To determine the correctness of the statements concerning the likelihood of certain chemical reactions involving primary halides, we must analyze the molecular structure and the mechanism involved.
Statement I: CH\(_3\)-O-CH\(_2\)-Cl will undergo \( S_N1 \) reaction though it is a primary halide. The \( S_N1 \) reaction typically involves formation of a carbocation intermediate, which is more stable in tertiary carbons. However, in this case, if the leaving group, Cl\(^-\), departs, the resulting carbocation is stabilized by the adjacent oxygen atom through resonance. Therefore, Statement I is correct because the resonance stabilization provided by the oxygen allows the primary alkyl halide to undergo a \( S_N1 \) reaction.
Statement II: CH_3-C(-CH_3)(-CH_3)-CH_2-Cl will not undergo \( S_N2 \) reaction very easily though it is a primary halide. The \( S_N2 \) mechanism involves a backside attack, which requires unobstructed access to the electrophilic carbon. Here, even though it is a primary halide, the three bulky methyl groups surrounding the reactive center hinder the approach of the nucleophile, thus impeding the \( S_N2 \) reaction. Therefore, Statement II is correct as the steric hindrance prevents the \( S_N2 \) mechanism.
Based on these analyses, the most appropriate answer is that both Statement I and Statement II are correct.
Alkyl halides undergoing nucleophilic bimolecular substitution reaction involve:
Let \( A = \{-3, -2, -1, 0, 1, 2, 3\} \). A relation \( R \) is defined such that \( xRy \) if \( y = \max(x, 1) \). The number of elements required to make it reflexive is \( l \), the number of elements required to make it symmetric is \( m \), and the number of elements in the relation \( R \) is \( n \). Then the value of \( l + m + n \) is equal to: