Answered Essay: Protein Q can exist in a fully unfolded state or a fully folded state, such that the

Protein Q can exist in a fully unfolded state or a fully folded state, such that the folding reaction is Protein Q + Solvent)_unfolded doubleheadarrow (Protein Q + Solvent)_folded Assume Delta H^o_p = – 92 kJ mol^-1, Delta H^o_s = 0 kJ mol^-1, Delta S^o_p = – 0.560 kJ mol^-1 K^-1, Delta S^o_s = 0.290 kJ mol^-1 K^-1 Calculate the melting temperature for this system. Do the signs of the four components of Delta G for this problem correspond to the ones discussed in the thermodynamics lecture? Explain briefly. Would you expect the organism from which protein Q was taken to be mesophilic or thermophilic? Explain briefly.

As we know for reversible prcess as described here

$\Delta S^{o}=\Delta H^{o}/T$

SO here $\Delta S^{o}=\Delta S^{o}_{p}-\Delta S^{o}_{s}=0.29-(-0.56)=0.85 kj/mol-K$

and $\Delta H^{o}=\Delta H^{o}_{p}-\Delta H^{o}_{s}=0-(-92)=92 kj/mol$

So,$T=\Delta H^{o}/\Delta S^{o}=92/0.85=108.23 K$

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