c
\(\operatorname{In}\left[\frac{ k _{2}}{ k _{1}}\right]=\frac{\Delta H ^{\circ}}{ R }\left\{\frac{1}{ T _{1}}-\frac{1}{ T _{2}}\right\}\)

\(\ln (10)=\frac{\Delta H ^{\circ}}{ R }\left\{\frac{1}{298}-\frac{1}{373}\right\}\)

\(373 \times 298 \times R \times 2.303=\Delta H ^{\circ}=28.37 kJ mol ^{-1}\)

\(\Delta G _{ T _{1}}^{\circ}=- RT _{1} \ln \left( K _{1}\right)=-298 R \ln (10)=-5.71 k mol ^{-1}\)

\(\Delta G _{ T _{2}}^{\circ}=- RT _{2} \ln \left( K _{2}\right)=-373 R \ln (100)\)

\(=-14.283 kJ / mol\)