More Questions from Process Control and Instrumentation

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?

Chemical Engineering Process Control and Instrumentation Difficulty: Easy
Choose an option
  • A
    Beckmann thermometer
  • B
    dilatometer
  • C
    mercury-in-glass thermometer
  • D
    bimetallic thermometer
  • 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

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