The extraction of aluminium from alumina \((Al_2O_3)\) involves the electrolytic reduction of a molten mixture. The process used is known as the Hall-Héroult process. This method is chosen due to its efficiency in separating aluminium from its ore.
The key components of the molten mixture are:
Now, let's examine the given options:
Thus, based on the composition used in the Hall-Héroult process, the correct answer is:
Al_2O_3 + Na_3AlF_6 + CaF_2.
This choice effectively reduces alumina efficiently while ensuring economic feasibility by maintaining manageable temperatures and conductivity for the electrolytic reduction process.
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:
