A protein undergoes reversible thermal denaturation from its initial state N to denatured state D
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A protein undergoes reversible thermal denaturation from its initial state N to denatured state D
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NEET Chemistry PYQ solved by Nitish Sir 🔥 A Chemical Thermodynamics / Biomolecules numerical on protein denaturation, equilibrium constant (K_eq), Gibbs free energy, and standard entropy change (ΔS°).
❓ QUESTION
A protein undergoes reversible thermal denaturation from its initial state N to denatured state D according to N ⇌ D. At 60 °C, the concentrations of both N and D are equal at equilibrium, and the standard enthalpy change of denaturation is 666 kJ mol⁻¹. The standard entropy change (ΔS° in kJ K⁻¹ mol⁻¹) of the protein upon denaturation at 60 °C is closest to
(1) 333.0
(2) 11.1
(3) 2.0
(4) 2000.0
✅ Correct answer: (3) 2.0
Key idea →
At equilibrium, [N] = [D], so K_eq = [D] / [N] = 1.
Since ΔG° = -RT ln(K_eq) and ln(1) = 0, we have ΔG° = 0.
Using ΔG° = ΔH° - TΔS° = 0, which gives ΔS° = ΔH° / T.
Convert T = 60 °C = 333 K.
ΔS° = 666 kJ mol⁻¹ / 333 K = 2.0 kJ K⁻¹ mol⁻¹.
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