2. The elementary irreversible liquid-phase reaction of A+ B C dm mol.min' is carried out...

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2. The elementary irreversible liquid-phase reaction of A+ B → C dm³ mol.min' is carried out with the reaction rate constant of k = 0.5 Consider the startup of a CSTR. The initial concentrations of A and B are 0. 2 and 0.5 mol/dm³, respectively. The inlet flow rates of A and B are FAO = FBO = 4 dm³/min. The volume of the reactor is V = 10 dm³. a. Develop the model equation describing the change of concentrations of components A and B with time for the given constant volume CSTR during startup operation. b. Calculate the concentrations of components A and B at the end of 2 min of reaction using 4th order Runge Kutta Method (Take At = 1). Fourth-order Runge-Kutta method FAO, CAO CB FBO, CBO V F CA, CB k₁ = hf (xn, Yn) K3 = hf (xn+ h 27 · Yn + 1/2²7) h k₂ = hf (xn + ₂, Yn + · /²) 2 k4 = hf (xn + h, Yn + k3) k₁ k₂ k3 K4 Yn+1=Yn + + + + 6 3 2 6 2. The elementary irreversible liquid-phase reaction of A+ B → C dm³ mol.min' is carried out with the reaction rate constant of k = 0.5 Consider the startup of a CSTR. The initial concentrations of A and B are 0. 2 and 0.5 mol/dm³, respectively. The inlet flow rates of A and B are FAO = FBO = 4 dm³/min. The volume of the reactor is V = 10 dm³. a. Develop the model equation describing the change of concentrations of components A and B with time for the given constant volume CSTR during startup operation. b. Calculate the concentrations of components A and B at the end of 2 min of reaction using 4th order Runge Kutta Method (Take At = 1). Fourth-order Runge-Kutta method FAO, CAO CB FBO, CBO V F CA, CB k₁ = hf (xn, Yn) K3 = hf (xn+ h 27 · Yn + 1/2²7) h k₂ = hf (xn + ₂, Yn + · /²) 2 k4 = hf (xn + h, Yn + k3) k₁ k₂ k3 K4 Yn+1=Yn + + + + 6 3 2 6

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