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A laboratory test on a suspension of a solid in a liquid gave the following information: Original height of sludge before settling Free settling rate 50 mm 0.25 mm/min Time to reach the end of the free settling period 80 min Height of the sludge at the end of 150 min 20 mm 7.5 mm Height of the sludge when completely settled a. Under laboratory conditions, calculate the time it would take for the solid to settle to 25% of the original height of the sludge. b. A vertical cylindrical tank with a diameter to height ratio of 1.50 will be used for industrial- scale sedimentation of the same sludge. If it is desired to settle the particles to 25% of their original height within a day, determine the dimensions of the tank. Note that the tank should only be filled up to 80% of its volume. Also, note that the tank should have dimensions expressed to the nearest 0.05 m.

A laboratory test on a suspension of a solid in a liquid gave the following information: Original height of sludge before settling Free settling rate 50 mm 0.25 mm/min Time to reach the end of the free settling period 80 min Height of the sludge at the end of 150 min 20 mm 7.5 mm Height of the sludge when completely settled a. Under laboratory conditions, calculate the time it would take for the solid to settle to 25% of the original height of the sludge. b. A vertical cylindrical tank with a diameter to height ratio of 1.50 will be used for industrial- scale sedimentation of the same sludge. If it is desired to settle the particles to 25% of their original height within a day, determine the dimensions of the tank. Note that the tank should only be filled up to 80% of its volume. Also, note that the tank should have dimensions expressed to the nearest 0.05 m.

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
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Problem 5 (Batch Sedimentation) A laboratory test on a suspension of a solid in a liquid gave the following information: Original height of sludge before settling Free settling rate 50 mm 0.25 mm/min 80 min Time to reach the end of the free settling period Height of the sludge at the end of 150 min 20 mm Height of the sludge when completely settled 7.5 mm a. Under laboratory conditions, calculate the time it would take for the solid to settle to 25% of the original height of the sludge. b. A vertical cylindrical tank with a diameter to height ratio of 1.50 will be used for industrial- scale sedimentation of the same sludge. If it is desired to settle the particles to 25% of their original height within a day, determine the dimensions of the tank. Note that the tank should only be filled up to 80% of its volume. Also, note that the tank should have dimensions expressed to the nearest 0.05 m.
Transcribed Image Text:Problem 5 (Batch Sedimentation) A laboratory test on a suspension of a solid in a liquid gave the following information: Original height of sludge before settling Free settling rate 50 mm 0.25 mm/min 80 min Time to reach the end of the free settling period Height of the sludge at the end of 150 min 20 mm Height of the sludge when completely settled 7.5 mm a. Under laboratory conditions, calculate the time it would take for the solid to settle to 25% of the original height of the sludge. b. A vertical cylindrical tank with a diameter to height ratio of 1.50 will be used for industrial- scale sedimentation of the same sludge. If it is desired to settle the particles to 25% of their original height within a day, determine the dimensions of the tank. Note that the tank should only be filled up to 80% of its volume. Also, note that the tank should have dimensions expressed to the nearest 0.05 m.
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