ANSWERS(a) 5.15 x 1010 m-2 , 1.03 x 1011 m-2 , 1.67 x 1011 m-2(b) 7.23 mL/s(c) 32.9 µm SHOW STEPS TO REAFCH ANSWERS OF B AND C I HAVE PROVIDED PART A TASK 4:You know the compressibility index (n = 1.7) of a suspension split in three aliquots, filteredunder constant pressure filtration conditions at 3 different driving forces (20, 30, and 40 bar).Volume of cake formed by the passage of unit volume of filtrate is equal to 10.(a) Calculate the cake resistance of the three aliquots.(b) For the slurry aliquot filtered at a driving force of 20 bar, calculate the filtrate flow rate (mL/s)at the end of the filtration experiment. Use the filtration time and properties of the filter andsuspension reported in the tables below.Time (s)015303542PropertyDiameter cylindrical filter (mm)Viscosity of fluid (cP)Density of fluid (g/cm³)Total filtrate volume (mL)Powder bed porosity(c) Calculate the mean particle diameter of the slurry aliquot filtered at 30 bar of driving force.Value506.90.866000.6 EQN SHEETParticle Reynold's number: Re = *s PrμReynold's number in a packed bed: Re=32μUHagen-Poiseuille equation: AP = D²-APCarman-Kozeny equation: = kuUS² (1)²-APTurbulent regime equation: = 1.75 Pr²(1-E)x 83Ergun equation: = 150 μU(1-E)²x²ɛ³Filtration cake resistance: a = 150(1-g)²Cake compressibility index: In a = n In APConstant pressure drop filtration:How part a is calculatedIna = пли дрWIVAAα =Gas cyclone characteristic gas velocity: v=aCtFeedback to aid with (b)e+1.75 U² (1-6)XE³xUpfμ(1-ɛ)αφμ2A² (-AP)5-158 (0to1714 20x105-V+JAR24P√Eu pf=RimouA²(-AP)-Veq@ 20 BorrTask 4 (b):To determine the flow rate of filtrate you need to consider the cake resistance and theconstant pressure filtration equation.dV 2A²(-AP)dtαμφVrotatYou can use this equation to calculate the filtrate flow rate and the volume of filtrate at eachtime point during the filtration.You will notice in this question that the filter media resistance (Rm) is neglected and so thefiltration equation ignores that term in the equation. This is in contrast to the worked examplein the lecture which includes the filter media resistance term. Typically, tutorial questions inthis class will ignore the filter media resistance.

Question

ANSWERS(a) 5.15 x 1010 m-2 , 1.03 x 1011 m-2 , 1.67 x 1011 m-2(b) 7.23 mL/s(c) 32.9 µm SHOW STEPS TO REAFCH ANSWERS OF B AND C I HAVE PROVIDED PART A TASK 4:You know the compressibility index (n = 1.7) of a suspension split in three aliquots, filteredunder constant pressure filtration conditions at 3 different driving forces (20, 30, and 40 bar).Volume of cake formed by the passage of unit volume of filtrate is equal to 10.(a) Calculate the cake resistance of the three aliquots.(b) For the slurry aliquot filtered at a driving force of 20 bar, calculate the filtrate flow rate (mL/s)at the end of the filtration experiment. Use the filtration time and properties of the filter andsuspension reported in the tables below.Time (s)015303542PropertyDiameter cylindrical filter (mm)Viscosity of fluid (cP)Density of fluid (g/cm³)Total filtrate volume (mL)Powder bed porosity(c) Calculate the mean particle diameter of the slurry aliquot filtered at 30 bar of driving force.Value506.90.866000.6 EQN SHEETParticle Reynold's number: Re = *s PrμReynold's number in a packed bed: Re=32μUHagen-Poiseuille equation: AP = D²-APCarman-Kozeny equation: = kuUS² (1)²-APTurbulent regime equation: = 1.75 Pr²(1-E)x 83Ergun equation: = 150 μU(1-E)²x²ɛ³Filtration cake resistance: a = 150(1-g)²Cake compressibility index: In a = n In APConstant pressure drop filtration:How part a is calculatedIna = пли дрWIVAAα =Gas cyclone characteristic gas velocity: v=aCtFeedback to aid with (b)e+1.75 U² (1-6)XE³xUpfμ(1-ɛ)αφμ2A² (-AP)5-158 (0to1714 20x105-V+JAR24P√Eu pf=RimouA²(-AP)-Veq@ 20 BorrTask 4 (b):To determine the flow rate of filtrate you need to consider the cake resistance and theconstant pressure filtration equation.dV 2A²(-AP)dtαμφVrotatYou can use this equation to calculate the filtrate flow rate and the volume of filtrate at eachtime point during the filtration.You will notice in this question that the filter media resistance (Rm) is neglected and so thefiltration equation ignores that term in the equation. This is in contrast to the worked examplein the lecture which includes the filter media resistance term. Typically, tutorial questions inthis class will ignore the filter media resistance.

Accepted Answer

It is given that,the compressibility factor,,the volume of cake, ,Filtration condition have three…