1. Consider a isothermal CSTR whereby a single irreversible first-order reaction occurs in the reactor where...

 

Transcribed Image Text:

1. Consider a isothermal CSTR whereby a single irreversible first-order reaction occurs in the reactor where A B where the arrow indicates a reaction of r=kCA. The unsteady state model balance is VdCA = Fb. (CAO CA) VkCA dt - CA conc. of reactant A in the reactor (initially 1.0 mol/L) - CAO - conc. of reactant A in the feed to the reactor (1.0 mol/L) Fv-volumetric flow rate (100 L/min) k-rate constant (0.1 min) V-volume of liquid in the reactor (1000 L) A. Find CA(S) using Laplace transforms and partial fraction expansion and show that it can be equated to: CA. (s) = CAO.Fr s(Fv+Vk) + CAOV k (Fv+VK)((Fv+VK+Vs) B. Solve the above using inverse Laplace and plot the dynamics, assuming a step change of +1 at t=10. Run till steady state. 1. Consider a isothermal CSTR whereby a single irreversible first-order reaction occurs in the reactor where A B where the arrow indicates a reaction of r=kCA. The unsteady state model balance is VdCA = Fb. (CAO CA) VkCA dt - CA conc. of reactant A in the reactor (initially 1.0 mol/L) - CAO - conc. of reactant A in the feed to the reactor (1.0 mol/L) Fv-volumetric flow rate (100 L/min) k-rate constant (0.1 min) V-volume of liquid in the reactor (1000 L) A. Find CA(S) using Laplace transforms and partial fraction expansion and show that it can be equated to: CA. (s) = CAO.Fr s(Fv+Vk) + CAOV k (Fv+VK)((Fv+VK+Vs) B. Solve the above using inverse Laplace and plot the dynamics, assuming a step change of +1 at t=10. Run till steady state.