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.
The left and right compartments of a thermally isolated container of length $L$ are separated by a thermally conducting, movable piston of area $A$. The left and right compartments are filled with $\frac{3}{2}$ and 1 moles of an ideal gas, respectively. In the left compartment the piston is attached by a spring with spring constant $k$ and natural length $\frac{2L}{5}$. In thermodynamic equilibrium, the piston is at a distance $\frac{L}{2}$ from the left and right edges of the container as shown in the figure. Under the above conditions, if the pressure in the right compartment is $P = \frac{kL}{A} \alpha$, then the value of $\alpha$ is ____
A wooden block of mass M lies on a rough floor. Another wooden block of the same mass is hanging from the point O through strings as shown in the figure. To achieve equilibrium, the coefficient of static friction between the block on the floor and the floor itself is