U01.21.032 Henderson–Hasselbalch Equation (for Extracellular pH)

Learning Objective:
Understand and apply the Henderson–Hasselbalch equation to calculate blood pH using bicarbonate concentration and arterial P_{CO_2}.


Formula:

pH = 6.1 + \log \left( \frac{[HCO_3^-]}{0.03 \times P_{CO_2}} \right)


Explanation:

  • [HCO_3^-] = plasma bicarbonate concentration (mEq/L)
  • P_{CO_2} = partial pressure of CO₂ in arterial blood (mm Hg)
  • 0.03 = solubility constant of CO₂ in blood (mmol/L·mm Hg)

This equation relates pH, bicarbonate (metabolic component), and CO₂ (respiratory component) — forming the foundation of acid–base balance assessment.


Concept Summary:

  • [HCO_3^-]Metabolic alkalosis
  • [HCO_3^-]Metabolic acidosis
  • P_{CO_2}Respiratory acidosis
  • P_{CO_2}Respiratory alkalosis

Example:

Given:
[HCO_3^-] = 24 \text{ mEq/L}
P_{CO_2} = 40 \text{ mm Hg}

pH = 6.1 + \log \left( \frac{24}{0.03 \times 40} \right)
pH = 6.1 + \log(20)
pH = 6.1 + 1.3 = 7.4

Answer: Normal extracellular pH = 7.4


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