The acid formed when propyl magnesium bromide is treated with CO_2 followed by acid hydrolysis is:
C_3H_7OH
Propyl magnesium bromide is a Grignard reagent that reacts with carbon dioxide (CO2) to form a carboxylate anion. This anion is then hydrolyzed to form a carboxylic acid. The reaction can be summarized as follows:
RMgBr + CO2 → RCO− + MgBr+
Upon hydrolysis, the carboxylate anion is converted into a carboxylic acid:
RCO− + H2O → RCOOH
Thus, the acid formed is propionic acid (C3H7COOH), corresponding to option (A).
Propionic acid is the correct product of this Grignard reaction with CO2.
Identify A in the following reaction. 
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 \(P,O,Q\).