A+BC+2D reaction was carried out in a differential reactor and the following data were obtained.

a) Develop a rate law and find all the constants in the rate law.

b) Suggest a mechanism suitable for the experimental data and show the compatibility of the velocity expression you will obtain from the mechanism with the velocity expression you will consider from the experimental data. Specify the check digit.

c) Calculate the catalyst weight required to reach 80% conversion in a Continuous Stirred Tank Reactor (SKTR) since A and B are fed at 3 atm at 200 ^oC at stoichiometric ratios of 5 mol/min in total.

\begin{tabular}{|l|c|c|c|c|c|} \hline \multirow{2}{*}{ Test number } & \multicolumn{4}{|c|}{ Partial pressure } & rate \\ \cline { 2 - 6 } & PA (atm ) & PB (atm) & PC (atm) & PD (atm) & r(mol/g,h) \\ \hline 1 & 1 & 1 & 2 & 0 & 0.0642 \\ \hline 2 & 1 & 1 & 0 & 3 & 0.1128 \\ \hline 3 & 1 & 2 & 0 & 0 & 0.18 \\ \hline 4 & 1 & 4 & 0 & 0 & 0.2568 \\ \hline 5 & 0.5 & 1 & 0 & 0 & 0.0816 \\ \hline 6 & 1 & 1 & 0 & 0 & 0.1128 \\ \hline 7 & 2 & 1 & 0 & 0 & 0.1386 \\ \hline 8 & 3 & 1 & 0 & 0 & 0.15 \\ \hline 9 & 1 & 1 & 0 & 0 & 0.1128 \\ \hline 10 & 4 & 1 & 0 & 0 & 0.1566 \\ \hline 11 & 5 & 1 & 0 & 0 & 0.1608 \\ \hline 12 & 1 & 1 & 0 & 2 & 0.1128 \\ \hline 13 & 1 & 1 & 1 & 0 & 0.0816 \\ \hline 14 & 1 & 1 & 4 & 0 & 0.045 \\ \hline 15 & 1 & 1 & 6 & 0 & 0.0348 \\ \hline 16 & 1 & 0 & 0 & 0 & 0.2814 \\ \hline 17 & 1 & 1 & 0 & 4 & 0.1128 \\ \hline 18 & 1 & 0 & 1 & 0.1128 \\ \hline \end{tabular}