Unit Operations of Chemical Engineering
7th Edition
ISBN: 9780072848236
Author: Warren McCabe, Julian C. Smith, Peter Harriott
Publisher: McGraw-Hill Companies, The
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Chapter 5, Problem 5.9P
Interpretation Introduction
Interpretation: The hourly energy cost for pumping the water is to be determined.
Concept introduction: The energy cost can be found by calculating the power required by the pump for the given amount of efficiency.
The power for FPS system is given as,
The notations used here are,
P = Power developed by the pump
g = Acceleration due to gravity
H = Head developed by the pump
Q = Flow rate by the pump
The Reynolds number is given as,
The notations used here are,
D = Diameter of pipe
The head developed by the pump is the sum of the original elevation of the pump and the head developed due to energy consumption by the pump.
The developed head in FPS units is calculated as,
L = Length of the pipe
The roughness parameter is given as,
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An 8-foot ion exchange bed needs to be backwashed with water to remove impurities. The particles have a density of 1.24 g/cm³ and an average size of 1.1 mm.
Calculate:
a. The minimum fluidization velocity using water at 30°C?
b. The velocity required to expand the bed by 30%?
Assumptions: The ion exchange bed particles are spherical (sphericity = 1.1), and the minimum fluidization porosity (ɛM) is 0.3.
Notes:
At 30°C, the viscosity (μ) of water is 0.797 cP, and the density (ρ) is 0.995 g/cm³.
fluidized bed reactor uses a solid catalyst with a particle diameter of 0.25 mm, a bulk density of 1.50 g/mL, and a sphericity of 0.90. Under packed bed conditions, the porosity is 0.35, and the bed height is 2 m. The gas enters from the bottom of the reactor at a temperature of 600°C, with a viscosity of 0.025 cP and a density of 0.22 lb/ft³. At minimum fluidization, the porosity reaches 0.45.
Calculate:
a. The minimum superficial velocity (VM) of the gas entering the fluidized column.
b. The bed height if V = 2 VM
c. The pressure drop under conditions where V =2.5 VM
A fluidized bed reactor uses a solid catalyst with a particle diameter of 0.25 mm, a bulk density of 1.50 g/mL, and a sphericity of 0.90. Under packed bed conditions, the porosity is 0.35, and the bed height is 2 m. The gas enters from the bottom of the reactor at a temperature of 600°C, with a viscosity of 0.025 cP and a density of 0.22 lb/ft³. At minimum fluidization, the porosity reaches 0.45.
Calculate:
a. The minimum superficial velocity (VM) of the gas entering the fluidized column.
b. The bed height if V = 2 VM
c. The pressure drop under conditions where V =2.5 VM
Chapter 5 Solutions
Unit Operations of Chemical Engineering
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