(0.5 pts) “Metamorphic proteins\" can adopt different native conformations even

Question

(0.5 pts) “Metamorphic proteins" can adopt different native conformations even though the two dlfferent conformatlons have the same amlno acld sequence. Assume that a metamorphlc proteln has 2 different conformatlons equal In energy such that a glven proteln molecule has equal probablllty of belng In elther conformation. a. GIven 4 Indlstingulshable proteln molecules, what Is the total number of ways In whlch the protelns can be dlstrlbuted between the two conformatlons? b. Your calculatlon from part A ls an example of a multlpllclty calculatlon. Calculate the entropy of thls system based on the Boltzmann equatlon.

Explanation / Answer

a) each protein molecule has 2 different conformations. Hence, for 4 molecules. Total number of ways = 2^4 = 16

b) S = klnW = 1.38065*10^(-23)*ln(16) = 3.827*10^(-23) J/K

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