Perturbation solution and moment expansion for nonlinear adsorption in a CSTR

Regular perturbation theory is applied to determine the response to an impulse input in a continuous-flow stirred-tank reactor (CSTR) with nonlinear adsorption. A series expansion for temporal moments is a result of the procedure. This moment expansion allows the usual restriction of linearity in analysis of experimental data by moments to be waived. The response at each order can be expressed as an expansion in Laguerre polynomials involving moments, which, in the present example, converges to the exact solution.