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Q9.22(b):
Arrange the following set of compounds in order of their decreasing relative reactivity with an electrophile, $E^+$ (b) Toluene, $p-H_3C – C_6H_4 – NO_2$, $p-O_2N – C_6H_4 – NO_2$.

Solution :

Step 1: Identifying the Electronic Nature of Substituents

To determine the relative reactivity of benzene derivatives toward electrophilic aromatic substitution ($E^+$), we must evaluate the influence of substituents on the electron density of the benzene ring. Electrophiles are electron-deficient species; therefore, electron-donating groups (EDGs) increase reactivity (activating), while electron-withdrawing groups (EWGs) decrease reactivity (deactivating).

  • Toluene ($C_6H_5CH_3$): The methyl ($-CH_3$) group is an electron-donating group via the inductive effect ($+I$) and hyperconjugation. This increases the electron density on the benzene ring, facilitating the attack of $E^+$.
  • $p-H_3C – C_6H_4 – NO_2$: This molecule contains both a methyl group ($-CH_3$, $+I$ effect) and a nitro group ($-NO_2$, $-I$ and $-M$ effects). The nitro group is a strong electron-withdrawing group that significantly decreases electron density. The presence of the methyl group provides minor compensation, but the net effect is strong deactivation compared to toluene.
  • $p-O_2N – C_6H_4 – NO_2$: This molecule contains two nitro groups ($-NO_2$). Each nitro group exerts a powerful electron-withdrawing effect via both inductive ($-I$) and resonance ($-M$) mechanisms. This creates the most electron-deficient ring in the set, making it the least reactive.

Step 2: Comparative Analysis of Reactivity

The reactivity sequence is determined by the cumulative electronic effects exerted on the aromatic system [Per the Electronic Theory of Organic Chemistry]:

Compound Substituents Electronic Effect Reactivity Level
Toluene $-CH_3$ Activating ($+I, +H$) Highest
$p-Nitrotoluene$ $-CH_3, -NO_2$ Deactivating (Net $-I, -M$) Intermediate
$p-Dinitrobenzene$ $-NO_2, -NO_2$ Strongly Deactivating Lowest

Step 3: Visual Representation of Substituent Effects

Toluene (+I Effect) p-Nitrotoluene (-I/-M) p-Dinitrobenzene (Strong -I/-M) Decreasing Reactivity towards E+

Step 4: Final Ordering

Based on the analysis, Toluene is the most reactive due to the electron-donating methyl group. $p-Nitrotoluene$ is less reactive due to the presence of one electron-withdrawing nitro group. $p-Dinitrobenzene$ is the least reactive as it contains two strongly electron-withdrawing nitro groups, creating high electron deficiency in the ring.

Final Solution: Toluene > $p-Nitrotoluene$ > $p-Dinitrobenzene$


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