The pressure drop through a chromatographic column is to be calculated in different units. Concept introduction: The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation. The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as, ΔP L = 150 V ¯ 0 μ(1-ε) 2 ϕ s 2 D p 2 ε 3 ....... ( 1 ) In the above formula, the notations used are, ΔP = Pressure drop through packed tubes L = Length of tube V ¯ 0 = Superficial velocity μ = Viscosity of fluid ε = Bed porosity D p = Pellet diameter ϕ s = Sphericity of particles The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as, ΔP L = 1 .75 V ¯ 0 2 ρ(1-ε) ϕ s D p ε 3 ....... (2) ρ= Density of water Ergun equation can be derived by combining equation (1) and equation (2): ΔP L = 150 V ¯ 0 μ(1-ε) 2 ϕ s 2 D p 2 ε 3 + 1 .75 V ¯ 0 2 ρ(1-ε) ϕ s D p ε 3 ....... (3)

Question

Want to see the full answer?

Answer 1

Question

Chapter 7, Problem 7.18P

(a)

Interpretation Introduction

Interpretation: The pressure drop through a chromatographic column is to be calculated in different units.

Concept introduction: The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

(b)

Interpretation Introduction

Interpretation:

Sensitivity with particular void fraction should be calculated.

Concept Introduction:

The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

(11.35. For a binary gas mixture described by Eqs. (3.37) and (11.58), prove that: 4812 Pу132 ✓ GE = 812 Py1 y2. ✓ SE dT HE-12 T L = = (812 - 7 1/8/123) d² 812 Pylyz C=-T Pylyz dT dT² See also Eq. (11.84), and note that 812 = 2B12 B11 - B22. perimental values of HE for binary liquid mixtures of

please provide me the solution with more details. because the previous solution is not clear

please, provide me the solution with details.

Answer 2

Question

Chapter 7, Problem 7.18P

(a)

Interpretation Introduction

Interpretation: The pressure drop through a chromatographic column is to be calculated in different units.

Concept introduction: The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

(b)

Interpretation Introduction

Interpretation:

Sensitivity with particular void fraction should be calculated.

Concept Introduction:

The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 7, Problem 7.18P

(a)

Interpretation Introduction

Interpretation: The pressure drop through a chromatographic column is to be calculated in different units.

Concept introduction: The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

(b)

Interpretation Introduction

Interpretation:

Sensitivity with particular void fraction should be calculated.

Concept Introduction:

The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 7, Problem 7.18P

(a)

Interpretation Introduction

Interpretation: The pressure drop through a chromatographic column is to be calculated in different units.

Concept introduction: The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

(b)

Interpretation Introduction

Interpretation:

Sensitivity with particular void fraction should be calculated.

Concept Introduction:

The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 7, Problem 7.18P

(a)

Interpretation Introduction

Interpretation: The pressure drop through a chromatographic column is to be calculated in different units.

Concept introduction: The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

(b)

Interpretation Introduction

Interpretation:

Sensitivity with particular void fraction should be calculated.

Concept Introduction:

The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Answer 6

Chapter 7, Problem 7.18P

(a)

Interpretation Introduction

Interpretation: The pressure drop through a chromatographic column is to be calculated in different units.

Concept introduction: The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Answer 7

Chapter 7, Problem 7.18P

(a)

Interpretation Introduction

Interpretation: The pressure drop through a chromatographic column is to be calculated in different units.

Concept introduction: The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Answer 8

(b)

Interpretation Introduction

Interpretation:

Sensitivity with particular void fraction should be calculated.

Concept Introduction:

The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Answer 9

(b)

Interpretation Introduction

Interpretation:

Sensitivity with particular void fraction should be calculated.

Concept Introduction:

The pressure drop through the chromatographic column is calculated by the Ergun equation which is a combination of the Kozeny-Carman equation and Burke-Plummer equation.

The Kozeny-Carman equation is applicable for the particles in a bed whose Reynolds number is less than 1. It is given as,

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 ....... (1)

In the above formula, the notations used are,

ΔP = Pressure drop through packed tubesL = Length of tubeV¯0 = Superficial velocityμ = Viscosity of fluidε = Bed porosityDp = Pellet diameterϕs = Sphericity of particles

The Burke Plummer equation is applicable for the particles in a bed whose Reynolds number is more than 1000. It is given as,

ΔPL=1.75V¯02ρ(1-ε)ϕsDpε3 ....... (2)

ρ= Density of water

Ergun equation can be derived by combining equation (1) and equation (2):

ΔPL=150V¯0μ(1-ε)2ϕs2Dp2ε3 +1.75V¯02ρ(1-ε)ϕsDpε3 ....... (3)

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 13

Ch. 7 - Prob. 7.1P Ch. 7 - Prob. 7.2P Ch. 7 - Prob. 7.3P Ch. 7 - Prob. 7.4P Ch. 7 - Prob. 7.5P Ch. 7 - Prob. 7.6P Ch. 7 - Prob. 7.7P Ch. 7 - Prob. 7.8P Ch. 7 - Prob. 7.9P Ch. 7 - Prob. 7.10P

Solution Summary: The author explains that the pressure drop through a chromatographic column is calculated by the Kozeny-Carman equation and Burke-Plummer equation.

Want to see the full answer?

Chapter 7 Solutions