Draw a labelled diagram of electrolytic cell used for electrolysis of alumina. Write the chemical equations occurring in it.

Given below are two statements: One is labelled as Assertion $\mathrm{A}$ and the other is labelled as Reason $\mathrm{R}$

Assertion $\mathrm{A}$ : The reduction of a metal oxide is easier if the metal formed is in liquid state than solid state.

Reason $\mathrm{R}$ : The value of ${\mathrm{\Delta G}}^{\mathrm{\Theta }}$ becomes more on negative side as entropy is higher in liquid state than solid state.

In the light of the above statements. Choose the most appropriate answer from the options given below

The reaction for obtaining the metal $\left(\mathrm{M}\right)$ from its oxide $\left({\mathrm{M}}_2{\mathrm{O}}_3\right)$ ore is given by

${\mathrm{M}}_2{\mathrm{O}}_3\left(\mathrm{s}\right)+2\mathrm{Al}\left(l\right)\stackrel{ \mathrm{Heat} }{⟶}{\mathrm{Al}}_2{\mathrm{O}}_3\left(\mathit{l}\right)+2\mathrm{M}\left(\mathrm{s}\right)$

( $\mathrm{s}=$solid,$l=$liquid)  in that case, $\mathrm{M}$ is

Given are two statements one is labelled as Assertion and other is labelled as Reason.

Assertion: Magnesium can reduce ${\mathrm{Al}}_2{\mathrm{O}}_3$ at a temperature below $1350 °\mathrm{C}$, while above $1350 °\mathrm{C}$ aluminium can reduce $\mathrm{MgO}$.

Reason: The melting and boiling points of magnesium are lower than those of aluminium.

In light of the above statements, choose most appropriate answer from the options given below

Explain why $\mathrm{Ar}$ is used in the Kroll process to extract $\mathrm{Ti}$, for welding and in electric light bulbs. Draw the structures of ${\mathrm{XeF}}_2, {\mathrm{XeF}}_4$ and ${\mathrm{XeF}}_6$.

Represent the union of two sets by Venn diagram for each of the following.

$X=\{x | x$ is a prime number between $80$ and $100\}$

$Y=\{y | y$ is an odd number between $90$ and $100\}$

The value of ${∆}_{\mathrm{f}}{\mathrm{G}}^{\mathrm{o}}$ for the formation of ${\mathrm{Cr}}_2{\mathrm{O}}_3$ is $- 540 \mathrm{kJ} {\mathrm{mol}}^{-1}$ and that of ${\mathrm{Al}}_2{\mathrm{O}}_3$ is $-827 \mathrm{k}\mathrm{J}$ ${\mathrm{m}\mathrm{o}\mathrm{l}}^{-1}$. Is the reduction of ${\mathrm{C}\mathrm{r}}_2{\mathrm{O}}_3$ possible with $\mathrm{A}\mathrm{l}$?