Difference between revisions of "Diels-Alder Reaction Experimental Design"

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(→‎Model Formulation)
(→‎Model Formulation)
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<math>
 
<math>
 
\begin{array}{rcl}
 
\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}  
 
\end{array}  
 
</math>
 
</math>

Revision as of 10:39, 4 December 2015

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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_{tot}}, \\ & & \\ \dot{n_2}(t) &=& -k \cdot \frac{n_1(t) \ \cdot \ n_2(t)}{m_{tot}}, \\ & & \\ \dot{n_2}(t) &=& \ \ k \cdot \frac{n_1(t) \ \cdot \ n_2(t)}{m_{tot}} \end{array}

Reaction velocity constant: k = k_1 \cdot

Parameters

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