A student was given a \(0.10 \mathrm{M}\) solution of an unknown diprotic acid \(\mathrm{H}_{2} \mathrm{~A}\) and asked to determine the \(K_{\mathrm{a}_{1}}\) and \(K_{\mathrm{a}_{2}}\) values for the diprotic acid. The student titrated 50.0 \(\mathrm{mL}\) of the \(0.10 \mathrm{M} \mathrm{H}_{2} \mathrm{~A}\) with \(0.10 \mathrm{M} \mathrm{NaOH}\). After 25.0 \(\mathrm{mL}\) of \(\mathrm{NaOH}\) was added, the \(\mathrm{pH}\) of the resulting solution was 6.70 . After \(50.0 \mathrm{~mL}\) of \(\mathrm{NaOH}\) was added, the \(\mathrm{pH}\) of the resulting solution was 8.00 . What are the values of \(K_{\mathrm{a}_{1}}\) and \(K_{\mathrm{a}_{2}}\) for the diprotic acid?