Pharmacology · Calculator

Free Water Deficit (Hypernatremia) Calculator

Estimate the free water deficit needed to correct hypernatremia.

Result
This tool provides an educational estimate only and does not replace clinical judgement, institutional protocol, or pharmacist/physician verification.

Introduction

In hypernatremia, the body has too little water relative to sodium. The free water deficit estimates how much water needs to be replaced to bring sodium back to a target level.

How to use the Free Water Deficit (Hypernatremia) Calculator

Formula and Calculation Method

Free water deficit (L) = Total body water fraction × Weight (kg) × [(Current Na⁺ ÷ Target Na⁺) − 1]

Visual breakdown

FREE WATER DEFICIT (HYPERNATREMIA) — CALCULATION FLOW1TBW fraction ×Weight2× [(Current Na ÷Target Na) − 1]3Free waterdeficit (L)
REFERENCE Correct sodium no faster than 8–10 mEq/L per 24 hours

Why use this calculator

This formula is easy to transpose incorrectly by hand. The calculator computes it directly and shows how the deficit would change if the current sodium reading were slightly different, useful for sensitivity-checking a lab value.

FAQs

Why does sex matter?

Total body water as a fraction of weight differs between sexes (roughly 0.6 for men, 0.5 for women), which scales the deficit.

How fast should the deficit be replaced?

Most guidelines recommend correcting no faster than 8–10 mEq/L in 24 hours to avoid cerebral oedema.

Does this include ongoing losses?

No — this is the free water deficit only; ongoing insensible and urinary losses must be added separately.