

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.

Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.