What are the formulas for respiratory acidosis, respiratory alkalosis, metabolic acidosis, and metabolic alkalosis?

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Formulas for Acid-Base Disorders

The fundamental formulas for acid-base disorders are based on the relationship between carbon dioxide, bicarbonate, and pH, with distinct patterns for respiratory acidosis, respiratory alkalosis, metabolic acidosis, and metabolic alkalosis. 1

Respiratory Acidosis

Respiratory acidosis occurs when there is accumulation of carbon dioxide in the blood due to hypoventilation.

  • Formula: CO₂ + H₂O → H₂CO₃ → H⁺ + HCO₃⁻ 1
  • Characterized by: ↑ PaCO₂, ↓ pH (< 7.35), and normal or ↑ HCO₃⁻ (compensatory) 1
  • In acute respiratory acidosis: minimal compensation occurs, with primarily elevated PaCO₂ and decreased pH 1
  • In chronic respiratory acidosis: renal compensation occurs with bicarbonate retention, resulting in high PaCO₂, high HCO₃⁻, and pH that may approach normal (compensated respiratory acidosis) 1

Respiratory Alkalosis

Respiratory alkalosis results from excessive elimination of carbon dioxide due to hyperventilation.

  • Formula: ↓ CO₂ → ↓ H₂CO₃ → ↓ H⁺ + ↓ HCO₃⁻ 2, 3
  • Characterized by: ↓ PaCO₂, ↑ pH (> 7.45), and normal or ↓ HCO₃⁻ (compensatory) 1, 2
  • In acute respiratory alkalosis: minimal compensation occurs 2
  • In chronic respiratory alkalosis: renal compensation with decreased bicarbonate reabsorption 2

Metabolic Acidosis

Metabolic acidosis occurs due to either increased acid production, decreased acid excretion, or bicarbonate loss.

  • Formula: ↓ HCO₃⁻ → ↓ pH (primary defect is decreased bicarbonate) 1, 4
  • Can be further categorized using the anion gap formula: Anion Gap = [Na⁺ + K⁺] - [Cl⁻ + HCO₃⁻] 4, 5
  • High anion gap metabolic acidosis: accumulation of organic acids (e.g., lactic acid, ketoacids) 3
  • Normal anion gap (hyperchloremic) metabolic acidosis: bicarbonate loss or chloride gain 3
  • Respiratory compensation: ↑ minute ventilation leading to ↓ PaCO₂ 2

Metabolic Alkalosis

Metabolic alkalosis results from either excessive loss of hydrogen ions or gain of bicarbonate.

  • Formula: ↑ HCO₃⁻ → ↑ pH (primary defect is increased bicarbonate) 2, 3
  • Characterized by: ↑ HCO₃⁻, ↑ pH (> 7.45), and normal or ↑ PaCO₂ (compensatory) 1
  • Respiratory compensation: hypoventilation leading to ↑ PaCO₂ 2
  • Can be classified as chloride-responsive (urinary chloride < 10 mEq/L) or chloride-resistant (urinary chloride > 20 mEq/L) 2

Clinical Application and Compensation

  • When assessing acid-base disorders, remember that normal pH range is 7.35-7.45, with acidosis defined as pH < 7.35 and alkalosis as pH > 7.45 1
  • Normal PaCO₂ range is 4.6-6.1 kPa (34-46 mmHg) 1
  • Compensation mechanisms attempt to normalize pH but rarely achieve complete normalization in simple disorders 3
  • Mixed disorders can be identified when compensation is inappropriate for the primary disorder 5

Common Pitfalls to Avoid

  • Failing to recognize mixed acid-base disorders (e.g., respiratory acidosis with metabolic alkalosis) 5, 6
  • Overlooking the relationship between delta anion gap and delta bicarbonate in high anion gap metabolic acidosis 5
  • Treating the acid-base disorder without addressing the underlying cause 4, 3
  • Not considering the time course (acute vs. chronic) when evaluating compensation 1, 2

References

Guideline

Guideline Directed Topic Overview

Dr.Oracle Medical Advisory Board & Editors, 2025

Research

Acid-Base Disorders in the Critically Ill Patient.

Clinical journal of the American Society of Nephrology : CJASN, 2023

Research

Simple acid-base disorders.

The Veterinary clinics of North America. Small animal practice, 1989

Professional Medical Disclaimer

This information is intended for healthcare professionals. Any medical decision-making should rely on clinical judgment and independently verified information. The content provided herein does not replace professional discretion and should be considered supplementary to established clinical guidelines. Healthcare providers should verify all information against primary literature and current practice standards before application in patient care. Dr.Oracle assumes no liability for clinical decisions based on this content.

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