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Arterial Blood Gas Calculator

Arterial blood gas calculator works out Primary acid-base disorder and Expected compensation from What to compute, pH and PaCO2. The default figures on this page give primary acid-base disorder of Metabolic acidosis; change any entry and the result, the working and the sources update together.

Primary acid-base disorder
Metabolic acidosis
Arterial Blood Gas (ABG) Calculator
Expected compensation
Winters: expected PaCO2 = 1.5 x 10 + 8 = 23 +/- 2 mmHg
Is the compensation appropriate?
Measured PaCO2 24 lies inside the expected 21-25: appropriate compensation, no second disorder implied.
Anion gap
30.0 mmol/L
Albumin-corrected anion gap
30.0 mmol/L
Delta-delta
4.0 mmol/L
What the delta-delta says
Between -5 and +5: a pure high-anion-gap metabolic acidosis.
pH implied by HCO3 and PaCO2
7.243
Alveolar PO2 (PAO2)
119.7 mmHg
A-a difference
29.7 mmHg
Age-expected A-a difference
14.0 mmHg
PaO2 / FiO2
428.6 mmHg
Berlin ARDS category by P/F
Above the Berlin ARDS P/F threshold of 300 mmHg
Arterial oxygen content (CaO2)
18.47 mL O2/dL
Oxygenation index
2.80
Worked out from Berend K, de Vries APJ, Gans ROB. Physiological approach to assessment of acid-base disturbances and 4 other sources.
The reference range for the anion gap is analyser-specific and is reported anywhere from 3-12 to 8.5-15 mmol/L; use your own laboratory's range rather than a textbook one.
An arithmetic aid to reading a blood gas, not an interpretation of a patient. Compensation formulas are empirical population rules with wide bands, laboratory reference ranges differ between analysers, and a normal-looking gas can hide two opposing disorders. Clinical interpretation belongs to a clinician with the patient in front of them.

Your figures

Updates as you type
The anion gap is corrected upward by 2.5 mmol/L for each 1 g/dL below 4.0.
Berend 2014 uses the full rise in the anion gap for ketoacidosis and 0.6 times it for lactic acidosis.
As a fraction: 0.21 is room air.
Sea level is 760 mmHg; altitude lowers it and lowers the alveolar PO2 with it.
Quoted between 1.34 and 1.39 depending on the source; it is an input so the choice is visible.
Oxygenation index only.

How this is worked out

7 steps
  1. pH 7.24 against the reference 7.40 +/- 0.02: acidaemia.
  2. PaCO2 24 mmHg, HCO3 10 mmol/L. Primary disorder: Metabolic acidosis.
  3. Winters: expected PaCO2 = 1.5 x 10 + 8 = 23 +/- 2 mmHg
  4. Measured PaCO2 24 lies inside the expected 21-25: appropriate compensation, no second disorder implied.
  5. Anion gap = Na - (Cl + HCO3) = 140 - (100 + 10) = 30 mmol/L.
  6. Albumin is 4.0 g/dL, so no correction is needed.
  7. Henderson-Hasselbalch check: 6.1 + log10(10 / (0.03 x 24)) = 7.243.

Its 6 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

5 sources
Berend K, de Vries APJ, Gans ROB. Physiological approach to assessment of acid-base disturbances
N Engl J Med 2014;371(15):1434-1445 · Table 1: metabolic acidosis expected PaCO2 = 1.5[HCO3] + 8 +/- 2; metabolic alkalosis expected PaCO2 = 0.7([HCO3] - 24) + 40 +/- 2; acute respiratory acidosis HCO3 +1 per 10 mmHg above 40, chronic +4 to 5; acute respiratory alkalosis HCO3 -2 per 10 mmHg below 40, chronic -4 to 5. Reference values pH 7.40 +/- 0.02, PaCO2 38 +/- 2 mmHg, HCO3 24 +/- 2 mmol/L. Figure 1: A-a difference at sea level on room air = 150 - PaO2 - 1.25 PaCO2, normally <= 10 mmHg (<= 20 in the elderly); correct the anion gap upward by 2.5 mmol/L per 1 g/dL fall in albumin; delta-delta thresholds of -5 and +5 mmol/L.
Albert MS, Dell RB, Winters RW. Quantitative displacement of acid-base equilibrium in metabolic acidosis
Ann Intern Med 1967;66(2):312-322 · The original derivation of Winters' formula for the expected respiratory compensation in metabolic acidosis.
Figge J, Jabor A, Kazda A, Fencl V. Anion gap and hypoalbuminemia
Crit Care Med 1998;26(11):1807-1810 · The albumin-corrected anion gap: the calculated gap rises by roughly 2.3-2.5 mmol/L for each 1 g/dL fall in serum albumin.
ARDS Definition Task Force. Acute respiratory distress syndrome: the Berlin definition
JAMA 2012;307(23):2526-2533 · PaO2/FiO2 thresholds of 300, 200 and 100 mmHg for mild, moderate and severe ARDS at a PEEP of at least 5 cm H2O.
West JB. Respiratory Physiology: The Essentials - the alveolar gas equation and oxygen carriage
10th edition, Wolters Kluwer, 2016 · PAO2 = FiO2 (Pb - PH2O) - PaCO2 / R with PH2O 47 mmHg at 37 C and R about 0.8; oxygen content = (Hufner constant x Hb x SaO2) + (solubility x PaO2), with the Hufner constant quoted between 1.34 and 1.39 mL O2 per gram of haemoglobin.

