A reverse-osmosis unit is used to obtain pure water from saline water. The coefficient ofwater permeation is 0.1 mol/cm2 s atm. The pressure differential across the membrane is0.2 atm, and the osmotic pressure differential is 0.05 atm. The water flux across the membrane ismost nearly(A) 0.0050 mol/cm2·s(B) 0.015 mol/cm2·s(C) 0.050 mol/cm2·s(D) 0.15 mol/cm² ·s

Write the expression for water flux as follows: J = k∆P-∆π ......(1) Given, pressure differential, ∆P = 0.2 atm osmotic pressure differentia, ∆π = 0.05 atm coefficient of water permeation, k = 0.1 molcm2·s·atm Substitute the corresponding values in equation(1) and calculate flux as follows: J = k∆P-∆πJ = 0.1 molcm2·s·atm0.2 atm - 0.05 atmJ = 0.015 molcm2·s Therefore, the required solution is 0.015 molcm2·s.

Answered: A reverse-osmosis unit is used to…

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

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A reverse-osmosis unit is used to obtain pure water from saline water. The coefficient of
water permeation is 0.1 mol/cm2 s atm. The pressure differential across the membrane is
0.2 atm, and the osmotic pressure differential is 0.05 atm. The water flux across the membrane is
most nearly
(A) 0.0050 mol/cm2·s
(B) 0.015 mol/cm2·s
(C) 0.050 mol/cm2·s
(D) 0.15 mol/cm² ·s

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