The increasing order of pKa for the following phenols is
(A) 2,4-Dinitrophenol
(B) 4-Nitrophenol
(C) 2,4,5-Trimethylphenol
(D) Phenol
(E) 3-Chlorophenol
Choose the correct answer from the option given below :
For analyzing pKa trends:
• Electron-withdrawing groups increase acidity (lower pKa).
• Electron-donating groups decrease acidity (higher pKa).
• Consider the position and number of substituents for their effect on the phenoxide ion.
1. Understanding \(pK_a\):
Lower \(pK_a\) values indicate stronger acids.
Electron-withdrawing groups (e.g., \(-\text{NO}_2\), \(-\text{Cl}\)) stabilize the phenoxide ion, increasing acidity (lower \(pK_a\)).
Electron-donating groups (e.g., \(-\text{CH}_3\)) destabilize the phenoxide ion, decreasing acidity (higher \(pK_a\)).
2. Analysis of Substituents:
2,4-Dinitrophenol: Two \(-\text{NO}_2\) groups strongly withdraw electrons, making it the most acidic (lowest \(pK_a\)).
4-Nitrophenol: One \(-\text{NO}_2\) group withdraws electrons, making it less acidic than 2,4-Dinitrophenol.
3-Chlorophenol: \(-\text{Cl}\) is a moderate electron-withdrawing group, making it less acidic than \(-\text{NO}_2\) compounds but more acidic than phenol.
Phenol: The parent compound without additional substituents is less acidic than substituted derivatives with electron withdrawing groups.
2,4,5-Trimethylphenol: Three \(-\text{CH}_3\) groups are electron-donating, making it the least acidic (highest \(pK_a\)).
Final Order:
\[2,4\text{-Dinitrophenol} < 4\text{-Nitrophenol} < 3\text{-Chlorophenol} < \text{Phenol} < 2,4,5\text{-Trimethylphenol}.\]
From the following, how many compounds contain at least one secondary alcohol? 
Name the products formed when phenol is treated with the following reagents:
(i) Bromine water
(ii) Zinc dust
(iii) Conc. HNO_3
(i) Predict the products A and B in the hydroboration-oxidation reaction.
(ii) Explain the preparation of phenol from cumene.
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.
Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]