Question

Problem 21. A sheet of labeled water molecules starts at the origin in a one-dimensional problem and diffuses in the x direction. (a) Plot $\sigma$ vs $t$ for diffusion of water in water. (b) Deduce a \"velocity\" versus time. (c) How long does it take for the water to have a reasonable chance of traveling 1 µm? 10 µm? 100 µm? 1 mm? 1 cm? 10 cm?

          Problem 21. A sheet of labeled water molecules starts at the origin in a one-dimensional problem and diffuses in the x direction.
(a) Plot $\sigma$ vs $t$ for diffusion of water in water.
(b) Deduce a \"velocity\" versus time.
(c) How long does it take for the water to have a reasonable chance of traveling 1 µm? 10 µm? 100 µm? 1 mm? 1 cm? 10 cm?

Problem 21. A sheet of labeled water molecules starts at the origin in a one-dimensional problem and diffuses in the x direction.
(a) Plot σ vs t for diffusion of water in water.
(b) Deduce a v̈elocityv̈ersus time.
(c) How long does it take for the water to have a reasonable chance of traveling 1 µm? 10 µm? 100 µm? 1 mm? 1 cm? 10 cm?

Added by Mohamed C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

08/23/2023

Step 1

As time increases, the water molecules will spread out and the distribution will become more uniform. Show more…

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Problem 2. A sheet of labeled water molecules starts at the origin in a one-dimensional problem and diffuses in the x direction. a) Plot the diffusion of water in water. b) Deduce a velocity versus time. c) How long does it take for the water to have a reasonable chance of traveling 1 um? 10 um? 100 um? 1 mm? 1 cm? 10 cm?