<s>[INST] In this set of problems we will use the following thermodynamic data:

$Na_3N:_\Delta H^0_f=656.8\ \text{kJ/mol},\ \ S^0_\Delta=131.5\ \text{J/(K mol)},\ \  C_p=143.2\ \text{J/(K mol)}$

$2Na_3N+N_2 \rightarrow 6Na+N_2$

Calculate the entropy change and the Gibbs' free energy change for this reaction at 298 K using the given data.[/INST]