Define Azeotrope. What type of Azeotrope is formed by negative deviation from Raoult's law? Give an example.
Azeotrope: An azeotrope is a mixture of two or more liquids that behaves as a single substance when boiled. This means that the composition of the vapor produced during boiling is the same as the composition of the liquid, and thus it cannot be separated by simple distillation. Azeotropes occur because of the specific interactions between the components in the mixture.
In mixtures that show a negative deviation from Raoult’s law, the intermolecular forces between the components are stronger than those in the individual pure components. This leads to a lower vapor pressure than expected, and the mixture boils at a lower temperature than either of the pure liquids. This behavior often leads to the formation of an azeotrope.
An example of an azeotrope formed by a negative deviation is the water and hydrochloric acid (HCl) mixture. The HCl solution in water forms an azeotrope at around 20.2% HCl by weight, which boils at 108.6°C. At this composition, it cannot be separated further by distillation, as the vapor has the same composition as the liquid.
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 \(P,O,Q\).