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Question #112133

Difficulty: 5/10 | 🟢 Free

The Question

The tertiary structure of a monomeric enzyme is critically stabilized by a single electrostatic salt bridge between the side chains of an Aspartic acid residue (pKaR=3.90pK_{aR} = 3.90) and a Histidine residue (pKaR=6.10pK_{aR} = 6.10). The enzyme undergoes pH-induced denaturation when this salt bridge is disrupted. The salt bridge is considered intact only when the Aspartate side chain is fully deprotonated and the Histidine side chain is fully protonated. Assuming the given pKaRpK_{aR} values are the effective constants in the folded state and their ionizations are statistically independent, determine the maximum percentage of the enzyme in the native (folded) state at 298 K298\text{ K}, and the optimal pH for this stability, respectively.\n\n(Given: 101.1=12.5910^{1.1} = 12.59)

Options

  • A.

    85.8%, 5.00

  • B.

    92.6%, 5.00

  • C.

    14.2%, 5.00

  • D.

    4.8%, 7.40

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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

Amino Acid Zwitterion pH Sensitivity|Protein Denaturation Specificity|Peptide Bond Planarity

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 distinction between thermodynamic (thermal) and electrostatic (pH-induced) denaturation.

The hidden trap lies in the statistical probability of the salt bridge formation.

Students often erroneously assume that the maximum stability simply equals the ionization fraction of a single residue (yielding 92.6%) or assume physiological pH (7.40) is universally optimal.

The correct framework requires recognizing that the probability of the intact salt bridge is the product of two independent ionization probabilities, which is maximized at the arithmetic mean of their pKa values.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterBiomolecules - Class 12
ConceptAmino Acid Zwitterion pH Sensitivity
Difficulty5
Cognitive Load6
Target Solve Time150 sec
AccessFree