What the arterial blood gas calculator calculates

Interprets an arterial blood gas: identifies the primary acid-base disorder, computes the expected compensation and flags a superimposed second disorder, calculates the anion gap with albumin correction and the delta-delta, and works the alveolar gas equation, A-a difference, P/F ratio, arterial oxygen content and oxygenation index.

How to use this arterial blood gas calculator

Enter What to compute, pH, PaCO2 and Bicarbonate (HCO3-). Primary acid-base disorder updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Primary acid-base disorder, Expected compensation and Is the compensation appropriate?.

The method follows Berend K, de Vries APJ, Gans ROB. Physiological approach to assessment of acid-base disturbances, Albert MS, Dell RB, Winters RW. Quantitative displacement of acid-base equilibrium in metabolic acidosis, Figge J, Jabor A, Kazda A, Fencl V. Anion gap and hypoalbuminemia, ARDS Definition Task Force. Acute respiratory distress syndrome: the Berlin definition and West JB. Respiratory Physiology: The Essentials - the alveolar gas equation and oxygen carriage.

Diabetic ketoacidosis with appropriate respiratory compensation example

With What to compute: interpret, pH: 7.24, PaCO2: 24, Bicarbonate (HCO3-): 10, the calculator returns Primary acid-base disorder: Metabolic acidosis, Anion gap: 30, Albumin-corrected anion gap: 30. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Primary acid-base disorder, Expected compensation and Is the compensation appropriate?. The inputs you can vary are What to compute, pH, PaCO2, Bicarbonate (HCO3-), Sodium and Chloride.

Understanding Primary acid-base disorder, Expected compensation and Is the compensation appropriate?

An arithmetic aid to reading a blood gas, not an interpretation of a patient. Compensation formulas are empirical population rules with wide bands, laboratory reference ranges differ between analysers, and a normal-looking gas can hide two opposing disorders. Clinical interpretation belongs to a clinician with the patient in front of them.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

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Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

How to calculate arterial blood gas?

Interprets an arterial blood gas: identifies the primary acid-base disorder, computes the expected compensation and flags a superimposed second disorder. Open “How this is worked out” beside the result to see each step for your own figures.

What is the formula for calculating arterial blood gas compensation?

Interprets an arterial blood gas: identifies the primary acid-base disorder, computes the expected compensation and flags a superimposed second disorder. On this page it is computed from What to compute, pH and PaCO2 and shown as Primary acid-base disorder, Expected compensation and Is the compensation appropriate?.

What is the normal range for arterial blood gas levels?

On the figures this page opens with — pH 7.24, paCO2 24 mmHg, bicarbonate (HCO3-) 10 mmol/L and sodium 140 mmol/L — the primary acid-base disorder is Metabolic acidosis. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.

What information do I need for the arterial blood gas calculator?

You need What to compute, pH, PaCO2, Bicarbonate (HCO3-), Sodium, Chloride, Serum albumin and PaO2. The page opens with default figures that give primary acid-base disorder of Metabolic acidosis, so you can see the scale before entering your own.

What does this arterial blood gas calculator show?

It shows Primary acid-base disorder, Expected compensation, Is the compensation appropriate?, Anion gap, Albumin-corrected anion gap, Delta-delta, What the delta-delta says and pH implied by HCO3 and PaCO2, with the working and any warnings for your entries.

Can I check how the arterial blood gas calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

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