For a reaction, $4 M (s) + {nO}_{2} (g) \to 2 M_{2} O_{n} (s)$ the free energy change is plotted as a function of temperature. The temperature below which the oxide is stable could be inferred from the plot as the point at which

The free energy change shows a change from negative to positive value.

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The slope changes from positive to zero.

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The slope changes from positive to negative.

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The slope changes from negative to positive.

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Solution

The correct option is A
The free energy change shows a change from negative to positive value.

Explanation for the correct option:
A) the free energy change shows a change from a negative to a positive value.
According to the Ellingham plot, it is a curve that denotes the reaction between Gibbs energy and temperature $∆ G = ∆ H - T ∆ S$ .
The curve line of the diagram shows the stability of the compound. The slope of the reaction is a straight line but the temperature at which the phase changes lead to a positive increase.
When the value of it forms stable oxide while the $+ ve ∆ G$ forms unstable oxide.
So, option A is correct the free energy change shows a change from negative to a positive value.
Explanation for the incorrect options:
B) The above explanation clearly shows that slope change indicates the temperature at which phase of the chemical reaction changes and the slope can't change from positive to zero. Hence option B is incorrect.
C)The above explanation clearly shows that slope change indicates the temperature at which phase of the chemical reaction changes and the slope can't change from positive to negative. Hence option C is incorrect.
D)The above explanation clearly shows that slope change indicates the temperature at which phase of the chemical reaction changes and the slope can't change from negative to positive. Hence option D is incorrect.

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For a reaction,4M(s)+nO2(g)→2M2On(s) the free energy change is plotted as a function of temperature. The temperature below which the oxide is stable could be inferred from the plot as the point at which

For a reaction, $4 M (s) + {nO}_{2} (g) \to 2 M_{2} O_{n} (s)$ the free energy change is plotted as a function of temperature. The temperature below which the oxide is stable could be inferred from the plot as the point at which