The size of spherical aerobic bacteria is limited by the rate at which oxygen diffuses through water. A bacterium with a radius greater than roughly 10 µm is not able to obtain enough oxygen from the surrounding water to sustain itself. Given that the diffusion constant of oxygen n water is 8x10^-10 m²s¹, how long does it take oxygen in water to diffuse an RMS distance of 10 µm?

The size of spherical aerobic bacteria is limited by the rate at which oxygen diffuses through water. A bacterium with a radius greater than roughly 10 µm is not able to obtain enough oxygen from the surrounding water to sustain itself. Given that the diffusion constant of oxygen n water is 8x10^-10 m²s¹, how long does it take oxygen in water to diffuse an RMS distance of 10 µm?