The question asks which compound in the Ellingham diagram has a negative change in Gibbs free energy (\( \Delta G \)) that becomes more and more negative with increasing temperature.
The Ellingham diagram plots the change in Gibbs free energy (\( \Delta G \)) for various reactions as a function of temperature. The slope of the line represents how the favorability of the reaction changes with temperature. - If the slope is negative, the reaction becomes more favorable (more negative \( \Delta G \)) at higher temperatures. - If the slope is positive, the reaction becomes less favorable as the temperature increases.
-(A) CO: Carbon monoxide is formed by reducing carbon dioxide. In the Ellingham diagram, the formation of CO has a **negative slope**, meaning its formation becomes more favorable as the temperature increases, and \( \Delta G \) becomes more negative at higher temperatures.
- (B) FeO: The formation of iron oxide (FeO) typically has a **positive slope**, meaning its formation becomes less favorable with increasing temperature.
- (C) ZnO: Zinc oxide formation also has a **positive slope**, so it becomes less favorable as the temperature increases.
- (D) Cu₂O: Copper(I) oxide formation similarly shows a **positive slope**, meaning it becomes less favorable at higher temperatures.
The compound whose formation in the Ellingham diagram becomes more negative with increasing temperature is CO, as it has a negative slope.
Correct Answer: Option (A): CO
In an Ellingham diagram, the change in the Gibbs free energy (ΔGo) is plotted against temperature. The slope of the graph is an indicator of the entropy change (ΔSo) for the reaction. A negative slope indicates that the reaction becomes more favorable at higher temperatures.
The reaction for the formation of CO from carbon involves a decrease in entropy (ΔSo is negative), which means the ΔGo becomes more negative with increasing temperature.
Therefore, in the Ellingham diagram, the line for the formation of CO shows a decreasing value of ΔGo as temperature increases, indicating that CO is increasingly favored at higher temperatures.
Hence, the correct answer is (A): CO.
A sample of n-octane (1.14 g) was completely burnt in excess of oxygen in a bomb calorimeter, whose heat capacity is 5 kJ K\(^{-1}\). As a result of combustion, the temperature of the calorimeter increased by 5 K. The magnitude of the heat of combustion at constant volume is ___
A perfect gas (0.1 mol) having \( \bar{C}_V = 1.50 \) R (independent of temperature) undergoes the above transformation from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1 to point 4 is ____ J (nearest integer) [Given : R = 0.082 L atm K\(^{-1}\)] 