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RenalFree Water Deficit

Free Water Deficit Calculator

Estimate free water deficit with an explicit total-body-water coefficient.

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mmol/L
mmol/L

Estimated free water deficit

Static estimate; not a direct infusion volume

Estimated free water deficit

Estimated total body water

TBW coefficient used:

About

This calculator estimates a static free water deficit from total body water (TBW), current sodium, and a user-selected target sodium. The TBW coefficient is explicit because one coefficient does not fit every body composition. The estimate is not a direct infusion volume and does not include ongoing losses, intake, urine electrolyte clearance, or redistribution during treatment.

Formula

Estimated TBW (L) = weight (kg) × selected TBW coefficient
Free water deficit (L) = TBW × (current sodium / target sodium − 1)

Interpretation

Units: Sodium may be entered in mmol/L; sodium values in mEq/L are numerically equivalent for this equation. Pounds are converted to kilograms before TBW is estimated.

Worked example: Sodium 160 mmol/L, target 140 mmol/L, 70 kg, and coefficient 0.6 gives TBW 42 L and an estimated deficit of 6 L.

Limitations: This is a snapshot under a constant-total-body-sodium assumption. It does not calculate a correction rate, choose a fluid, or recommend a treatment plan.

References

  1. Merck Manual Professional Edition. Hypernatremia: water-deficit equation and assumptions.
  2. Merck Manual Professional Edition. Water and Sodium Balance: total body water compartments and estimation.

FAQ

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Disclaimer

Educational and informational reference only. Not intended to replace professional medical advice, diagnosis, treatment, or independent verification.