Respiratory Dead Space Calculator

Enter PaCO2, PeCO2, and tidal volume to calculate Vd/Vt ratio and absolute dead space volume using the Bohr equation.

Bohr Equation Inputs

From arterial blood gas. Normal: 35–45 mmHg.

Mean expired CO2 — use ventilator measurement, not EtCO2.

Measured tidal volume. Typical ICU setting: 400–600 mL.

Optional — Anatomical Estimate

Estimates anatomical dead space at ~2.2 mL/kg.

Vd/Vt Ratio

Absolute Dead Space (Vd)

Alveolar Volume (Va)

Effective portion of tidal volume reaching alveoli.

Bohr Equation

Vd/Vt = (PaCO₂ − PēCO₂) / PaCO₂

Vd = Vd/Vt × Vt  |  Va = Vt − Vd

Summary

Enter PaCO2, PeCO2, and tidal volume to calculate Vd/Vt ratio and absolute dead space volume using the Bohr equation.

How it works

  1. Enter arterial CO2 (PaCO2) from an arterial blood gas (ABG) result.
  2. Enter mixed expired CO2 (PeCO2) from your ventilator or capnography reading.
  3. Enter the tidal volume (Vt) set on the ventilator or measured spirometrically.
  4. The calculator applies the Bohr equation: Vd/Vt = (PaCO2 − PeCO2) / PaCO2.
  5. Absolute dead space volume is derived as Vd = Vd/Vt × Vt.
  6. Optionally enter body weight to estimate anatomical dead space (≈2.2 mL/kg).

Use cases

  • Assess ventilation efficiency in mechanically ventilated ICU patients.
  • Guide ventilator weaning decisions when Vd/Vt is trending down.
  • Evaluate severity of pulmonary embolism or ARDS using dead-space fraction.
  • Compare physiological vs. anatomical dead space to quantify alveolar dead space.
  • Monitor treatment response in ARDS patients over serial measurements.
  • Estimate dead space in spontaneously breathing patients via capnography.

Frequently Asked Questions

Last updated: 2026-07-24 · Reviewed by Nham Vu