Using the data from Table 1 , for the 300422m ground beans, in the coffee extraction paper (1984_J_Sci_Food_Agr_Spiro_kinetics_coffee_extraction.pdf) and the mass transfer correlation in Table 8.3-3 of ELC, (a) determine the nominal relative fluid-particle velocity, v0, in the system. You should use their reported overall mass transfer coeffient and Dsoln, for caffeine in water. (b) Estimate the value of that ensures the contribution of the Nernst layer is 0.1 the contribution of diffusion through the bean for Eq. 30 . Table 1. Rate constants for the infusion of caffeine from variously sized coffee particles over a temperature "At t=0 of the linear portion of the plot of equation (18). b Using a wire-held folded glass wool filter instead of the plugs described. 'Radius of a sphere with the same volume as that of a bean treated as half an ellipsoid. 'This run lasted 3 days. Notes: a The symbols used include the following: D is the diffusion coefficient of the material being transferred; k is the lo viscosity. Other symbols are defined for the specific situation. b The dimensionless groups are defined as follows: (dv0/) and (d2/) are the Reynolds number; /D is the Schmidt number; k/v0 is the Stanton number. c The mass transfer coefficient given here is the value averaged over the length L. Using the data from Table 1 , for the 300422m ground beans, in the coffee extraction paper (1984_J_Sci_Food_Agr_Spiro_kinetics_coffee_extraction.pdf) and the mass transfer correlation in Table 8.3-3 of ELC, (a) determine the nominal relative fluid-particle velocity, v0, in the system. You should use their reported overall mass transfer coeffient and Dsoln, for caffeine in water. (b) Estimate the value of that ensures the contribution of the Nernst layer is 0.1 the contribution of diffusion through the bean for Eq. 30 . Table 1. Rate constants for the infusion of caffeine from variously sized coffee particles over a temperature "At t=0 of the linear portion of the plot of equation (18). b Using a wire-held folded glass wool filter instead of the plugs described. 'Radius of a sphere with the same volume as that of a bean treated as half an ellipsoid. 'This run lasted 3 days. Notes: a The symbols used include the following: D is the diffusion coefficient of the material being transferred; k is the lo viscosity. Other symbols are defined for the specific situation. b The dimensionless groups are defined as follows: (dv0/) and (d2/) are the Reynolds number; /D is the Schmidt number; k/v0 is the Stanton number. c The mass transfer coefficient given here is the value averaged over the length L