The Ellingham diagram is a graph that represents the temperature dependence of the standard free energy change for reactions, often for the extraction of metals from their ores. In metallurgy, it is frequently used to determine which reducing agent can be used to reduce a specific metal oxide.
The key concept of Ellingham's diagram is that a line lower on the diagram indicates a more stable compound, while a line with a more negative slope indicates the reaction is more spontaneous at higher temperatures.
In the case of reducing alumina (Al2O3), the reducing agent must form a more stable oxide than aluminum oxide. To decide which metal can be used as a reducing agent, we need to compare their positions on the Ellingham diagram:
Therefore, the correct answer is that Magnesium (Mg) can be used to reduce alumina because it forms a more stable oxide than Al2O3.
In conclusion, based on Ellingham's diagram, Magnesium is the suitable reducing agent for alumina due to its position and oxide stability compared to alumina.
A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of \( 60^\circ \) by a force of 10 N parallel to the inclined surface. When the block is pushed up by 10 m along the inclined surface, the work done against frictional force is:

[Given: \( g = 10 \) m/s\( ^2 \), \( \mu_s = 0.1 \)]
A gas can be taken from A to B via two different processes ACB and ADB. When path ACB is used, \( 60 J \) of heat flows into the system and \( 30 J \) of work is done by the system. If path ADB is used, the work done by the system is \( 10 J \). The heat flow into the system in path ADB is:
