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Bacteria have a density that is about the same as water. Their average velocity is 10^-3 m/s. A bacterium with a radius of 1 um should have a diffusion coefficient of about 2.2x10^-13 m^2/s. (a) Find the random-walk step size (b) How long does it take for an average walk to reach 1 mm in seconds and days? Note that we are considering the diffusion away from the starting point and are calculating the distance through three dimensions. Show your * .work

Bacteria have a density that is about the same as water. Their average velocity is 10^-3 m/s. A bacterium with a radius of 1 um should have a diffusion coefficient of about 2.2x10^-13 m^2/s. (a) Find the random-walk step size (b) How long does it take for an average walk to reach 1 mm in seconds and days? Note that we are considering the diffusion away from the starting point and are calculating the distance through three dimensions. Show your * .work

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Bacteria have a density that is about the same as water. Their average velocity is 10^-3 m/s. A bacterium with a radius of 1 um should have a diffusion coefficient of about 2.2x10^-13 m^2/s. (a) Find the random-walk step size (b) How long does it take for an average walk to reach 1 mm in seconds and days? Note that we are considering the diffusion away from the starting point and are calculating the distance through three dimensions. Show your * .work
Transcribed Image Text:Bacteria have a density that is about the same as water. Their average velocity is 10^-3 m/s. A bacterium with a radius of 1 um should have a diffusion coefficient of about 2.2x10^-13 m^2/s. (a) Find the random-walk step size (b) How long does it take for an average walk to reach 1 mm in seconds and days? Note that we are considering the diffusion away from the starting point and are calculating the distance through three dimensions. Show your * .work
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