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Q. Calculate $\Delta G$ for the given reaction at $298\, K$ under given conditions :
$N _2 O _{4(g)}=2 NO _{2(g)}$
The reaction is carried out at $298\, K$ and $20$ bar. $5$ moles each of $N _2 O _4$ and $NO _2$ are taken initially.
$\left(\Delta G_{N_2 O_4}^{\circ}=100\, kJ / mol , \Delta G_{N_2}^{\circ}=50\, kJ / mol \right)$

Thermodynamics

Solution:

$\Delta G_{\text {Reaction }}=\Sigma \Delta G_{f(\text { Product })}^{\circ}-\Sigma \Delta G_{f(\text { Reactant })}^{\circ}$
$=2 \times 50-100=0$