(Solved): The base protonation constant \( K_{b} \) of \( 1-\mathrm{H} \)-imidazole \( \left(\mathrm{C}_{3} \ ...

The base protonation constant \( K_{b} \) of \( 1-\mathrm{H} \)-imidazole \( \left(\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{~N}_{2}\right) \) is \( 9.0 \times 10^{-8} \). Calculate the \( \mathrm{pH} \) of a \( 0.27 \mathrm{M} \) solution of \( 1-\mathrm{H} \)-imidazole at \( 25^{\circ} \mathrm{C} \). Round your answer to 1 decimal place.