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Table 1 Stewart's six simultaneous equations

From: The meaning of acid–base abnormalities in the intensive care unit – effects of fluid administration

[H+] × [OH-] = K'w

[H+] × [A-] = Ka × HA

[HA] + [A-] = ATOT

[H+-] × [HCO3 -] = Kc × PCO2]

[H+] × [CO3 2-] = Kd × [HCO3

SID + [H+] - [HCO3 -] - [CO3 2-] - [A-] - [OH-] = 0

  1. All K values are known dissociation constants. PCO2, partial CO2 tension; SID, strong ion difference.