Consider the given reaction, Identify 'X' and 'Y' : 

\[ \begin{array}{c} \text{OH} \\ | \\ \text{CH}_3\text{CH}_2 - \text{C} - \text{CH}_2\text{NH}_2 \\ | \\ \text{CH}_3 \end{array} \]
This product is formed by the reduction of a nitrile group (-CN) to an amino group (-CH\(_2\)NH\(_2\)). Reversing this step, the intermediate cyanohydrin must have been:\[ \begin{array}{c} \text{OH} \\ | \\ \text{CH}_3\text{CH}_2 - \text{C} - \text{CN} \\ | \\ \text{CH}_3 \end{array} \]
This cyanohydrin is formed by the addition of HCN to a ketone. Reversing the cyanohydrin formation, the original carbonyl compound must have been Butan-2-one (or methyl ethyl ketone):\[ \begin{array}{c} \text{O} \\ || \\ \text{CH}_3\text{CH}_2 - \text{C} - \text{CH}_3 \end{array} \]
So, the reaction starts with Butan-2-one, even if the diagram in the question is ambiguous.\[ \text{Butan-2-one} + \text{HCN} \xrightarrow{\text{NaOH (X)}} \text{2-hydroxy-2-methylbutanenitrile} \]
Reaction 2: Reduction of the nitrile group.\[ \text{2-hydroxy-2-methylbutanenitrile} \xrightarrow{\text{1. LiAlH}_4 \text{ 2. H}_3\text{O}^+} \text{1-amino-2-methylbutan-2-ol (Y)} \]
The reducing agent LiAlH\(_4\) reduces the -CN group to a -CH\(_2\)NH\(_2\) group.(i) Explain Aldol condensation with example.
(ii) How are the following conversions achieved:
(a) Benzene Benzaldehyde, (b) Ethanoic acid ethanol.
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.
Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]