General thermodynamic identities for sensitivity coefficients

摘要

Expressions are obtained for the sensitivity coefficients partial derivn_i/partial deriv Y of the equilibrium state of a homogeneous multicomponent system in which chemical reactions occur, and in which ideal behavior of the components is not assumed; n_i is the equilibrium amount of the ith chemical species, and Y is a parameter influencing the equilibrium. These thermodynamic identities represent generalizations of the results of the same kind, recently reported for systems with ideal behavior [I. Gutman, I. Fishtik and I. Nagypal, J. Math. Chem. 16 (1994) 229]. Also in the most general case, partial deriv n_i/partial derivY is found to be equal to the sum of contributions originating from certain special equilibria, previously named as Hessian response reactions.