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? 

Given below are two statements:
Statement I: Dimethyl ether is completely soluble in water. However, diethyl ether is soluble in water to a very small extent.
Statement II: Sodium metal can be used to dry diethyl ether and not ethyl alcohol.
In the light of the given statements, 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?

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 ___________.