Predict whether it is possible or not to reduce magnesium oxide using carbon at `298K` according to the reaction. `MgO(s) +C(s) rarr Mg(s) +CO(g)` `Delta_(r)H^(Theta) = +491.18 kJ mol^(-1)` and `Delta_(r)S^(Theta) = 197.67 J K^(-1) mol^(-1)` If not at what temperature, the reaction becomes spontaneous.

Predict whether it is possible or not to reduce magnesium oxide using

1.	Predict whether it is possible or not to reduce magnesium oxide using carbon at `298K` according to the reaction. `MgO(s) +C(s) rarr Mg(s) +CO(g)` `Delta_(r)H^(Theta) = +491.18 kJ mol^(-1)` and `Delta_(r)S^(Theta) = 197.67 J K^(-1) mol^(-1)` If not at what temperature, the reaction becomes spontaneous.
Answer» `MgO_((s))+C_((s))toMg_((s))+CO_((g))` `DeltaG^(@)=DeltaH^(@)-TDeltaS^(@)` `=491.18-298xx[197.67xx10^(-3)]` `=432.27 kJ` Thus reaction is non-spontaneous at `298 K`. For spontaneous nature `DeltaG^(@)=-ve i.,e TDeltaS^(@)gtDeltaH^(@)` or `Txx[197.67xx10^(-3)]gt491.18` or `Tgt491.18/(197.67xx10^(-3))gt2484.8 K`

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