Final answer:
Determining the optimal dilution rate involves understanding the dilution equation to maximize the productivity of product formation. This requires mixing a stock solution with specific dilution factors to achieve the desired concentration, commonly performed with pipettes in a lab setting.
Step-by-step explanation:
The question pertains to determining the optimal dilution rate that maximizes the productivity of product formation. This is a standard problem in bioengineering and biotechnology, where creating optimal conditions for the production of chemicals or compounds, such as propanol, is required. To maximize productivity, one must understand the relationship between the stock solution's concentration and the desired concentration of the final solution.
In practical terms, this involves using pipettes or micropipettes to transfer and dispense solution. If we have a 10% initial solution and perform five steps of logarithmic dilution, the final solution's concentration will be 10 ppm as shown in Figure 5.4.4.
The dilution equation, which is a mathematical formula, helps in calculating the new concentration or volumes when a solution is diluted or concentrated. This equation involves multiplying the initial volume by dilution factors and the initial concentration to reach the desired concentration levels.