A plate column as show in Figure Q4 is used to recover solute A from a dilute gasmixture using recycle water as solvent. The solvent entering flow rate is 280 kgmol/hand consists of 99.9 mol% of water and 0.1 mol% of A. The gas mixture enter thecolumn with 6 mol% of solute A and flow rate of 150 kgmol/h. The requiredconcentration of solute A in leaving stream, xA is 0.03. Assume the operatingtemperature and pressure are constant with the equilibrium relation for this system isу- 1.25х.L- 280 kgmol/hX= 0.001L = 280 kgmol/hX = 0.03V = 150 kgmol/hYA=0.06Figure Q4: Gas absorption System(a)Determine the amount of streams leaving the column, L, and Vz.(b)Determine the number of ideal stages analytically.(c)Based on the minimum solvent flow rate, comment on the actual solvent flowrate for this system.

Answered: A plate column as show in Figure Q4 is…

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

See similar textbooks

Related questions

Question

A plate column as show in Figure Q4 is used to recover solute A from a dilute gas
mixture using recycle water as solvent. The solvent entering flow rate is 280 kgmol/h
and consists of 99.9 mol% of water and 0.1 mol% of A. The gas mixture enter the
column with 6 mol% of solute A and flow rate of 150 kgmol/h. The required
concentration of solute A in leaving stream, xA is 0.03. Assume the operating
temperature and pressure are constant with the equilibrium relation for this system is
у- 1.25х.
L- 280 kgmol/h
X= 0.001
L = 280 kgmol/h
X = 0.03
V = 150 kgmol/h
YA=0.06
Figure Q4: Gas absorption System
(a)
Determine the amount of streams leaving the column, L, and Vz.
(b)
Determine the number of ideal stages analytically.
(c)
Based on the minimum solvent flow rate, comment on the actual solvent flow
rate for this system.

Expert Solution

Step 1

Plate column is used to recover solute from the dilute gas mixture using water as a solvent.

molar flowrate of entering solvent, $L_{2} = 280 Kmol/h$

mole fraction of water in entering solvent, $x_{w}^{L_{2}} = 0.999$

mole fraction of solute A, $x_{A}^{L_{2}} = 0.001$

molar flowrate of entering gas mixture, $V_{1} = 150 Kmol/h$

mole fraction of A in entering gas, $x_{A}^{V_{1}} = 0.06$

mole fraction of A in existing solvent, $x_{A}^{L_{1}} = 0.03$

The equilibrium relationship is given as,

$y = 1.25 x$ ...... (1)

Step 2

(a)

The Schematic of the process is given as,

Write the overall material balance on the extraction column,

$V_{1} + L_{2} = V_{2} + L_{1}$ ...... (2)

Substitute $V_{1} = 150 Kmol/h$ , $L_{2} = 280 Kmol/h$ , $L_{1} = 280 Kmol/h$ in equation (2)

$\begin{array}{l} 150 + 280 = V_{2} + 280 \\ V_{2} = 150 Kmol/h \end{array}$

Write the material balance of A in the column,

$V_{1} \times y_{A}^{V_{1}} + L_{2} \times x_{A}^{L_{2}} = L_{1} \times x_{A}^{L_{1}} + V_{2} \times y_{A}^{V_{2}}$ ...... (3)

Substitute $V_{1} = 150 Kmol/h$ , $y_{A}^{V_{1}} = 0.06$ , $L_{2} = 280 Kmol/h$ , $x_{A}^{L_{2}} = 0.001$ , $L_{1} = 280 Kmol/h$ , $x_{A}^{L_{1}} = 0.03$ , $V_{2} = 150 Kmol/h$ in equation (3)

$\begin{array}{l} 150 \times y_{A}^{V_{2}} + 280 \times 0.03 = 280 \times 0.001 + 150 \times 0.06 \\ y_{A}^{V_{2}} = 0.00586 \end{array}$

Therefore, A in L₁= $x_{A}^{L_{1}} \times L_{1} = 0.03 \times 280 = 8 .4 Kmol/h$

A in V₂ = $y_{A}^{V_{2}} \times V_{2} = 0.00586 \times 150 = 0 .879 Kmol/h$

Step by step

Solved in 4 steps with 1 images

Recommended textbooks for you

Introduction to Chemical Engineering Thermodynami…

Chemical Engineering

ISBN:

9781259696527

Author:

J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:

McGraw-Hill Education

Elementary Principles of Chemical Processes, Bind…

Chemical Engineering

ISBN:

9781118431221

Author:

Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard

Publisher:

WILEY

Elements of Chemical Reaction Engineering (5th Ed…

Chemical Engineering

ISBN:

9780133887518

Author:

H. Scott Fogler

Publisher:

Prentice Hall

Introduction to Chemical Engineering Thermodynami…

Chemical Engineering

ISBN:

9781259696527

Author:

J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:

McGraw-Hill Education

Elementary Principles of Chemical Processes, Bind…

Chemical Engineering

ISBN:

9781118431221

Author:

Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard

Publisher:

WILEY

Elements of Chemical Reaction Engineering (5th Ed…

Chemical Engineering

ISBN:

9780133887518

Author:

H. Scott Fogler

Publisher:

Prentice Hall

Process Dynamics and Control, 4e

Chemical Engineering

ISBN:

9781119285915

Author:

Seborg

Publisher:

WILEY

Industrial Plastics: Theory and Applications

Chemical Engineering

ISBN:

9781285061238

Author:

Lokensgard, Erik

Publisher:

Delmar Cengage Learning

Unit Operations of Chemical Engineering

Chemical Engineering

ISBN:

9780072848236

Author:

Warren McCabe, Julian C. Smith, Peter Harriott

Publisher:

McGraw-Hill Companies, The

SEE MORE TEXTBOOKS