Health & Fitness

Free Water Deficit Calculator (Hypernatremia)

Enter the serum sodium, weight and patient group. For clinicians and students.

Your numbers

Your results

Free water deficit (L)
Free water deficit (L)
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Total body water (L)
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Maximum safe sodium fall in 24 h (common limit)
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Free Water Deficit Calculator (Hypernatremia) by TheCalcTools

How the Free Water Deficit Calculator (Hypernatremia) works

Free water deficit = total body water × (current sodium ÷ target sodium − 1). Total body water is estimated as a fraction of weight: 0.6 for adult men and children, 0.5 for women and older men, 0.45 for older women.

Correction should be gradual, as rapid falls in chronic hypernatremia risk cerebral oedema; ongoing losses must be added. This is a teaching estimate, not a treatment plan.

The formula

FWD = TBW × (Na ÷ 140 − 1)

Worked example

Using the default values shown in the calculator:

Serum sodium (mmol/L)155
Weight (kg)70
Patient group (total body water fraction)Adult man (0.6)
Target sodium (mmol/L)140
  1. Sodium 155 in a 70 kg man: deficit 4.50 L.

Result:

Free water deficit (L)4.50
Total body water (L)42.0
Maximum safe sodium fall in 24 h (common limit)About 10 mmol/L per 24 hours in chronic hypernatremia

Frequently asked questions

Why correct slowly?

Brain cells adapt to high sodium; lowering it too fast draws water into them.

Sources and further reading

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This calculator gives general estimates for information and education. It is not medical advice and does not diagnose anything. Talk to a qualified health professional about your own situation. See our disclaimer.