Chapter 13, Problem 32E

At 298 K, for the reaction ${\text{2H}}^{+}\left(\text{aq}\right)+2{\text{Br}}^{-}\left(\text{aq}\right)+2{\text{NO}}_2\left(g\right)\to {\text{Br}}_2\left(\text{l}\right)+2{\text{HNO}}_2\left(\text{aq}\right),$ ${\Delta }_t{H}^{°}=-61.6\text{kJ}{\text{mol}}^{-1}$ and the standard molar entropies are ${\text{H}}^{\text{+}}\left(aq\right),0\text{J}{\text{mol}}^{-1}{K}^{-1};{\text{Br}}^{-}\left(aq\right),82.4\text{J}{\text{mol}}^{\text{-1}}{\text{K}}^{-1};{\text{NO}}_2\left(\text{g}\right)$ , $240.1\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$ , ${\text{Br}}_{\text{2}}\left(\text{l}\right)$ , 152.2J mol-¹K-1. Determine (a) ${\Delta }_{\text{t}}\text{G}°$ at 298 K and (b) whether the reaction proceeds spontaneously in the forward or the reverse direction when reactants and products are in their standard states.