Answer
$\Delta G^{\circ}_{rxn}=-1161\,kJ$
The reaction is spontaneous.
Work Step by Step
$\Delta G^{\circ}_{rxn}=\Delta H^{\circ}_{rxn}-T\Delta S^{\circ}_{rxn}$
$=-1269.8\,kJ-[(25+273.15)K](-364.6\,J/K)$
$=(-1269.8\times10^{3}\,J)+(298.15\times364.6\,J)$
$=-1161\times10^{3}\,J=-1161\,kJ$
The reaction is spontaneous because $\Delta G^{\circ}_{rxn}$ is negative.
