Draw the structures of all isomeric alcohols of molecular formula C5H12O and give their IUPAC names. (ii)Classify the isomers of alcohols in question 11.3(i)as primary, secondary and tertiary alcohols.
(i)The structures of all isomeric alcohols of molecular formula,C5H12O are shown below:
(ii)Primary alcohol:Pentan-1-ol;2-Methylbutan-1-ol;
3-Methylbutan-1-ol;2,2-Dimethylpropan-1-ol
Secondary alcohol:Pentan-2-ol;3-Methylbutan-2-ol;
Pentan-3-ol
Tertiary alcohol:2-methylbutan-2-ol


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 \(P,O,Q\).