The prediction of diffusivities for large biological solutes can be difficult. T
ID: 178452 • Letter: T
Question
The prediction of diffusivities for large biological solutes can be difficult. The Stokes-Einstein equation can be used. However, a semi-empirical equation proposed by Polson is often recommended when the molecular weight is greater than 1000 and dilute aqueous solutions are used.
Predict the diffusion coefficients of human fibrinogen and human serum albumin at 310.15 K in water using the equation of Polson. (Where Mfibrinogen = 339,700 (kg/kgmol), Malbumin = 72,300 (kg/kgmol), water viscosity = 6.92 X 10-4 Pa*s, and temperature is in Kelvin.)
AB s 15 9.40 X10 1/3Explanation / Answer
Diffusion coefficient of human fibrinogen as per given conditions is as follows:
DAB = 9.40 ×10-15 × 310.15/6.92 × 10-4 × (339700)1/3
=9.40 × 310.15/(6.92 × 69.77478) × 10-11
= 9.40 × 310.15/(482.84147) × 10-11
= 9.40 × 0.64234 × 10-11
= 6.038 × 10-11
Diffusion coefficient of human serum albumin as per given conditions is as follows:
DAB = 9.40 ×10-15 × 310.15/6.92 × 10-4 × (72300)1/3
= 9.40 × 310.15/(6.92 × 41.6593) × 10-11
= 9.40 × 310.15/(288.2823) × 10-11
= 9.40 × 1.07585 × 10-11
= 10.113 × 10-11
The diffusion coefficient of human fibrinogen at 310.15K in water is 6.038 × 10-11 (m2/s) and that of human serum albumin at the aforesaid condition is 10.113 × 10-11 respectively.
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