a normal target of 140 mEq/L. For example, a calculated deficit of 4 liters means the patient has lost approximately 4 liters of free water relative to their current total body water.

This value is an estimate and a starting point for fluid replacement planning — it does not account for ongoing losses (insensible losses, urine output, ongoing osmotic diuresis) that continue during the correction period. The total fluid requirement will typically exceed the calculated deficit because these ongoing losses must be replaced simultaneously. Frequent monitoring of serum sodium (every 4–6 hours during active correction) is essential to ensure safe and adequate replacement.

When to Use This Tool

Use the free water deficit calculator when managing a patient with hypernatremia (serum sodium > 145 mEq/L) who requires free water replacement. It is most commonly applied in the ICU, inpatient wards, and emergency department when planning fluid replacement for patients with hypernatremia due to dehydration, diabetes insipidus, osmotic diuresis, or inadequate free water intake (common in elderly or critically ill patients who cannot drink independently).

The calculation is a standard component of the nephrology and critical care approach to hypernatremia management. It helps determine how much free water to administer over a defined correction period, which is then used to set an hourly infusion rate for hypotonic fluids (D5W or 0.45% saline) or to guide enteral free water administration via feeding tube.

Limitations

The free water deficit formula assumes a static state and does not account for ongoing water losses. Patients with active diuresis, fever, tachypnea, or gastrointestinal losses will continue losing free water during the correction period, and the actual replacement volume needed may be significantly higher than the calculated deficit. A comprehensive fluid plan must include both the deficit replacement and an estimate of ongoing losses.

The total body water (TBW) estimation used in the formula (60% for males, 50% for females) is an approximation that may be inaccurate in elderly patients (who have lower TBW fraction), obese patients (adipose tissue contains less water), or edematous patients. The rate of correction is critically important — for chronic hypernatremia (developing over more than 48 hours), sodium should not be lowered by more than 10–12 mEq/L per 24 hours to avoid cerebral edema. For acute hypernatremia (< 48 hours duration), faster correction is safer. The formula provides a volume target but does not itself dictate the rate, which requires clinical judgment based on the chronicity of the hypernatremia.

Disclaimer: This tool is for educational and informational purposes only. It is not a substitute for professional medical advice, diagnosis, or treatment. Always consult a qualified healthcare provider with questions about your health.

Changelog

  1. April 21, 2026 · trust-baseline

    Clinical trust metadata enabled for this tool page with structured review/version fields.

Frequently Asked Questions