For the reaction $2 \mathrm{NO}_2(\mathrm{~g}) \mathrm{N}_2 \mathrm{O}_4(\mathrm{~g})$, when $\Delta \mathrm{S}=-176.0 \mathrm{JK}^{-1}$ and $\Delta \mathrm{H}=-57.8 \mathrm{~kJ} \mathrm{~mol}^{-1}$, the magnitude of $\Delta \mathrm{G}$ at 298 K for the reaction is $\_\_\_\_$ $\mathrm{kJ} \mathrm{mol}{ }^{-1}$. (Nearest integer)