The correct matching is as follows:
- A. Ethanol has a \( pK \) value of 15.9, so \( A - II \).
- B. Phenol has a \( pK \) value of 10.0, so \( B - I \).
- C. \( m \)-Nitrophenol has a \( pK \) value of 8.3, so \( C - IV \).
- D. \( p \)-Nitrophenol has a \( pK \) value of 7.1, so \( D - III \).
Hence, the correct matching is \( A - II, B - I, C - IV, D - III \).
The Correct Answer is: A-II, B-I, C-IV, D-III
For the thermal decomposition of \( N_2O_5(g) \) at constant volume, the following table can be formed, for the reaction mentioned below: \[ 2 N_2O_5(g) \rightarrow 2 N_2O_4(g) + O_2(g) \] Given: Rate constant for the reaction is \( 4.606 \times 10^{-2} \text{ s}^{-1} \).
Let one focus of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ be at $ (\sqrt{10}, 0) $, and the corresponding directrix be $ x = \frac{\sqrt{10}}{2} $. If $ e $ and $ l $ are the eccentricity and the latus rectum respectively, then $ 9(e^2 + l) $ is equal to:
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is: