The protein lysozyme unfolds at a transition temperature of 75.5 °C and the standard −1 enthalpy of transition is 509 kJmol . Calculate the entropy of unfolding of lysozyme at 25.0 °C, given that the difference in the constant pressure heat capacities upon unfolding is 6.28 kJK−1mol−1 and can be assumed to be independent of temperature

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The protein lysozyme unfolds at a transition temperature of 75.5 °C and the standard −1

enthalpy of transition is 509 kJmol . Calculate the entropy of unfolding of lysozyme at 25.0 °C, given that the difference in the constant pressure heat capacities upon unfolding is 6.28 kJK−1mol−1 and can be assumed to be independent of temperature. Hint: Imagine that the transition at 25.0 °C occurs in three steps:

(i) heating of the folded protein from 25.0 °C to the transition temperature, (ii) unfolding at the transition temperature, and
(iii) cooling of the unfolded protein to 25.0 °C.

(Note: Because the entropy is a state function, the entropy change at 25.0 °C is equal to the sum of the entropy changes of the steps.)

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