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a) An ultrafiltration plant is required to treat 50 m³/day of a protein-containing waste stream. The waste contains 0.5 kg/m of protein which has to be concentrated to 20 kg/m³ so as to allow recycling to the main process stream. The tubular membranes to be used are available as 30 m² modules. Pilot plant studies show that the flux (J) through these membranes is given by: J (in m/h) = 0.02 In (30/C) where C; is the concentration of protein in kg/m?. Due to fouling, the flux never exceeds 0.04 m/h. Operation for 20 h/day may be assumed. i. Calculate the minimum number of membrane modules required for the operation of a single feed and bleed stage. ii. Determine the flux, if the membrane modules used are double from the calculated in Question 2a(i).

a) An ultrafiltration plant is required to treat 50 m³/day of a protein-containing waste stream. The waste contains 0.5 kg/m of protein which has to be concentrated to 20 kg/m³ so as to allow recycling to the main process stream. The tubular membranes to be used are available as 30 m² modules. Pilot plant studies show that the flux (J) through these membranes is given by: J (in m/h) = 0.02 In (30/C) where C; is the concentration of protein in kg/m?. Due to fouling, the flux never exceeds 0.04 m/h. Operation for 20 h/day may be assumed. i. Calculate the minimum number of membrane modules required for the operation of a single feed and bleed stage. ii. Determine the flux, if the membrane modules used are double from the calculated in Question 2a(i).

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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a) An ultrafiltration plant is required to treat 50 m/day of a protein-containing waste stream. The waste contains 0.5 kg/m3 of protein which has to be concentrated to 20 kg/m3 so as to allow recycling to the main process stream. The tubular membranes to be used are available as 30 m? modules. Pilot plant studies show that the flux (J) through these membranes is given by: J (in m/h) = 0.02 In (30/C) where C; is the concentration of protein in kg/m³. Due to fouling, the flux never exceeds 0.04 m/h. Operation for 20 h/day may be assumed. i. Calculate the minimum number of membrane modules required for the operation of a single feed and bleed stage. ii. Determine the flux, if the membrane modules used are double from the calculated in Question 2a(i).
Transcribed Image Text:a) An ultrafiltration plant is required to treat 50 m/day of a protein-containing waste stream. The waste contains 0.5 kg/m3 of protein which has to be concentrated to 20 kg/m3 so as to allow recycling to the main process stream. The tubular membranes to be used are available as 30 m? modules. Pilot plant studies show that the flux (J) through these membranes is given by: J (in m/h) = 0.02 In (30/C) where C; is the concentration of protein in kg/m³. Due to fouling, the flux never exceeds 0.04 m/h. Operation for 20 h/day may be assumed. i. Calculate the minimum number of membrane modules required for the operation of a single feed and bleed stage. ii. Determine the flux, if the membrane modules used are double from the calculated in Question 2a(i).
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