Step-by-step Reaction Analysis:
1.Reaction of C$_2$H$_5$Br with alcoholic KOH:
C$_2$H$_5$Br (ethyl bromide) undergoes dehydrohalogenation with alcoholic KOH to form ethene (CH$_2$ = CH$_2$).
This step is represented as:
\[\text{C}_2\text{H}_5\text{Br} \xrightarrow{\text{alc. KOH}} \text{CH}_2 = \text{CH}_2 \; (\text{A})\]
2. Addition of Br$_2$ in CCl$_4$:
Ethene reacts with bromine (Br$_2$) in the presence of carbon tetrachloride (CCl$_4$) to form 1,2-dibromoethane (BrCH$_2$CH$_2$Br).
This step is represented as:
\[\text{CH}_2 = \text{CH}_2 \xrightarrow{\text{Br}_2/\text{CCl}_4} \text{BrCH}_2\text{CH}_2\text{Br} \; (\text{B})\]
3. Reaction of 1,2-dibromoethane with excess KCN:
The compound BrCH$_2$CH$_2$Br reacts with excess potassium cyanide (KCN) to form 1,2-dicyanoethane (NCCH$_2$CH$_2$CN).
This step is represented as:
\[\text{BrCH}_2\text{CH}_2\text{Br} \xrightarrow{\text{Excess KCN}} \text{NCCH}_2\text{CH}_2\text{CN} \; (\text{C})\]
4. Hydrolysis of 1,2-dicyanoethane:
Hydrolysis of 1,2-dicyanoethane (NCCH$_2$CH$_2$CN) in the presence of excess H$_3$O$^+$ (acidic medium) yields succinic acid (HOOCCH$_2$CH$_2$COOH).
This step is represented as:
\[\text{NCCH}_2\text{CH}_2\text{CN} \xrightarrow{\text{H}_3\text{O}^+\text{ (Excess)}} \text{HOOCCH}_2\text{CH}_2\text{COOH} \; (\text{D})\]
Conclusion: The acid D formed is succinic acid.
Chlorobenzene to biphenyl
Match the LIST-I with LIST-II
Choose the correct answer from the options given below:
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.
Let \( T_r \) be the \( r^{\text{th}} \) term of an A.P. If for some \( m \), \( T_m = \dfrac{1}{25} \), \( T_{25} = \dfrac{1}{20} \), and \( \displaystyle\sum_{r=1}^{25} T_r = 13 \), then \( 5m \displaystyle\sum_{r=m}^{2m} T_r \) is equal to: