The protein lysozyme unfolds at a transition temperature of 75.5 °C, and the sta

Question

The protein lysozyme unfolds at a transition temperature of 75.5 °C, and the standard enthalpy of transition is 509 kJ/mol. Calculate the entropy of unfolding of lysozyme at 25.0 °C, given that the difference in the constant-pressure heat capacities on unfolding is 6.26 kJ/mol and are independent of temperature. Hint: imagine this as a three step process (1) heating the reactants to the trasition temperature (2) unfolding at the transistion temperature and (3) cooling the products back to the starting temperature.

Please show all work.

Explanation / Answer

Basis : 1 mol of reactants

entropy change during change from 25 deg.c to 75.5 deg.c = 6.26*ln {(75.5+273.15/25+273.15)=0.156472 Kj/K

Entopy change at the transition temp of 75.5 deg.c = 509/((75.5+273.15)=1.4599 Kj/K

Entroy chnage for bringing the produts back to 25 deg.c = -6.26*ln (75.5+273.15/ (25+273.15)= -0.156472 Kj/K

total entroy change 0.156472+1.4599-0.156472= 1.4599 Kj/K

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