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With a dry mask, particles of different sizes can get trapped via various mechanisms by the fibers in the mask. Once a mask is wet, however, particles can diffuse through the water instead of getting trapped by the fibers in the mask. Say your mask is 0.1 mm thick, and is saturated with water - you can just model it as a 0.1 mm think layer of water. A respiratory droplet lands on the outside of your mask, depositing a reservoir of viral particles. The viral particles have a radius of about 50 nm. (a) Assuming your mask is at body temperature (about 310 K), what's the diffusion coefficient of the viral particle in water, D? The viscosity of water is 8.9x 10-4 Pa-s. (b) On average, how long will it take for the particles to diffuse through your wet mask? Convert your answer from seconds to minutes to get a better sense for the answer.

With a dry mask, particles of different sizes can get trapped via various mechanisms by the fibers in the mask. Once a mask is wet, however, particles can diffuse through the water instead of getting trapped by the fibers in the mask. Say your mask is 0.1 mm thick, and is saturated with water - you can just model it as a 0.1 mm think layer of water. A respiratory droplet lands on the outside of your mask, depositing a reservoir of viral particles. The viral particles have a radius of about 50 nm. (a) Assuming your mask is at body temperature (about 310 K), what's the diffusion coefficient of the viral particle in water, D? The viscosity of water is 8.9x 10-4 Pa-s. (b) On average, how long will it take for the particles to diffuse through your wet mask? Convert your answer from seconds to minutes to get a better sense for the answer.

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I know this is a relatively simple question, but can someone walk me through part A and B on this practice problem?

With a dry mask, particles of different sizes can get trapped via various mechanisms by the fibers in the mask. Once a mask is wet, however, particles can diffuse through the water instead of getting trapped by the fibers in the mask. Say your mask is 0.1 mm thick, and is saturated with water - you can just model it as a 0.1 mm think layer of water. A respiratory droplet lands on the outside of your mask, depositing a reservoir of viral particles. The viral particles have a radius of about 50 nm. (a) Assuming your mask is at body temperature (about 310 K), what's the diffusion coefficient of the viral particle in water, D? The viscosity of water is 8.9x 10-4 Pa-s. (b) On average, how long will it take for the particles to diffuse through your wet mask? Convert your answer from seconds to minutes to get a better sense for the answer. This is a one dimensional random walk
Transcribed Image Text:With a dry mask, particles of different sizes can get trapped via various mechanisms by the fibers in the mask. Once a mask is wet, however, particles can diffuse through the water instead of getting trapped by the fibers in the mask. Say your mask is 0.1 mm thick, and is saturated with water - you can just model it as a 0.1 mm think layer of water. A respiratory droplet lands on the outside of your mask, depositing a reservoir of viral particles. The viral particles have a radius of about 50 nm. (a) Assuming your mask is at body temperature (about 310 K), what's the diffusion coefficient of the viral particle in water, D? The viscosity of water is 8.9x 10-4 Pa-s. (b) On average, how long will it take for the particles to diffuse through your wet mask? Convert your answer from seconds to minutes to get a better sense for the answer. This is a one dimensional random walk
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