Answer:
(a)\[\Delta
G_{\operatorname{Re}action}^{{}^\circ }=\Sigma {{\Delta
}_{f}}G_{\text{Products}}^{\text{ }\!\!{}^\circ\!\!\text{ }}-\Sigma {{\Delta
}_{f}}G_{\text{Reactants}}^{\text{ }\!\!{}^\circ\!\!\text{ }}\]
\[={{\Delta
}_{f}}{{G}^{{}^\circ }}N{{O}_{2}}-[{{\Delta }_{f}}{{G}^{{}^\circ }}NO+\frac{1}{2}{{\Delta
}_{f}}{{G}^{{}^\circ }}{{O}_{2}}]\]
\[=52-[87+\frac{1}{2}\times
0]=-35kJ\]
(b)\[{{K}^{{}^\circ
}}=Anti\log \left( \frac{-\Delta {{G}^{{}^\circ }}}{2.303RT} \right)\]
\[=Anti\log
\left( \frac{35000}{2.303\times 8.314\times 298} \right)\]
\[=1.36\times {{10}^{6}}\]
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