Motile bacteria are equipped with flagella that arerotated

Chapter 7, Problem 7.145

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Motile bacteria are equipped with flagella that arerotated by tiny, biological electrochemical engineswhich, in turn, propel the bacteria through a hostliquid. Consider a nominally spherical Escherichiacolibacterium that is of diameter D?2 ?m. The bac-terium is in a water-based solution at 37?C containinga nutrient which is characterized by a binary diffusioncoefficient of DAB?0.710?9m2/s and a foodenergy value of ??16,000 kJ/kg. There is a nutrientdensity difference between the fluid and the shell ofthe bacterium of ??A?86010?12kg/m3. Assuminga propulsion efficiency of ??0.5, determine the max-imum speed of the E. coli. Report your answer in bodydiameters per second.

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