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NCERT Exemplar · Q25

Q.On the basis of information given below mark the correct option. Information: On adding acetone to methanol some of the hydrogen bonds between methanol molecules break.

(i) At specific composition methanol-acetone mixture will form minimum boiling azeotrope and will show positive deviation from Raoult's law.
(ii) At specific composition methanol-acetone mixture forms maximum boiling azeotrope and will show positive deviation from Raoult's law.
(iii) At specific composition methanol-acetone mixture will form minimum boiling azeotrope and will show negative deviation from Raoult's law.
(iv) At specific composition methanol-acetone mixture will form maximum boiling azeotrope and will show negative deviation from Raoult's law.
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When acetone is added to methanol, it disrupts the strong hydrogen bonds between methanol molecules, leading to weaker overall intermolecular forces, a positive deviation from Raoult's law, and the formation of a minimum boiling azeotrope. The correct option is (i).

The question asks us to determine the behavior of a methanol-acetone mixture based on the information that "On adding acetone to methanol some of the hydrogen bonds between methanol molecules break." To answer this, we need to understand how the disruption of hydrogen bonds affects intermolecular forces, vapor pressure, deviation from Raoult's law, and azeotrope formation.

Concept and Intuition: Molality Calculation

Methanol (CH3OH\text{CH}_3\text{OH}) is a highly polar molecule capable of forming strong intermolecular hydrogen bonds. The hydrogen atom attached to the electronegative oxygen atom in one methanol molecule can form a strong attractive interaction with the oxygen atom of another methanol molecule. These hydrogen bonds are significant intermolecular forces that hold methanol molecules together in the liquid phase.

Acetone (CH3COCH3\text{CH}_3\text{COCH}_3) is also a polar molecule due to its carbonyl group (C=O\text{C=O}). However, acetone molecules primarily interact through dipole-dipole forces and London dispersion forces. While acetone can act as a hydrogen bond acceptor (via its oxygen atom), it cannot donate a hydrogen bond because it lacks a hydrogen atom directly bonded to an oxygen, nitrogen, or fluorine atom.

When acetone is added to methanol, the acetone molecules insert themselves between the methanol molecules. The new interactions formed between methanol and acetone molecules are primarily dipole-dipole interactions and some weaker hydrogen bonds (where methanol acts as donor and acetone as acceptor). Crucially, these new methanol-acetone interactions are weaker than the strong hydrogen bonds that existed between pure methanol molecules. The overall effect is a reduction in the average intermolecular forces within the mixture compared to pure methanol.

Weaker intermolecular forces mean that molecules require less energy to escape from the liquid phase into the vapor phase. This directly translates to a higher tendency for the solution to vaporize, resulting in a higher vapor pressure than would be expected for an ideal solution. This higher vapor pressure is the hallmark of a positive deviation from Raoult's law.

A solution that exhibits a positive deviation from Raoult's law has a higher vapor pressure than predicted. If the vapor pressure is sufficiently high at a specific composition, the solution will boil at a temperature lower than the boiling point of either pure component. Such a mixture is called a minimum boiling azeotrope.

Step-by-step Reasoning

  1. Analyze Intermolecular Forces in Pure Methanol:

    Methanol (CH3OH\text{CH}_3\text{OH}) molecules are extensively hydrogen-bonded to each other. The hydrogen atom attached to the oxygen in one methanol molecule forms a strong attractive force with the oxygen atom of an adjacent methanol molecule. These strong hydrogen bonds contribute significantly to methanol's relatively high boiling point and low vapor pressure compared to non-hydrogen-bonded compounds of similar molar mass.

  2. Analyze the Effect of Adding Acetone:

    The problem states that "On adding acetone to methanol some of the hydrogen bonds between methanol molecules break." This is the key piece of information. When acetone molecules are introduced, they disrupt the strong methanol-methanol hydrogen bonds. While new interactions form between methanol and acetone, these interactions (primarily dipole-dipole and weaker hydrogen bonds where acetone is the acceptor) are not as strong as the original methanol-methanol hydrogen bonds. Therefore, the overall intermolecular attractive forces in the methanol-acetone mixture are weaker than the average of the intermolecular forces in the pure components.

  3. Relate Intermolecular Forces to Vapor Pressure: …

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