Answer:
[tex]\Delta G^{0}[/tex] at 298 K is -101.0 kJ/mol
Explanation:
According to thermodynamic of state, [tex]\Delta G^{0}=\Delta H^{0}-T\Delta S^{0}[/tex]
where, [tex]\Delta G^{0}[/tex], [tex]\Delta H^{0}[/tex], T and [tex]\Delta S^{0}[/tex] represent change in free energy in standard state, change in enthalpy in standard state, temperature in kelvin scale and change in entropy in standard state.
Here, [tex]\Delta H^{0}=-136.9kJ/mol[/tex], T = 298 K and [tex]\Delta S^{0}=-0.1206kJ/(mol.K)[/tex]
So, [tex]\Delta G^{0}=(-136.9kJ/mol)-(298K\times -0.1206\frac{kJ}{mol.K})[/tex]
= -101.0 kJ/mol
So, [tex]\Delta G^{0}[/tex] at 298 K is -101.0 kJ/mol