1. Definition of Azeotrope:
An azeotrope is a mixture of two or more liquids that boil at a constant temperature and have a fixed composition, such that the vapor produced has the same composition as the liquid mixture. Azeotropes behave like pure substances during boiling and cannot be separated into their individual components by simple distillation.
2. Azeotrope formed by Negative Deviation from Raoult's Law:
When a mixture exhibits a negative deviation from Raoult's law, the intermolecular forces between the molecules of the two liquids are stronger than those in the individual components. As a result, the boiling point of the mixture is lower than that predicted by Raoult's law, and the vapor has a different composition than the liquid. This leads to the formation of a minimum boiling azeotrope.
Example:
An example of an azeotrope formed by a negative deviation from Raoult's law is the mixture of hydrochloric acid (HCl) and water. This mixture forms a minimum boiling azeotrope with a boiling point of 108°C and a composition of approximately 20% HCl and 80% water.
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?