Answer:
a. kc = 1,67x10⁶
b. kc = 1,17x10⁷
c. Drug B is the better choice.
Explanation:
The bind of drug-protein is described as:
Protein + Drug ⇄ Drug-protein
Where kc is:
kc = [Drug-protein] / [Protein] [Drug] (1)
a. For A, the equilibrium concentration of each specie is:
[Protein]: 1,60x10⁻⁶M - x
[Drug]: 2,00x10⁻⁶M - x
[Drug-protein]: x = 1,00x10⁻⁶M
-Where x is reaction coordinate-
Thus:
[Protein]: 1,60x10⁻⁶M - 1,00x10⁻⁶M = 0,60x10⁻⁶M
[Drug]: 2,00x10⁻⁶M - 1,00x10⁻⁶M = 1,00x10⁻⁶M
Replacing in (1):
kc = [1,00x10⁻⁶] / [1,00x10⁻⁶] [0,60x10⁻⁶]
kc = 1,67x10⁶
b. For B:
[Protein]: 1,60x10⁻⁶M - x
[Drug]: 2,00x10⁻⁶M - x
[Drug-protein]: x = 1,40x10⁻⁶M
-Where x is reaction coordinate-
Thus:
[Protein]: 1,60x10⁻⁶M - 1,40x10⁻⁶M = 0,20x10⁻⁶M
[Drug]: 2,00x10⁻⁶M - 1,40x10⁻⁶M = 0,60x10⁻⁶M
Replacing in (1):
kc = [1,40x10⁻⁶] / [0,20x10⁻⁶] [0,60x10⁻⁶]
kc = 1,17x10⁷
c. The drug with the bigger kc will be the more effective because will be the drug that binds more strongly with the protein. Thus, drug B is the better choice.
I hope it helps!