(a) Explain the resonance effect in nucleophilic substitution reactions of haloarenes. By giving the example of chlorobenzene, write short notes on the following:
OR
(a) What happens when – (write chemical equations only)?
Solution:
Step 1: Resonance Effect in Haloarenes:
Haloarenes (e.g., chlorobenzene) show resonance due to delocalization of lone pair electrons on the halogen. This results in partial double bond character, reducing reactivity towards nucleophilic substitution.
\[ \text{C}_6\text{H}_5\text{Cl} \leftrightarrow \text{Various Resonating Structures} \]
Step 2: Wurtz-Fittig Reaction:
\[ C_6H_5Cl + 2Na + C_2H_5Cl \xrightarrow{\text{Dry Ether}} C_6H_5C_2H_5 + 2NaCl \]
Step 3: Friedel-Crafts Reaction:
\[ C_6H_6 + CH_3Cl \xrightarrow{AlCl_3} C_6H_5CH_3 + HCl \]
What happens when – (write chemical equations only)?
(i) Ethyl bromide reacts with sodium ethoxide?
\[ C_2H_5Br + C_2H_5ONa \rightarrow C_2H_5-O-C_2H_5 + NaBr \]
(ii) Ethyl chloride reacts with alcoholic KCN?
\[ C_2H_5Cl + KCN \xrightarrow{\text{alc.}} C_2H_5CN + KCl \]
(iii) Chlorobenzene reacts with nitric acid?
\[ C_6H_5Cl + HNO_3 \xrightarrow{H_2SO_4} o-C_6H_4ClNO_2 + p-C_6H_4ClNO_2 \]
(iv) n-butyl chloride reacts with alcoholic KOH?
\[ C_4H_9Cl + KOH \xrightarrow{\text{alc.}} C_4H_8 + H_2O + KCl \]
(v) Ethyl bromide reacts with magnesium metal in the presence of dry ether?
\[ C_2H_5Br + Mg \xrightarrow{\text{Dry Ether}} C_2H_5MgBr \]
Write the product obtained when D-glucose reacts with \( H_2N - OH \).
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $