Department of Chemical Engineering University of California, Santa Barbara Chemical Engineering 132B Computational Methods in Chemical Engineering Fall 2011 Homework #4 Homework due: Friday, 28 October 2011 1. Suppose 3 moles of chemical A, 2 moles of chemical B, and 1 mole of chemical D are injected into a one-liter reaction chamber and the coupled chemical reactions A + 2 B ± 2 C 2 A + D ± C are allowed to proceed to equilibrium. The equilibrium constants for the reactions are K 1 = 0 . 0100 and K 2 = 0 . 0512. Use the multi-dimensional Newton method to ﬁnd how many moles of A, B, C, and D are present at equilibrium to three signiﬁcant ﬁgures. (Don’t use a built-in MatLab function for this; write your own program. You can use the MatLab backslash operator, however, for solving the linear system at each iteration step.) 2. Employ the following methods to ﬁnd the maximum of f ( x ) = 4 x-1 . 8 x 2 + 1 . 2 x 3-0. 3 x 4 to a fractional relative error of 0.001 (a) Newton’s method with
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 12/29/2011 for the course CHE 132b taught by Professor Ceweb during the Fall '09 term at UCSB.