A series of four well-mixed reactors operate isothermally in the steady state. All the tanks do...

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A series of four well-mixed reactors operate isothermally in the steady state. All the tanks do not have the same volume, but the sum of Vi = 25 m. The component whose concentration is designated by C reacts according to the following mechanism:r= - k.C" in each tank. Determine the values of the tank volumes (really residence times of the component) in each of the four tanks for steady-state operation with a fixed fluid flow rate of q so as to maximize the yield of product Ca (concentration in the fourth reactor). Note (Viqi) = 0t the residence time. Use the following data for the coefficients in the problem n= 2 [m/(kg mol)]-s)- k = 0.005 C = 23 kg. mol/m q = 65 m /h 1. The objective function. 2. The variables. 3. The equality constraints. 4. The inequality constraints. A series of four well-mixed reactors operate isothermally in the steady state. All the tanks do not have the same volume, but the sum of Vi = 25 m. The component whose concentration is designated by C reacts according to the following mechanism:r= - k.C" in each tank. Determine the values of the tank volumes (really residence times of the component) in each of the four tanks for steady-state operation with a fixed fluid flow rate of q so as to maximize the yield of product Ca (concentration in the fourth reactor). Note (Viqi) = 0t the residence time. Use the following data for the coefficients in the problem n= 2 [m/(kg mol)]-s)- k = 0.005 C = 23 kg. mol/m q = 65 m /h 1. The objective function. 2. The variables. 3. The equality constraints. 4. The inequality constraints.