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1. Derive a formula to calculate for the height, Zc of the heavier liquid overflow leg in a continuous vertical cylindrical decanter. The pressure at the discharge point of the heavier liquid is given as 90% of the pressure on top of the fluid mixture. Express the height of the heavier liquid as Za and the height of the lighter liquid as ZA. Denote for "A" as the lighter liquid and “B" for the heavier liquid. (Note: Pressure of the vapor is not equal to atmospheric pressure).

1. Derive a formula to calculate for the height, Zc of the heavier liquid overflow leg in a continuous vertical cylindrical decanter. The pressure at the discharge point of the heavier liquid is given as 90% of the pressure on top of the fluid mixture. Express the height of the heavier liquid as Za and the height of the lighter liquid as ZA. Denote for "A" as the lighter liquid and “B" for the heavier liquid. (Note: Pressure of the vapor is not equal to atmospheric pressure).

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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1. Derive a formula to calculate for the height, Zc of the heavier liquid overflow leg in a continuous vertical cylindrical decanter. The pressure at the discharge point of the heavier liquid is given as 90% of the pressure on top of the fluid mixture. Express the height of the heavier liquid as Ze and the height of the lighter liquid as Za. Denote for "A" as the lighter liquid and "B" for the heavier liquid. (Note: Pressure of the vapor is not equal to atmospheric pressure). 2. With the formula derived and the conditions applied in problem statement # 1, calculate for the heavier liquid overflow leg, the diameter, and the volume of the tank in separating liquid B from liquid A having densities of 1278 kg/m³ and 794 kg.m³, respectively. The volumetric flowrate of the mixture entering the tank is 30 m³/hr and the viscosity of the lighter liquid (continuous phase) is the same as the viscosity of water @ 35°C. Volume of heavier liquid is twice the volume of the lighter liquid and having a tank diameter to height as 1:2 ratio. Assume for 10% from the tank volume allotted for the vapor space having a pressure of 50 kPa.
Transcribed Image Text:1. Derive a formula to calculate for the height, Zc of the heavier liquid overflow leg in a continuous vertical cylindrical decanter. The pressure at the discharge point of the heavier liquid is given as 90% of the pressure on top of the fluid mixture. Express the height of the heavier liquid as Ze and the height of the lighter liquid as Za. Denote for "A" as the lighter liquid and "B" for the heavier liquid. (Note: Pressure of the vapor is not equal to atmospheric pressure). 2. With the formula derived and the conditions applied in problem statement # 1, calculate for the heavier liquid overflow leg, the diameter, and the volume of the tank in separating liquid B from liquid A having densities of 1278 kg/m³ and 794 kg.m³, respectively. The volumetric flowrate of the mixture entering the tank is 30 m³/hr and the viscosity of the lighter liquid (continuous phase) is the same as the viscosity of water @ 35°C. Volume of heavier liquid is twice the volume of the lighter liquid and having a tank diameter to height as 1:2 ratio. Assume for 10% from the tank volume allotted for the vapor space having a pressure of 50 kPa.
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