Heat Transfer Question Problem 1.· A filtration process is carried out in the laboratory to filter calcium hydroxide slurry in waterusing a plate and trame press. This constant pressure (-deltaP=425,000 N/m²) filtration process occurs at 20 °C.The slurry concentration is 36 kg/m³ and the area of the filter is 0.65 ft?. The experimental data is plotted in theform of (time/volume) which is (t/V) versus volume (V) resulting in a linear line. The plot provides an interceptof 7.1 s/m³ and a slope of 35 s/m°.Note: The viscosity at 20°C is 0.00091 Pa.s .a)b)c)volume of wash water equal to the 20% of the filtrate volume. Calculate the time of washing in sec.Calculate the resistance due to the filter medium.Calculate the specific cake resistance.A total filtrate volume of 4 m³ is collected in the filtration process. The cake is washed using a3

Given data: -∆P=425000N/m2 Slurry concentration=36kg/m3 Area of filter=0.65ft2 Viscosity at 20oC=0.00091Pas Intercept=7.1s/m3 slope=35s/m6 Filtration equation, dtdV=KcV+B equation (1)Where, Kc=μ×cA2×∆PB=μRmA×∆PA=0.65ft2=0.65×0.30482=0.0604m2a) B is the intercept=7.1s/m3=0.00091Pas×Rm0.0604m2⇒Rm=2.003×108m-1b) Kc2=35sm6=0.00091Pas×α×36kg/m32×0.06042m4×425000Pa⇒α=3.313×106m/kgc) Filtrate volume, Vf=4m3Vw=0.20×Vffrom (1), dtdV=70V+7.1(dVdt)f=170V+7.1=170×4+7.1=1287.1m3stw=Vw(dVdt)f=0.8m31287.1m3s=229.68≈230s

Answered: Problem 1. ·A filtration process is…

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

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Heat Transfer Question

Problem 1.
· A filtration process is carried out in the laboratory to filter calcium hydroxide slurry in water
using a plate and trame press. This constant pressure (-deltaP=425,000 N/m²) filtration process occurs at 20 °C.
The slurry concentration is 36 kg/m³ and the area of the filter is 0.65 ft?. The experimental data is plotted in the
form of (time/volume) which is (t/V) versus volume (V) resulting in a linear line. The plot provides an intercept
of 7.1 s/m³ and a slope of 35 s/m°.
Note: The viscosity at 20°C is 0.00091 Pa.s .
a)
b)
c)
volume of wash water equal to the 20% of the filtrate volume. Calculate the time of washing in sec.
Calculate the resistance due to the filter medium.
Calculate the specific cake resistance.
A total filtrate volume of 4 m³ is collected in the filtration process. The cake is washed using a
3

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