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A liquid phase reaction takes place in a semi-batch reactor. The reaction that occurs is a first order reaction which is given as follows:
A → B , r = kCA
where r (mol/L∙sec) is the reaction rate, CA (mol/L) is the concentration of reactants in the reactor, and k (1/sec) is the kinetic constant of the reaction. Reactor tank having tank volume VR and at the beginning the tank is empty. At time t = 0, solution A with a concentration of CA0 is fed into the reactor at a constant rate, namely Q0. In the feed stream, the concentration of B = 0 (CB0 = 0). Assumption: the density of the liquid does not change. If you know the volume of liquid in the tank is V, and the moles of A in the tank, nA, then construct a differential equation, then determine the correct solution method and solve the differential equation.
Remember that CA = nA/V
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