Primary alkyl halide C4H9Br (a)reacted with alcoholic KOH to give compound(b).Compound(b)is reacted with HBr to give(c)which is an isomer of(a). When (a) is reacted with sodium metal it gives compound(d), C8H18 which is different from the compound formed when n-butyl bromide is reacted with sodium. Give the structural formula of(a)and write the equations for all the reactions.
There are two primary alkyl halides having the formula,C4H9Br. They are n −bulyl bromide and isobutyl bromide. Therefore, compound(a)is either n−butyl bromide or isobutyl bromide.

Now, compound(a)reacts with Na metal to give compound(b)of molecular formula, C8H18, which is different from the compound formed when n−butyl bromide reacts with Na metal. Hence, compound(a)must be isobutyl bromide.
Thus, compound(d)is 2,5−dimethylhexane. It is given that compound(a)reacts with alcoholic KOH to give compound(b). Hence, compound (b)is 2−methylpropene.

Thus, compound(d)is 2,5−dimethylhexane. It is given that compound(a)reacts with alcoholic KOH to give compound(b). Hence, compound(b)is 2−methylpropene.
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 \(P,O,Q\).