



To determine which compound undergoes the fastest \(S_N2\) reaction, we must consider the factors that influence \(S_N2\) reactions. The \(S_N2\) mechanism involves a one-step process where the nucleophile attacks the electrophilic carbon from the opposite side, causing the leaving group to leave simultaneously. Some key factors affecting \(S_N2\) reactions include:
Let us analyze each of the given options based on steric hindrance:
This compound is a tertiary alkyl halide. Tertiary halides are highly hindered and react very slowly, if at all, via an \(S_N2\) mechanism.
This compound is a secondary alkyl halide. Although it can undergo \(S_N2\) reactions, it is more hindered than primary halides.
This compound is a primary alkyl halide. Primary halides are less hindered and usually the best candidates for \(S_N2\) reactions.
This compound is a primary halide too, but given the branching nearby, it could be slightly more hindered compared to the simplest primary halide.
Thus, the compound shown in the following image:
is the correct answer as it is a primary halide with minimal hindrance, allowing the fastest \(S_N2\) reaction.
The \(S_N2\) reaction rate depends on steric hindrance. Primary alkyl halides react faster than secondary or tertiary halides:
Rate of \(S_N2\) : methyl halide > primary > secondary > tertiary.
Among the given options:
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.
Consider the following reaction sequence: 
Given: Compound (x) has percentage composition \(76.6%\ \text{C}\), \(6.38%\ \text{H}\) and vapour density \(=47\). Compound (y) develops a characteristic colour with neutral \(\mathrm{FeCl_3}\) solution. Identify the {INCORRECT statement.}
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.