Measuring minute depression of the freezing point (cryoscopy) Which instrument is best suited to detect and measure very small changes in freezing point when a solute is added to a solvent?

Difficulty: Easy

Correct Answer: Beckmann thermometer

Explanation:


Introduction / Context:
Cryoscopy relies on measuring small decreases in a solvent’s freezing point upon adding a solute, allowing estimation of molar mass and colligative properties. The measurement demands a high-resolution thermometer designed specifically for tiny temperature changes, often only a few hundredths of a degree.



Given Data / Assumptions:

  • Objective: detect minute freezing point depressions.
  • Resolution required: hundredths of a degree Celsius or better.
  • Laboratory context with careful stirring and supercooling control.


Concept / Approach:
The Beckmann thermometer features an adjustable mercury index and a restricted scale, typically spanning about 5–6°C, providing fine resolution for small temperature differences. It is the classic instrument for cryoscopy and ebullioscopy (boiling point elevation) experiments in physical chemistry.



Step-by-Step Solution:

Prepare pure solvent and measure its freezing point with the Beckmann thermometer.Add solute of known mass and allow the system to equilibrate.Measure the new freezing point; compute depression ΔT_f.Use ΔT_f with the cryoscopic constant to estimate molar mass if needed: M = (K_f * m_solute) / (ΔT_f * m_solvent).


Verification / Alternative check:
Repeating measurements and correcting for supercooling yields consistent ΔT_f. The Beckmann’s fine scale and adjustable index help eliminate calibration offsets between runs.



Why Other Options Are Wrong:

Dilatometer — measures volume changes, not minute temperature changes.Mercury-in-glass thermometer — general purpose, insufficient resolution for tiny ΔT.Bimetallic thermometer — low precision; intended for industrial monitoring.


Common Pitfalls:
Failing to account for supercooling and stirring rate, which can distort the apparent freezing point; the Beckmann thermometer helps, but technique remains critical.



Final Answer:
Beckmann thermometer

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