Question

Use the Wilke chang correlation to estimate the diffusivity of methanol in water at 293K.
Data: VbA=37 cm^3/gmol
uB=1.005cp
(use additional information from other resources)

Answer 1

Wilke and Chang relation to estimate diffusivity

D_ABµ/T = 7.4 x 10^-8 x ( Φ_B M_B)^0.5 / (V_BA)^0.6

A is used for methanol

B is used for water (solvent)

µ = viscosity of water = 1.005 cP

Φ_B = association factor of solvent water = 2.26

M_B = molecular weight of water = 18 g/mol

V_BA = molar volume = 37 cm3/mol

D_AB = diffusivity of A in B = cm2/s

Temperature T = 293 K

DAB x 1.005/293 = 7.4 x 10^-8 x ( 2.26 x 18)^0.5 / (37)^0.6

DAB x 1.005/293 = 8.478 x 10^-9 x ( 2.26 x 18)^0.5

DAB = 1.5764 x 10^-5 cm2/s