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1. A reaction system contains C4H10, C4H8, C4H6, and H2. i) Derive a set of inde

ID: 701383 • Letter: 1

Question

1. A reaction system contains C4H10, C4H8, C4H6, and H2.

i) Derive a set of independent chemical reactions describing the stoichiometry using Denbigh’s method.

ii) Derive a set of independent chemical reactions describing the stoichiometry by solving the homogeneous system of equations, A = 0 , where A is the formula matrix and n is a vector of stoichiometric coefficients. Solve by transforming the formula matrix into reduced echelon form using the rref( ) function in Matlab and setting up the N matrix.

iii) Show that the sets of equations obtained in parts i) and ii) are equivalent.

Explanation / Answer

C4H10 =C4H6 + 2H2

C4H10 = C4 H8 +H2

ONLY TWO INDEPENDENT REACTIONS

1 0 -1 -2
1 -1 0 -1

rref(a)= 1 0 -1 -2
0 1 -1 -1

both are independent reactions