Chapter 13, Problem 50E

For the reaction below, ${\Delta }_{t}G°=29.05\text{kJ}{\text{mol}}^{-1}$ at 298 K.

${\text{NH}}_3\left(\text{aq}\right)+{\text{H}}_{\text{2}}\text{O}\left(l\right)\rightleftharpoons {\text{NH}}_4^{+}\left(\text{aq}\right)+{\text{OH}}^{-}\left(\text{aq}\right)$

Use this thermodynamic quantity to decide in which direction the reaction is spontaneous when the concentrations of ${\text{NH}}_{\text{2}}\left(\text{aq}\right){\text{,NH}}_{\text{4}}^{\text{+}}\left(\text{aq}\right)$ , and ${\text{OH}}^{-}$ are 0.10M, $1.0\times {10}^{-2}\text{M}$ , and $1.0\times {10}^{-2}\text{M}$ , respectively.