Building on the state variable methods we developed last wee

Building on the \'state variable\' methods we developed last week, let\'s consider a substrate (e.g. a \'big\' molecule) that can bind up to two, identical small molecules in solution. The small molecules are at a concentration c with a reference concentration c_0, and each small molecule individually binds to the larger molecule with an energy epsilon

Solution

There are total three posibility-each site bound by one molecules,a site bound by two molecules or other site bound by two molecules.

(a) probability that one site on the larger molecule is bound = total posibility in favour / total posibility

                                                                                     = 2/3

(b) probability that both site on the larger molecule is bound = total posibility in favour / total posibility

                                                                                      = 1/3

(c) probability for site in equilibrium = total posibility in favour / total posibility

                                                   = 1/3