Calculate \(\left[\mathrm{CO}_{3}^{2-}\right]\) in a \(0.010-M\) solution of
\(\mathrm{CO}_{2}\) in water (usually written as \(\mathrm{H}_{2}
\mathrm{CO}_{3}\) ). If all the \(\mathrm{CO}_{3}{ }^{2-}\) in this solution
comes from the reaction
$$\mathrm{HCO}_{3}^{-}(a q) \rightleftharpoons \mathrm{H}^{+}(a
q)+\mathrm{CO}_{3}^{2-}(a q)$$
what percentage of the \(\mathrm{H}^{+}\) ions in the solution is a result of
the dissociation of \(\mathrm{HCO}_{3}^{-} ?\) When acid is added to a solution
of sodium hydrogen carbonate \(\left(\mathrm{NaHCO}_{3}\right)\), vigorous
bubbling occurs. How is this reaction related to the existence of carbonic
acid \(\left(\mathrm{H}_{2} \mathrm{CO}_{3}\right)\) molecules in aqueous
solution?