Anthocyanins are being extracted from a bed of blueberries (15 cm in depth). The berries are in a tray that is 3 m long and 150 cm wide. Aqueous solvent (with a viscosity of 1.5 mPa s and a density of 1050 kg m³) flows at 20 cm s¹ over the bed parallel to its long dimension. What is the rate of extraction of the anthocyanins during the initial period when steady-state extraction conditions are attained? The concentration of the anthocyanains in the blueberries is 5 kg m³, and on average the concentration of anthocyanins in the solvent is 0.5 kg m³. The diffusivity of anthocyanins in water is 4 x 10-10 m² s-1 (approximately the same as in the solvent used for extraction).

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Anthocyanins are being extracted from a bed of blueberries
(15 cm in depth). The berries are in a tray that is 3 m long
and 150 cm wide. Aqueous solvent (with a viscosity of 1.5
mPa s and a density of 1050 kg m3) flows at 20 cm s1 over
the bed parallel to its long dimension. What is the rate of
extraction of the anthocyanins during the initial period
when steady-state extraction conditions are attained? The
concentration of the anthocyanains in the blueberries is 5
kg m3, and on average the concentration of anthocyanins in
the solvent is 0.5 kg m3. The diffusivity of anthocyanins in
water is 4 x 10-10 m² s-1 (approximately the same as in the
solvent used for extraction).
Transcribed Image Text:Anthocyanins are being extracted from a bed of blueberries (15 cm in depth). The berries are in a tray that is 3 m long and 150 cm wide. Aqueous solvent (with a viscosity of 1.5 mPa s and a density of 1050 kg m3) flows at 20 cm s1 over the bed parallel to its long dimension. What is the rate of extraction of the anthocyanins during the initial period when steady-state extraction conditions are attained? The concentration of the anthocyanains in the blueberries is 5 kg m3, and on average the concentration of anthocyanins in the solvent is 0.5 kg m3. The diffusivity of anthocyanins in water is 4 x 10-10 m² s-1 (approximately the same as in the solvent used for extraction).
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