Mathematics
Mathematics, 24.08.2021 04:50, Nobleufia

a)If bacteria are used in the production of a commodity chemical, would a low or high value ofμbedesirable? Explain.(b)In the rate expression, separate the variables and integrate to derive an expression of the formf C;C0μt, whereC0is the bacteria concentration that would be measured att0 if balancedgrowth extended back that far. (It might not.) What would you plot versus what on what kind ofcoordinates (rectangular, semilog, or log) to get a straight line if growth is balanced, and howwould you determineμandC0from the plot? (Review Section 2.7 if necessary.)(c)From the given data, determine whether balanced growth was maintained betweent1 h andt8 h. If it was, calculate the specific growth rate. (Give both its numerical value and its units.)(d)Derive an expression for the doubling time of a bacterial species in balanced growth in terms ofμ.[You may make use of your calculations in Part (b).] Calculate the doubling time of the species forwhich the data are given

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