Amines exhibit basic properties due to the presence of a lone pair of electrons on the nitrogen atom, which allows them to act as Lewis bases by accepting protons \( (H^+) \).
Comparatively, a lower \( pK_b \) value indicates a stronger base.
Therefore, diethylamine \( ( pK_b = 3.0 ) \) is a stronger base than dimethylamine \( ( pK_b = 3.27 ) \).
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 \( 4.606 \times 10^{-2} \text{ s}^{-1} \).
Explain the construction of a spherical wavefront by using Huygens' principle.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.