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Continuing Education in Anaesthesia Critical Care and Pain | Volume 4 Number 1 | 2004
© The Board of Management and Trustees of the British Journal of Anaesthesia 2004

The alveolar gas equation

Steven Cruickshank, BA MB BS FRCA, Consultant Anaesthetist
Department of Anaesthesia, Newcastle General Hospital, Newcastle upon Tyne, NE4 6BE

Nicola Hirschauer, MD(Munich) FRCA, Specialist Registrar
Department of Anaesthesia, Newcastle General Hospital, Newcastle upon Tyne
Tel: 0191 256 3198, Fax: 0191 256 3154, E-mail: stevencruickshank{at}hotmail.com (for correspondence)

The alveolar gas equation (AGE) is well known and relates the alveolar concentration of oxygen FAO2 (or equivalently partial pressure PAO2) to three variables: FIO2, FACO2 and the respiratory quotient (R). However, the AGE predicts an absurdity: if we input a FIO2 sufficiently low, say 0.05 (i.e. a PIO2 of about 5 kPa), into the equation

then for typical values of FACO2 = 0.05 and R = 0.8, a negative value for FAO2 is predicted. Therefore, it is plain that the AGE is not true for all conditions. Where does the AGE come from, and will the derivation explain the problem and define the conditions under which it is true?


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