Chapter 8: Multiple Reactions

Liquid Phase CSTR

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POLYMATH report table showing calculated values of nonlinear equation (NLE) variables. The table includes columns for Variable, Value, f(x), and Initial Guess. Variables listed are Ca, Cb, Cc, and Cd, with respective values, f(x) evaluations close to zero, and initial guesses.

Table displaying variables and their values. Variables include Cao (2), Cbo (2), k1a (10), k2c (15), reaction rates (r1a: -0.038304, r1b: -0.076608, r1c: 0.038304, r2a: -0.0203899, r2c: -0.0305848, r2d: 0.0101949), aggregate rates (ra: -0.0586939, rb: -0.076608, rc: 0.0077191, rd: 0.0101949), Scd (0.7541941), v (100), and V (2500).

Nonlinear equations listed as: f(Ca) = v*Cao - v*Ca + ra*V = 0, f(Cb) = v*Cbo - v*Cb + rb*V = 0, f(Cc) = -v*Cc + rc*V = 0, f(Cd) = -v*Cd + rd*V = 0.

Explicit equations: 1) k1a = 10, 2) k2c = 15, 3) r2c = -k2c*Ca^2*Cc^3, 4) r1a = -k1a*Ca*Cb^2, 5) r1b = 2*r1a, 6) r2a = 2/3*r2c, 7) r1c = -r1a.
Explicit equations continued: 8) r2d = -1/3*r2c, 9) rb = r1b, 10) ra = r1a + r2a, 11) Cao = 2, 12) Cbo = 2, 13) rc = r1c + r2c, 14) rd = r2d, 15) V = 2500, 16) v = 100, 17) Scd = Cc/(Cd + 0.001).


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