onsider an isothermal CSTR whereby a single irreversible first-order reaction occurs in the reactor where A -->B where the arrow indicates reaction of r=kCA. The unsteady-state model balance is (VdC4)/dt = Fv.)(C40 – C4) – V½C4 - conc. of reactant A in the reactor (initially 1.0 mol / L) 1o - conc. of reactant A in the feed to the reactor (1.0 mol / L) -- volumetric flow rate (100 L/min) - rate constant (0.1 min) - volume of liquid in the reactor (1000 L) nd C4 (s) using Laplace transform and partial fraction to equal to C4. (s) CAO.F CAOV²K + s(Fy+Vk) (F„+VK)((F,+VK+Vs)

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Hello please help with partial fraction expansion of Laplace transform.
Consider an 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)/dt = Fv.)(C40 – CA) – VKCĄ
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)
Fy - volumetric flow rate (100 L/min)
k - rate constant (0.1 min)
V - volume of liquid in the reactor (1000 L)
Find C4 (s) using Laplace transform and partial fraction to equal to CA. (s) =
CA0.F
s(Fy+Vk)
(F,+VK)((F,+VK+Vs)
Transcribed Image Text:Hello please help with partial fraction expansion of Laplace transform. Consider an 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)/dt = Fv.)(C40 – CA) – VKCĄ 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) Fy - volumetric flow rate (100 L/min) k - rate constant (0.1 min) V - volume of liquid in the reactor (1000 L) Find C4 (s) using Laplace transform and partial fraction to equal to CA. (s) = CA0.F s(Fy+Vk) (F,+VK)((F,+VK+Vs)
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