Using the Thermodynamic Data Provided Below, Calculate K_a2 for H₂CO₃(aq) $\circ$

Multiple Choice

Using the thermodynamic data provided below, calculate K_a2 for H₂CO₃(aq) at 25 ^$\circ$ . $\begin{array}{|l|c|c|}\hline & \Delta \mathrm{H}_{\mathrm{f}}^{\circ}(\mathrm{kJ} / \mathrm{mol}) & \mathrm{S}^{\circ}(\mathrm{J} / \mathrm{K} \cdot \mathrm{~mol}) \\\hline \mathrm{H}^{+}(a q) & 0 & 0 \\\hline \mathrm{H}_{2} \mathrm{CO}_{3}(a q) & -698.7 & 191 \\\hline \mathrm{HCO}_{3}^{-}(a q) & -691.11 & 95.0 \\\hline \mathrm{CO}_{3}^{2-}(a q) & -676.26 & -53.1 \\\hline\end{array}$

A) 4.09 * 10^-11
B) 4.39 * 10^-9
C) 4.59 * 10^-10
D) 4.59 * 10^-11
E) None of the above