
(a) Reaction Sequence: 1. CH\(_3\)COOH \( \xrightarrow{\text{SOCl}_2} \) CH\(_3\)COCl: Acetic acid (CH\(_3\)COOH) reacts with thionyl chloride (SOCl\(_2\)) to form acetyl chloride (CH\(_3\)COCl), which is an acyl chloride.
2. CH\(_3\)COCl \( \xrightarrow{H_2, \text{Pd-BaSO}_4} \) CH\(_3\)CH\(_2\)NH\(_2\): The acetyl chloride undergoes a reduction reaction using hydrogen (H\(_2\)) in the presence of a palladium catalyst on barium sulfate (Pd-BaSO\(_4\)) to form ethylamine (CH\(_3\)CH\(_2\)NH\(_2\)).
3. CH\(_3\)CH\(_2\)NH\(_2\) \( \xrightarrow{H_2\text{N-NH}_2} \) C: The ethylamine (CH\(_3\)CH\(_2\)NH\(_2\)) reacts with hydrazine (H\(_2\)N-NH\(_2\)) to form a product C, which is likely a hydrazone or another nitrogen-containing compound.
(b) Reaction Sequence: 1. CH\(_3\)CN \( \xrightarrow{1. \text{DIBAL-H}, 2. H}_2\text{O} \) A: Methyl cyanide (CH\(_3\)CN) reacts with DIBAL-H (diisobutylaluminum hydride) to reduce the nitrile group (CN) to an aldehyde (CH\(_3\)CHO), which is compound A.
2. A \( \xrightarrow{\text{NaOH, heat}} \) B: The aldehyde A undergoes an aldol condensation in the presence of sodium hydroxide (NaOH) and heat, forming a product B, which is likely a β-hydroxy aldehyde or ketone.
3. B \( \xrightarrow{C} \) C: The compound B undergoes further reactions, likely a dehydration or other transformation to form the final product C.





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 \(P,O,Q\).