Explain why
(i)the dipole moment of chlorobenzene is lower than that of cyclohexyl chloride?
(ii)alkyl halides, though polar, are immiscible with water.
(iii)Grignard reagents should be prepared under anhydrous conditions.
(i)
In chlorobenzene, the Cl-atom is linked to a sp2 hybridized carbon atom.In cyclohexyl chloride,the Cl-atom is linked to a sp3 hybridized carbon atom. Now, the sp2 hybridized carbon has more s-character than the sp3 hybridized carbon atom. Therefore, the former is more electronegative than the latter. Therefore,the density of electrons of the C−Cl bond near the Cl-atom is less in chlorobenzene than in cyclohexyl chloride. Moreover, the R effect of the benzene ring of chlorobenzene decreases the electron density of the C−Cl bond near the Cl-atom. As a result, the polarity of the C−Cl bond in chlorobenzene decreases. Hence, the dipole moment of chlorobenzene is lower than that of cyclohexyl chloride.
(ii)To be miscible with water,the solute-water force of attraction must be stronger than the solute-solute and water-water forces of attraction. Alkyl halides are polar molecules and so held together by dipole-dipole interactions. Similarly, strong H-bonds exist between the water molecules.The new force of attraction between the alkyl halides and water molecules is weaker than the alkyl halide-alkyl halide and water-water forces of attraction. Hence, alkyl halides(though polar)are immiscible with water.
(iii)Grignard reagents are very reactive.In the presence of moisture, they react to give alkanes.
Therefore, Grignard reagents should be prepared under anhydrous conditions.
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 \(P,O,Q\).