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Question #104019

Difficulty: 5/10 | 🟢 Free

The Question

An aqueous solution is prepared by dissolving 7.50 g7.50 \text{ g} of glycine (\ceH2N−CH2−COOH\ce{H2N-CH2-COOH}, Mw=75.0 g mol−1M_w = 75.0 \text{ g mol}^{-1}) in 250 g250 \text{ g} of pure water. The pH of the solution is carefully adjusted to 5.975.97 using a negligible volume of reagent. Given that the acid dissociation constants for glycine are pKa1=2.34pK_{a1} = 2.34 and pKa2=9.60pK_{a2} = 9.60, determine the freezing point of the resulting solution. (Assume ideal behavior).

Options

  • A.

    −0.74∘C-0.74^\circ\text{C}

  • B.

    −1.49∘C-1.49^\circ\text{C}

  • C.

    −0.37∘C-0.37^\circ\text{C}

  • D.

    −0.21∘C-0.21^\circ\text{C}

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Correct Answer

Step-by-Step Solution

Explanation

How the Examiner Thinks

Exception_Exposure

Learn to identify edge cases and boundary exceptions that JEE examiners hide in math problems.

Concepts Behind This Question

Molecular Mass Abnormalities|Amino Acid Zwitterion pH Sensitivity|Inductive Effect Trends

Why This Question Is Tricky

Examiner Levers

Approximation Bait

Options are extremely close; tests precision vs. early rounding.

Difficulty Boost : +3

Common Mistakes

This question tests the conceptual understanding of the van't Hoff factor (i) for amino acids at their isoelectric point (pI).

Students often fall into two traps: (1) Assuming that because the zwitterion has two charged centers, it behaves like a strong electrolyte and dissociates (i=2, leading to Option B). (2) Assuming that the carboxylic acid group causes dimerization via hydrogen bonding, similar to acetic acid in benzene (i=0.5, leading to Option C).

The hidden variable is recognizing that at the pI, the net charge is zero, and the molecule exists as a single, non-dissociating solvated entity in water, making i=1.

Additionally, the problem employs an 'Assumed Constant Trap' by requiring the student to recall the standard cryoscopic constant (Kf) for water.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterSolutions - Class 12
ConceptMolecular Mass Abnormalities
Difficulty5
Cognitive Load6
Target Solve Time150 sec
AccessFree