Arrange the following compounds as asked:
(a) In increasing order of pKb values: \( \text{C}_2\text{H}_5\text{NH}_2 \), \( (\text{C}_2\text{H}_5)_2\text{NH} \), \( \text{C}_6\text{H}_5\text{NHCH}_3 \), \( \text{C}_6\text{H}_5\text{NH}_2 \)
(b) In decreasing order of boiling point: \( \text{C}_2\text{H}_5\text{OH} \), \( \text{C}_2\text{H}_5\text{NH}_2 \), \( (\text{CH}_3)_2\text{NH} \)
(c) In decreasing order of solubility in water: \( \text{C}_6\text{H}_5\text{NH}_2 \), \( (\text{C}_2\text{H}_5)_2\text{NH} \), \( \text{C}_2\text{H}_5\text{NH}_2 \)
(a) In increasing order of pKb values: \( \text{C}_2\text{H}_5\text{NH}_2 \), \( (\text{C}_2\text{H}_5)_2\text{NH} \), \( \text{C}_6\text{H}_5\text{NHCH}_3 \), \( \text{C}_6\text{H}_5\text{NH}_2 \)
Solution:
Lower pKb implies stronger base. Order of increasing pKb (i.e., decreasing basicity):
\( (\text{C}_2\text{H}_5)_2\text{NH} < \text{C}_2\text{H}_5\text{NH}_2 < \text{C}_6\text{H}_5\text{NHCH}_3 < \text{C}_6\text{H}_5\text{NH}_2 \)
Quick Tip:
Aromatic amines are weaker bases due to resonance; aliphatic amines are stronger.
(b) In decreasing order of boiling point: \( \text{C}_2\text{H}_5\text{OH} \), \( \text{C}_2\text{H}_5\text{NH}_2 \), \( (\text{CH}_3)_2\text{NH} \)
Solution:
Boiling point depends on hydrogen bonding and molecular weight. Order:
\( \text{C}_2\text{H}_5\text{OH} > \text{C}_2\text{H}_5\text{NH}_2 > (\text{CH}_3)_2\text{NH} \)
Quick Tip:
Alcohols have stronger H-bonding than amines, leading to higher boiling points.
(c) In decreasing order of solubility in water: \( \text{C}_6\text{H}_5\text{NH}_2 \), \( (\text{C}_2\text{H}_5)_2\text{NH} \), \( \text{C}_2\text{H}_5\text{NH}_2 \)
Solution:
Solubility depends on ability to form H-bonds and size of hydrophobic group. Order:
\( \text{C}_2\text{H}_5\text{NH}_2 > (\text{C}_2\text{H}_5)_2\text{NH} > \text{C}_6\text{H}_5\text{NH}_2 \)





Consider the following reaction of benzene. the percentage of oxygen is _______ %. (Nearest integer) 
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).