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 ____
An ideal monatomic gas of $ n $ moles is taken through a cycle $ WXYZW $ consisting of consecutive adiabatic and isobaric quasi-static processes, as shown in the schematic $ V-T $ diagram. The volume of the gas at $ W, X $ and $ Y $ points are, $ 64 \, \text{cm}^3 $, $ 125 \, \text{cm}^3 $ and $ 250 \, \text{cm}^3 $, respectively. If the absolute temperature of the gas $ T_W $ at the point $ W $ is such that $ n R T_W = 1 \, J $ ($ R $ is the universal gas constant), then the amount of heat absorbed (in J) by the gas along the path $ XY $ is 
Two identical plates $ P $ and $ Q $, radiating as perfect black bodies, are kept in vacuum at constant absolute temperatures $ T_P $ and $ T_Q $, respectively, with $ T_Q<T_P $, as shown in Fig. 1. The radiated power transferred per unit area from $ P $ to $ Q $ is $ W_0 $. Subsequently, two more plates, identical to $ P $ and $ Q $, are introduced between $ P $ and $ Q $, as shown in Fig. 2. Assume that heat transfer takes place only between adjacent plates. If the power transferred per unit area in the direction from $ P $ to $ Q $ (Fig. 2) in the steady state is $ W_S $, then the ratio $ \dfrac{W_0}{W_S} $ is ____. 
Considering ideal gas behavior, the expansion work done (in kJ) when 144 g of water is electrolyzed completely under constant pressure at 300 K is ____. Use: Universal gas constant $ R = 8.3 \, \text{J K}^{-1} \text{mol}^{-1} $; Atomic mass (in amu): H = 1, O = 16
Match the following:
In the following, \( [x] \) denotes the greatest integer less than or equal to \( x \). 
Choose the correct answer from the options given below:
For x < 0:
f(x) = ex + ax
For x ≥ 0:
f(x) = b(x - 1)2