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?
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ABeckmann thermometer
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Bdilatometer
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Cmercury-in-glass thermometer
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Dbimetallic thermometer
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E
Answer
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