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Health Calculators

Free Water Deficit Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
kg
mEq/L
Verified formula Private

Free water deficit

4.20

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Free Water Deficit Calculator

The Free Water Deficit Calculator works out your free water deficit in an instant. Enter body weight, current sodium and body water fraction (0.6 men, 0.5 women) and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the body weight.
  2. Enter the current sodium.
  3. Enter the body water fraction (0.6 men, 0.5 women).
  4. Read off your free water deficit — the calculator updates automatically, with no button to press.

Formula

The Free Water Deficit Calculator uses the formula:

Free water deficit = Body water fraction (0.6 men, 0.5 women) × Body weight × (Current sodium ÷ 140 - 1)

Worked example

For example, with body weight of 70 kg, current sodium of 154 mEq/L and body water fraction (0.6 men, 0.5 women) of 0.6, the free water deficit is 4.20.

Inputs used
Body weight 70 kg
Current sodium 154 mEq/L
Body water fraction (0.6 men, 0.5 women) 0.6
Results
Free water deficit 4.20

Results are estimates for educational use, not professional advice.

Frequently asked questions

It estimates how much water the body is short by when sodium is high, guiding correction of hypernatremia.

Deficit = body water fraction × weight × (current sodium ÷ 140 − 1), giving litres of water needed.

About 0.6 for men and 0.5 for women is common, with lower values used for elderly patients.

Usually slowly, often no more than about 10 mEq/L per day, to avoid complications. A clinician must supervise.

Enter the body weight. Enter the current sodium. Enter the body water fraction (0.6 men, 0.5 women). Read off your free water deficit — the calculator updates automatically, with no button to press.

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