Step 1: Elimination with Alcoholic KOH \begin{itemize} \item Tert-butyl bromide \((\text{CH}_3)_3\text{CBr}\) undergoes an \(E2\) elimination with alcoholic KOH to form 2-methylpropene \(\big(\text{CH}_2=C(\text{CH}_3)_2\big)\). \end{itemize}
Step 2: Addition of HBr to the Alkene \begin{itemize} \item 2-Methylpropene reacts with HBr via Markovnikov addition, giving back the tertiary bromide, \((\text{CH}_3)_3\text{CBr}\). \item The reaction pathway results in the same tertiary haloalkane as the starting material. \end{itemize} Hence, the major product \((P)\) is \(\text{tert-butyl bromide}\), \((\text{CH}_3)_3\text{CBr}\).
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.