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Free Water Deficit in Hypernatremia

Free water deficit = total body water × (Na/140 − 1), with TBW = 0.6 × weight (men), 0.5 (women, older men), 0.45 (older women). Correct chronic hypernatraemia by no more than about 10 mmol/L per 24 h, and add ongoing losses.

  • Serum sodium (mmol/L or mEq/L)
  • Weight (kg or lb)
  • Age (years)
  • Sex: Male; Female
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Interpretation

ResultMeaning
> 0 LWater deficit; replace gradually
≤ 0 LNo deficit

Formula

FWD (L) = TBW × (Na⁺/140 − 1). TBW = weight × 0.6 (children and men <65), 0.5 (women <65, men ≥65), 0.45 (women ≥65).

Clinical pearls

  • The formula ignores ongoing losses (urine, GI, insensible); add them to the replacement plan.
  • Rapid correction of chronic hypernatraemia risks cerebral oedema; acute (<48 h) hypernatraemia can be corrected faster.
  • Recheck sodium every 4–6 hours early in therapy.

Examples

FAQ

How fast should hypernatraemia be corrected?

For chronic hypernatraemia, lower sodium by no more than about 10 mmol/L in 24 hours; acute hypernatraemia (hours) can be corrected more quickly.

What fraction of body weight is water?

About 60% in children and younger men, 50% in younger women and older men, and 45% in older women.

Evidence

  1. Adrogué HJ, Madias NE. Hypernatremia. N Engl J Med 2000;342:1493–9.

Nephrology & Electrolytes · Reviewed 2026-10-14 · Methodology