Diels-Alder Reaction Experimental Design: Difference between revisions

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Model Formulation

$\begin{array}{rcl} \dot{n_{1}} (t) & = & - k \times \frac{n_{1} (t) \times n_{2} (t)}{m_{t o t}}, \\ \dot{n_{2}} (t) & = & - k \times \frac{n_{1} (t) \times n_{2} (t)}{m_{t o t}}, \\ \dot{n_{2}} (t) & = & k \times \frac{n_{1} (t) \times n_{2} (t)}{m_{t o t}} \end{array}$

Parameters

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 <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 \times \frac{n_1(t) \times 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 \times \frac{n_1(t) \times n_2(t)}{m_{tot}}
 \end{array}