Increasing order of the nucleophilic substitution of following compounds is
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Key Points:
Nucleophilic Aromatic Substitution (S$_N$Ar) rate depends on the stability of the Meisenheimer intermediate (negatively charged).
Electron-Withdrawing Groups (EWGs like -NO$_2$, -CN, -CF$_3$) at ortho/para positions increase the rate by stabilizing the negative charge.
Electron-Donating Groups (EDGs like -OCH$_3$, -NH$_2$, -alkyl) decrease the rate by destabilizing the negative charge.
The more EWGs at ortho/para positions, the higher the reactivity.
This question assesses the increasing reactivity in nucleophilic aromatic substitution (SNAr). SNAr involves a nucleophile attacking the carbon with the leaving group (Cl), forming a negatively charged Meisenheimer complex. Electron-withdrawing groups (EWGs) at the ortho and/or para positions enhance the reaction rate by stabilizing the intermediate's negative charge. Conversely, electron-donating groups (EDGs) decrease the rate.
Let's analyze the substituents:
I (Chlorobenzene): Baseline; no significant activating or deactivating groups.
II (p-Methoxychlorobenzene): The methoxy group (-OCH3) is an electron-donating group (+R effect>-I effect), destabilizing the Meisenheimer complex, thus deactivating the ring towards SNAr.
III (p-Nitrochlorobenzene): The nitro group (-NO2) is a strong electron-withdrawing group (-R and -I effects), stabilizing the complex, activating the ring towards SNAr.
IV (2,4-Dinitrochlorobenzene): Two strong electron-withdrawing nitro groups, one ortho and one para to Cl. Highly activated towards SNAr.
Comparing the effects:
Deactivating group: -OCH3 (II)
No activating/strong deactivating group: (I)
One activating group: p-NO2 (III)
Two activating groups: o-NO2 and p-NO2 (IV)
Therefore, the increasing reactivity order is: Deactivated<Baseline<Activated (1 EWG)<Highly Activated (2 EWGs).
II<I<III<IV
This corresponds to option (B).