A liquid-phase chemical reaction A -* B takes place in a well-stirred tank. The concentration of A in the feed is f-AO (mol/m3), and that in the tank and outlet stream is CA (mol/nr). Neither concentration varies with time. The volume of the tank contents is V(m3) and the volumetric flow rale of the inlet and outlet streams is V (m7s). The reaction rate (the rate at which A is consumed by reaction in the lank) is given by the expression
r(mol A consumed/s) = JtVCA
where k is a constant.
- Is this process continuous, batch, or semibatch? Is it transient or steady-state?
- What would you expect the reactant concentration CA to equal if k = 0 (no reaction)? What should it approach if k —» oo (inflnitely rapid reaction)?
- Write a differential balance on A, stating which terms in the general balance equation (accumulation = input + generation — output — consumption) you discarded and why you discarded them. Use the balance to derive the following relation between the inlet and outlet reactant concentrations:
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