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Problem 4. Mixed Media (10 points) The RedmanCo process to remove microplastics utilizes a proprietary media filter'. The removal of microplastics is a first order

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Problem 4. Mixed Media (10 points) The RedmanCo process to remove microplastics utilizes a proprietary media filter'. The removal of microplastics is a first order process with respect to distance, x (in meters). That is, a linear relationship between distance and In C/Co exists. (In C/Co is the natural log of the ratio of the outlet to inlet concentration; it's a normalized concentration.) The concentration of microplastics was measured at 3 distances during an initial pilot study. The following data were collected (x, In C/Co): (0, 0), (0.5, -1.8), (1, -4.2). a) The slope of the best-fit line is the rate of removal. Calculate it and include a 95% confidence interval. b) The final filter design will be 0.75 m in length. What is the expected concentration (In C/Co), expressed as a mean and 99% confidence interval, at the outlet of the filter

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