
Step 1: Understanding the Concept:
Chromium trioxide (\(CrO_3\)) is an oxidizing agent that oxidizes secondary alcohols to ketones.
Step 2: Detailed Explanation:
Cyclohexanol is a secondary alcohol. When treated with an oxidizing agent like \(CrO_3\) in an acidic medium (Jones reagent) or anhydrous medium, it is oxidized to its corresponding cyclic ketone.
The hydroxyl group (\(-OH\)) is converted into a carbonyl group (\(>C=O\)).
Product 'X' is Cyclohexanone.
Structure: A six-membered carbon ring with a double-bonded oxygen.
Step 3: Final Answer:
The structure of 'X' is Cyclohexanone.
(i) Explain Aldol condensation with example.
(ii) How are the following conversions achieved:
(a) Benzene Benzaldehyde, (b) Ethanoic acid ethanol.
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 \(P,O,Q\).