In Table $2,$ multiple parameters were changed across different equipment pieces, and some have more of an effect than others. $.$ The first conclusion from this table is the parameter changes that decrease the power output, including decreasing the mass flow rate and the pressure change. All the data are included: Figure : Cascade of continuous

stirred reactors.

Data on the problem are as follows:

The reaction is first$-$order exothermic, $AB,$ with $r=k{C}_A,$ and $k=$

$k_0{e}^{-\frac{E}{RT}},k_0=2000s^{-1}.$

Heat transfer area per reactor, $A_H=0\mathrm{.}09m^2.$

Reactor volume, $V_i=0\mathrm{.}8m^3,$ cooling jacket volume, $V_{C_i}=0\mathrm{.}1m^3.$

Heat capacity of mixture, $C_P=0\mathrm{.}565k\frac{J}{k}gK,$ heat capacity of coolant, $C_{PC}=$

$4\mathrm{.}1868k\frac{J}{k}gK.$

Density of mixture, $=850k\frac{g}{m^3},$ density of coolant, ${}_C=1000k\frac{g}{m^3}$

Feed flowrate, $F=0\mathrm{.}0025\frac{m^3}{s},$ coolant flowrate, $F_C=0\mathrm{.}002\frac{m^3}{s}.$

Overall heat transfer coefficient, $U=167\mathrm{.}5\frac{W}{m^2}K.$

Initial feed concentration, $C_0=0\mathrm{.}6$kgmo$\frac{l}{m^3}.$

Heat of reaction, $H_R=146,538k\frac{J}{k}g$ mol.

Activation energy, $E=42,287k\frac{J}{k}$gmol.

Gas constant, $R=8\mathrm{.}314k\frac{J}{k}$gmol$*K.$

$1.$ State modelling assumptions and indicate balance boundaries.

$2.$ Develop the mathematical model with mass and energy balance. explain the development states.

$3.$ Develop a steady state model in matlab.