The diffusion coefficient is 1.2269 × 10-10 m2/s. To find this result:
Calculate the friction coefficient of the particle:
ξ = 6π · η · r.
ξ = 6π · 0.00089 Pa · s · 2 × 10-9 m = 3.355 × 10-11 s/kg.
Multiply Boltzmann's constant and the absolute temperature of water:
kB · T = 4.12 × 10-21 J.
Divide by the friction coefficient to find the diffusion coefficient:
D = 4.12 × 10-21 J/3.355 × 10-11 s/kg = 1.2269 × 10-10 m2/s.
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