Chapter 8: Multiple Reactions

Liquid Semibatch

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POLYMATH report table showing calculated values of differential equation (DEQ) variables, including initial, minimal, maximal, and final values for variables like Ca, Cb, Cc, Cd, Fao, k1a, k2c, Na, Nb, Nc, Nd, reaction rates (r1a, r1b, r1c, r2a, r2c, r2d, ra, rb, rc, rd), Scd, t, V, vo, and Vo.

List of differential equations: 1) d(Nb)/d(t) = rb * V, 2) d(Na)/d(t) = ra * V + Fao, 3) d(Nd)/d(t) = rd * V, 4) d(Nc)/d(t) = rc * V.

List of explicit equations: 1) k1a = 10, 2) k2c = 15, 3) Vo = 1000, 4) vo = 10, 5) V = Vo + vo * t, 6) Ca = Na / V, 7) Cb = Nb / V, 8) r1a = -k1a * Ca * Cb^2, 9) Cc = Nc / V, 10) r1b = 2 * r1a, 11) rb = r1b, 12) r2c = -k2c * Ca^2 * Cc^3, 13) Fao = 3, 14) r2a = 2/3 * r2c, 15) r2d = -1/3 * r2c, 16) r1c = -r1a, 17) rd = r2d, 18) ra = r1a + r2a, 19) Cd = Nd / V, 20) rc = r1c + r2c, 21) Scd = if(t > 0.0001) then (Nc / Nd) else (0).

Graph showing multiple reactions in a semibatch reactor. The x-axis represents time (t), and the y-axis represents molar amounts of components Nb, Na, Nd, and Nc. Nb decreases rapidly, Na increases slightly and stabilizes, Nd rises and then levels off, while Nc increases continuously over time.

Graph showing multiple reactions in a semibatch reactor. The x-axis represents time (t), and the y-axis represents molar amounts of Na and Scd. Na decreases sharply and stabilizes, while Scd remains close to zero across the time interval.


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