Consider the reduction of hydroxyl amine in an acid solution:

\[\mathrm{NH}_{3} \mathrm{OH}^{+}+2 \mathrm{H}^{+}+2 \mathrm{e}^{-} ightleftarrows \mathrm{NH}_{4}^{+}+\mathrm{H}_{2} \mathrm{O} \quad E^{\mathrm{o}}=1.35 \mathrm{~V}\]

(a) Write the Nernst equation for the half reaction.

(b) Calculate the formal potential for the same half reaction at a \(\mathrm{pH}\) of 2 and assuming unit activity coefficients.