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Abnormal Molar Masses

Mediumchemistry

Benzoic acid dissolved in benzene shows an abnormally high molar mass when measured by colligative property methods. Which phenomenon explains this, and what is the expected van't Hoff factor?

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About This Question

Subject
chemistry
Chapter
solutions
Topic
abnormal molar masses
Difficulty
Medium
Year
2025
Tags
abnormal molar massassociationdimerisationvan't Hoff factorbenzoic acid in benzene

Solution

Correct Answer:

Benzoic acid in benzene (a non-polar solvent) undergoes dimerisation via hydrogen bonding between the carboxylic acid groups of two molecules: 2C₆H₅COOH ⇌ (C₆H₅COOH)₂. This dimerisation reduces the number of solute particles in solution by half. Since colligative properties depend on the number of particles, a smaller number of particles leads to a smaller observed colligative effect than expected, giving an apparent molar mass that is twice the true value. The van't Hoff factor i = observed particles / expected particles = 0.5 (since 2 molecules become 1 dimer). Option A: Ionisation would give i > 1 (more particles), but benzoic acid ionises in polar solvents like water, not non-polar benzene. Option C: Solvation does not change the number of particles, and i = 2 is incorrect. Option D: Decomposition in benzene is not a known phenomenon for benzoic acid under normal conditions. This is a well-known NCERT example of association leading to abnormally high molar mass. Plausibility check: an elevated apparent molar mass (measured value ≈ 244 g/mol vs actual 122 g/mol) is consistent with dimerisation (factor of 2) and i = 0.5.

This medium difficulty chemistry question is from the chapter solutions, covering the topic of abnormal molar masses. It appeared in the 2025 exam.

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