Diels-Alder Reaction Experimental Design: Difference between revisions

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Model Formulation

Differential equation system: $\begin{array}{rcl} \dot{n_{1}} (t) & = & - k \cdot \frac{n_{1} (t) \cdot n_{2} (t)}{m_{t o t}}, \\ \dot{n_{2}} (t) & = & - k \cdot \frac{n_{1} (t) \cdot n_{2} (t)}{m_{t o t}}, \\ \dot{n_{2}} (t) & = & k \cdot \frac{n_{1} (t) \cdot n_{2} (t)}{m_{t o t}} \end{array}$

Reaction velocity constant: $k = k_{1} \cdot$

Parameters

@@ Line 7: / Line 7: @@
 <math>
 \begin{array}{rcl}
-\dot{n_1}(t) &=& -k \times \frac{n_1(t) \ \times \ n_2(t)}{m_{tot}},   \\
+\dot{n_1}(t) &=& -k \cdot \frac{n_1(t) \ \cdot \ n_2(t)}{m_{tot}},   \\
    & &                                                              \\
-\dot{n_2}(t) &=& -k \times \frac{n_1(t) \ \times \ n_2(t)}{m_{tot}}, \\
+\dot{n_2}(t) &=& -k \cdot \frac{n_1(t) \ \cdot \ n_2(t)}{m_{tot}}, \\
    & &                                                              \\
-\dot{n_2}(t) &=& \ \ k \times \frac{n_1(t) \ \times \ n_2(t)}{m_{tot}}
+\dot{n_2}(t) &=& \ \ k \cdot \frac{n_1(t) \ \cdot \ n_2(t)}{m_{tot}}
 \end{array}
 </math>