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Q. The Gibbs free energy of formation $\left(\left(\Delta \right)_{f} G ^\circ \right)$ for the reaction: $2Mg\left(s\right)+O_{2}\left(g\right) \rightarrow 2MgO\left(s\right)$ is measured and plotted as function of temperature $\left(T\right)$ . Of the $4$ possible graph below, which one would most likely represent the observed trend?
Question

NTA AbhyasNTA Abhyas 2020

Solution:

For reaction: $2Mg\left(s\right)+O_{2}\left(g\right) \rightarrow 2MgO\left(s\right)$
$\Delta _{f}H=-ve$
$\Delta _{f}S=-ve$
$\Delta _{f}G^{^\circ }=\Delta _{f}H^{^\circ }-TΔ_{f}S^{^\circ }$
As $T$ increase, $\triangle _{f}G^\circ $ increase