

Step 1: Ozonolysis (formation of compound A):} The double bond in the cycloalkene undergoes ozonolysis in the presence of ozone (\( \text{O}_3 \)) followed by reduction with Zn/\( \text{H}_2\text{O} \). This cleaves the double bond, producing two aldehyde groups on adjacent carbons. 2.
Step 2: Haloform reaction (formation of compound B): The aldehyde (or ketone) group in compound A reacts with \( \text{NaOH}_{(\text{alc})} \) and \( \text{I}_2 \) (haloform reaction). This cleaves the terminal methyl ketone or aldehyde group to produce sodium formate (\( \text{HCOONa} \)) and iodoform (\( \text{CHI}_3 \)), leaving a carboxylic acid group. The final product, compound B, contains a carboxylate ion (\( \text{COO}^- \)) and a secondary alcohol group. The complete reaction mechanism ensures the correct conversion of "A" to "B."
Identify A in the following reaction. 
For the reaction, \(N_{2}O_{4} \rightleftharpoons 2NO_{2}\) graph is plotted as shown below. Identify correct statements.
A. Standard free energy change for the reaction is 5.40 kJ \(mol^{-1}\).
B. As \(\Delta G\) in graph is positive, \(N_{2}O_{4}\) will not dissociate into \(NO_{2}\) at all.
C. Reverse reaction will go to completion.
D. When 1 mole of \(N_{2}O_{4}\) changes into equilibrium mixture, value of \(\Delta G = -0.84 \text{ kJ mol}^{-1}\).
E. When 2 mole of \(NO_{2}\) changes into equilibrium mixture, \(\Delta G\) for equilibrium mixture is \(-6.24 \text{ kJ mol}^{-1}\).
Choose the correct answer from the following.

The equivalent resistance between the points \(A\) and \(B\) in the given circuit is \[ \frac{x}{5}\,\Omega. \] Find the value of \(x\). 
Method used for separation of mixture of products (B and C) obtained in the following reaction is: 
In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is: 
Let \( ABC \) be a triangle. Consider four points \( p_1, p_2, p_3, p_4 \) on the side \( AB \), five points \( p_5, p_6, p_7, p_8, p_9 \) on the side \( BC \), and four points \( p_{10}, p_{11}, p_{12}, p_{13} \) on the side \( AC \). None of these points is a vertex of the triangle \( ABC \). Then the total number of pentagons that can be formed by taking all the vertices from the points \( p_1, p_2, \ldots, p_{13} \) is ___________.