The \(\mathrm{pH}\) of human blood is steady at a value of approximately \(7.4\)
owing to the following equilibrium reactions:
\(\mathrm{CO}_{2}(a q)+\mathrm{H}_{2} \mathrm{O}(l) \rightleftharpoons
\mathrm{H}_{2} \mathrm{CO}_{3}(a q) \rightleftharpoons \mathrm{HCO}_{3}^{-}(a
q)+\mathrm{H}^{+}(a q)\) Acids formed during normal cellular respiration react
with the \(\mathrm{HCO}_{3}^{-}\) to form carbonic acid, which is in equilibrium
with \(\mathrm{CO}_{2}(a q)\) and \(\mathrm{H}_{2} \mathrm{O}(l) .\) During
vigorous exercise, a person's \(\mathrm{H}_{2} \mathrm{CO}_{3}\) blood levels
were \(26.3 \mathrm{~m} M\), whereas his \(\mathrm{CO}_{2}\) levels were \(1.63
\mathrm{~m} M .\) On resting, the \(\mathrm{H}_{2} \mathrm{CO}_{3}\) levels
declined to \(24.9 \mathrm{~m} M\). What was the \(\mathrm{CO}_{2}\) blood level
at rest?