Given the following thermodynamic data, calculate the solubility product of the mineral alunite KAl3(SO4)2(OH)6at 25 oC.

\begin{tabular}{|l|l|l|} \hline Species & Gf0(298K,1bar) & \\ \hline K+ & -16.18 & kJ/mol \\ \hline Al3+ & -28.04 & kJ/mol \\ \hline OH & -8.99 & kJ/mol \\ \hline SO42 & -42.48 & kJ/mol \\ \hline KAl3(SO4)2(OH)6 & -265.63 & kJ/mol \\ \hline & & \\ \hline & R=0.008314 & kJ/molK \\ \hline \end{tabular}