Chapter 13, Problem 49E

For the reaction below, ${\Delta }_{t}G°=27.07\text{kJ}{\text{mol}}^{-1}$ at 298 K.

${\text{CH}}_3{\text{CO}}_2\left(\text{aq}\right)+{\text{H}}_2\text{O}\left(\text{l}\right)\rightleftharpoons {\text{CH}}_3{\text{CO}}_2^{-}\left(\text{aq}\right)+{\text{H}}_3{\text{O}}^{+}\left(\text{aq}\right)$

Use this thermodynamic quantity to decide in which direction the reaction is spontaneous when the concentrations of ${\text{CH}}_{\text{2}}{\text{CO}}_{\text{2}}\text{H}\left(\text{aq}\right){\text{CH}}_{\text{3}}{\text{CO}}_{\text{2}}^{\text{-}}\left(\text{aq}\right)$ and ${\text{H}}_2{\text{O}}^{+}\left(\text{aq}\right)$ are 0.10M, $1.0\times {10}^{-2}\text{M}$ , $1.0\times {10}^{-1}\text{M}$ , respectively.