A protein can change conformation from E* to E with an increase in free energy of ∆????1 = 0.5 kcal/mol.

a) If the total protein concentration ???????? = 150 μM and T=300 K, what is the equilibrium constant ????1 and the concentration of E* in μM (round to 2 decimal place)?

k1 = .43

E* = 104.73

b) Now ligand is added, and it binds to the E conformation only with ∆????2 ???????????????? = −15 kcal/mol. The free ligand concentration [S] is known at 10 nM. What is concentration of [ES] complex? What is the fraction of saturation [????????]/[????]???????????????????? in %?
Note here total protein concentration includes E, E* and ES. 149 & 99.3% respectively .