numerical ODE solver with series reactions

numerical ODE solver with series reactions - d[A]/d t= - k1...

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Using the numerical ODE solvers in either MathCad or MatLab, solve the following: 1. Chemical reaction A -> B, first order reaction d[A]/dt= - k1 * [A] where k1 = 0.35 min -1 , and at t = 0 min, [A] 0 = 5 mol/L Solve numerically and provide plot of [A] and [B] vs. t 2. Series chemical reactions, A-> B ->C, both first order reactions d[A]/d t= - k1 * [A] where k1 = 0.35 min -1 d[B]/dt = k2 * [A] - k2 [B] where k2 = 0.45 min -1 at t = 0 min, [A] 0 = 5 mol/L and [B] 0 = 2.3 mol/L Solve numerically and provide plot of [A], [B], and [C] vs. t 3. Series chemical reactions, A-> B ->C-> D, all first order reactions
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Unformatted text preview: d[A]/d t= - k1 * [A] where k1 = 0.35 min-1 , d[B]/dt = k1 * [A] - k2 [B] where k2 = 0.45 min-1 d[C]/dt = k2 * [B] - k3 [C] where k3 = 0.15 min-1 and at t = 0 min, [A] 0 = 5 mol/L, [B] = 2.3 mol/L, and [C] = 0.7 mol/L Solve numerically and provide plot of [A], [B], [C], and [D] vs. t 4. Repeat # 3, with the 2 nd reaction (B-&gt;C) being an enzymatic reaction, i.e. d[B]/dt = Vm*[B]/(Km+[B]) with Km=0.5 mol/L and Vm=0.71 mol/L-min. Solve numerically and provide plot of [A], [B], [C], and [D] vs. t...
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