Which would undergo SN2 reaction at a faster rate and why?
Given compounds:
Compound A: CH3–CH2–Br
Compound B:
| CH3 |
| | |
| CH3–C–Br |
| | |
| CH3 |
Step 1: The SN2 mechanism is a one-step reaction where the nucleophile attacks the carbon atom bonded to the leaving group from the backside.
Step 2: The rate of SN2 reaction is highly sensitive to steric hindrance around the carbon bearing the leaving group.
Step 3: - In Compound A (CH3–CH2–Br), the bromine is attached to a primary carbon, which is less hindered and easily accessible to the nucleophile.
- In Compound B (CH3–C(CH3)2–Br), the bromine is attached to a tertiary carbon, which is highly hindered due to three bulky methyl groups, making backside attack very difficult.
Conclusion: Compound A undergoes SN2 reaction at a much faster rate due to minimal steric hindrance.
Give two differences between N1 and N2 reactions.
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 \(P,O,Q\).