求 pH:HCO₃⁻=24,PaCO₂=40 → pH = 7.40 pH = 6.1 + log10(24/(0.03×40)) = 6.1 + log10(20) = 6.1 + 1.301 = 7.40。教科书正常值。线性 Henderson:[H⁺] = 24×40/24 = 40 nmol/L(对应 pH 7.40)。{"result":"pH = 6.1 + log10(24 / (0.03 × 40)) = 7.40","metadata":{"input":{"hco3":24,"paco2":40},"result":{"ph":7.4,"hco3":24,"paco2":40,"solved":"ph","hydrogenIon":40,"hendersonPh":7.4,"category":"Normal acid-base (pH 7.35–7.45)","method":"pH = 6.1 + log10(HCO₃⁻ / (0.03 × PaCO₂))","model":"Henderson 1908; Hasselbalch 1916; Siggaard-Andersen 1974; LITFL; StatPearls; Berend 2016. Not medical advice."}}}
求 PaCO₂:pH=7.20,HCO₃⁻=20 → PaCO₂ ≈ 52.96 mmHg PaCO₂ = 20/(0.03×10^(1.10)) = 20/0.378 = 52.96 mmHg。患者酸血症(pH 7.20)伴 PaCO₂ ~52.96——代谢+呼吸性酸中毒并存。{"result":"PaCO₂ = 20 / (0.03 × 10^(7.20 − 6.1)) = 52.96 mmHg","metadata":{"input":{"ph":7.2,"hco3":20},"result":{"ph":7.2,"hco3":20,"paco2":52.96,"solved":"paco2","hydrogenIon":63.55,"hendersonPh":7.2,"category":"Acidemia (pH < 7.35)","method":"PaCO₂ = HCO₃⁻ / (0.03 × 10^(pH − 6.1))","model":"Henderson 1908; Hasselbalch 1916; Siggaard-Andersen 1974; LITFL; StatPearls; Berend 2016. Not medical advice."}}}