Match the LIST-I with LIST-II

Choose the correct answer from the options given below:
To match LIST-I with LIST-II, we need to understand the definitions and characteristics of each term:
Based on the analysis above, the correct matching is:
Therefore, the correct option is A-III, B-IV, C-I, D-II.
Correct Matching:
- A: Carbocation - III (sp2 hybridized carbon with empty p-orbital)
- B: C-Free radical - IV (sp2/sp3 hybridized carbon with one unpaired electron)
- C: Nucleophile - I (Species that can supply a pair of electrons)
- D: Electrophile - II (Species that can receive a pair of electrons)
Explanation:
- Carbocations are electron-deficient species with sp2 hybridization and empty p-orbital
- Free radicals have one unpaired electron and can be sp2 or sp3 hybridized
- Nucleophiles are electron-rich species that donate electron pairs
- Electrophiles are electron-deficient species that accept electron pairs
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.

Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).

Match the LIST-I with LIST-II for an isothermal process of an ideal gas system. 
Choose the correct answer from the options given below:
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?
