Dead Space Calculator (Bohr–Enghoff)

Quick answer

The dead space calculator estimates the fraction of each breath that does not take part in gas exchange (VD/VT) from arterial and mixed expired CO₂, with the Bohr–Enghoff equation, and the dead space volume.

mmHg
mmHg
Dead space fraction (VD/VT)
38 %
Raised
Dead space volume
170 mL
Alveolar volume per breath
280 mL

Normally about 30% of each breath stays in the airways. Dead space rises in pulmonary embolism, emphysema, ARDS and with high ventilator pressures; a high dead space fraction in ARDS predicts higher mortality.

How to use the Dead Space Calculator

  1. PaCO₂
  2. Mixed expired PCO₂
  3. Tidal volume

Results update as you type, and every field accepts the units shown in its menu.

How it works

Enter arterial PaCO₂, mixed expired PCO₂ (from volumetric capnography or a collected sample) and tidal volume.

Inputs explained

Field What to enter
PaCO₂ In mmHg
Mixed expired PCO₂ In mmHg
Tidal volume Units: mL, L, fl oz

What each result means

  • Dead space fraction (VD/VT) = ([PaCO₂] – [Mixed expired PCO₂])÷[PaCO₂]×100
  • Dead space volume = [Dead space fraction (VD÷VT)]÷100×[Tidal volume]
  • Alveolar volume per breath = [Tidal volume] – [Dead space volume]

Example values

How the main result changes when PaCO₂ changes and everything else stays at the example values above:

PaCO₂ (mmHg) Dead space fraction (VD/VT) (%)
22.5 -24
33.75 17
45 38
56.25 50
67.5 59
90 69

Health note: this calculator is for education and screening only and is not a diagnosis or treatment advice. Discuss your results with a qualified clinician.

Formula

VD/VT = (PaCO₂ − PECO₂) ÷ PaCO₂ Dead space volume = VD/VT × tidal volume

Worked example

Inputs — PaCO₂: 45 mmHg; Mixed expired PCO₂: 28 mmHg; Tidal volume: 450 mL.
Results — Dead space fraction (VD/VT) = 38 %; Dead space volume = 170 mL; Alveolar volume per breath = 280 mL.

Key terms

VD/VT
Dead space to tidal volume ratio.

Frequently asked questions

What is a normal dead space fraction?

About 0.2–0.35 in healthy adults.

What raises dead space?

Pulmonary embolism, emphysema, ARDS, low cardiac output and high PEEP.

What is the difference between Bohr and Enghoff?

Bohr uses alveolar PCO₂; Enghoff substitutes arterial PaCO₂.

Sources

  1. Nuckton TJ et al. Pulmonary dead-space fraction as a risk factor for death in ARDS. N Engl J Med, 2002

Cite this calculator

Speedy Calculator. (2026). Dead Space Calculator (Bohr–Enghoff). Speedy Calculator. https://speedycalculator.com/calculators/health/dead-space/